{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":56075,"title":"Simple Interest : Calculate Future Value","description":"Theorem : Simple Interest\r\n\r\nwhere;\r\nF : Future Value\r\nP : Present Value\r\nr : Annual simple interest rate (decimal)\r\nt : Time in years\r\nCalculate F, given P, r and t. Round to nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Simple Interest\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"88\" height=\"18.5\" style=\"width: 88px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future Value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present Value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual simple interest rate (decimal)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003et : Time in years\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate F, given P, r and t. Round to nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = simpleFuture(P,r,t)\r\n \r\nend","test_suite":"%%\r\nP = 100;\r\nr = 0.12;\r\nt = 5;\r\ny_correct = 160;\r\nassert(abs( simpleFuture(P,r,t)-y_correct ) \u003c=1e-2)\r\n\r\n%%\r\nP = 140;\r\nr = 0.055;\r\nt = 3;\r\ny_correct = 163.1;\r\nassert(abs(simpleFuture(P,r,t)-y_correct)\u003c=1e-2)\r\n\r\n\r\n%%\r\nP = 12000;\r\nr = 0.045;\r\nt = 4;\r\ny_correct = 14160;\r\nassert(abs(simpleFuture(P,r,t)-y_correct)\u003c=1e-2)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:18:34.000Z","deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2022-10-01T16:18:34.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-29T18:10:06.000Z","updated_at":"2026-03-30T22:48:20.000Z","published_at":"2022-09-30T16:57:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Simple Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+rt)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future Value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present Value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual simple interest rate (decimal)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003et : Time in years\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate F, given P, r and t. Round to nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56095,"title":"Compound Interest : Future Value","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate F, given P, r and n. Round to the nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Compound Interest\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALIAAAAnCAYAAACrIRKYAAAAAXNSR0IArs4c6QAAB7RJREFUeF7tm2XINFUYhq9PRRFRseuHjYJiIIqBBSYWit2Jit3d3dgK+sNObEzEDsQOMDGwu7u4Ps75ON8wu7OzO7P77rtz4OVld+fUc+7zxP08M4GmNRIYBxKYMA720GyhkQANkBsQjAsJNEAeF8fYbKIBcoOBcSGBBsjj4hibTTRArh8DMwNLA48A/9Y/3ZidYQpgdeAl4NuqV9kAuWqJTj7ewsA+wCnAF/VONRSjzwMcBJwPfFjliouAvBCwCbA+sHLJifcALi/ZZ1CPzwlsX7DPn4CXgceA64E3gf/aLHgR4EDg2A5BPAuwMzB1AP6gZFH3vHMAh1UN5iIgx02tBDwZPnigWwD3Zw7SA1gUOBzYClgVeLxuqVQ8/mwBpGuEcQXhmcBfwILA0QHwysDvzwF+y1mD46h1vMgCv10TwDsGzT1vAP5JFe9rrA0nnrYMWPmlisV1CuRVkgMRwNsBX7dYwHLhED2ct6pYZB/HmBu4DlgN+AzYAHghmX8m4Epg4/DdtuH5dIlTBk08DXA68HeL9fv7DoAaairgAGD6EQGyMjoU+BW4IMey+fsKgLjz/0fAUcC6wBHBam2Tnk2nQN4duCwcyGnAMcA/LQ5Ik6rm2hf4ro8grGKqZYC7gbmCxcm7sALu3DDZFcB+4UDi/IsBFwJ7FlxkD8umHFNLoBWoQyO7t1OB54Lr8nsVAuthjPmBS4PP/EaLcXT3rgoWy6D5XWB2QLnvGpTKxK6dAHla4DxAMNs2Au5qswH9zRWBe4A/e9joILp6y68tuLDpMw8Afv4m9BGcxwUN2+6yZ/eme6ElWLtGjRzdQ90dL2OeS9RPmSsrL6wW64QcxSg21cKbAw8BTwB3AvsHJSHIn40L7gTI+m0GN4LzleAfD5vL0MkB6ePrCnjINn24m3I6pkC+BtgL0Ge2RVkdH4Tfybw+M4pAdt9rBjAbU72fEdaMQfNuCpwcrImPqFS1mLsBX5YBspM9GDpkD86v1dgnhkmHGeCpf/wOoABfzQg3aolo+tW6UmuRvdgwaFQvgWaw0zaqQJYVuzHgJ2vllwBuBT4HdgLeSxTFo8HyTYo/ijRy0cF5UGuF4EeqadDmqlPg5D2n6b0vBFwKUB/sh8yD8qBeZol9eVDB/nziVghwueO8vu3WNoxAVoEtHva7FLA8oKulHz5rcAEE4A3hcuexE1Hr6iPrXqR0ZrR8e4f4zFgikg5SwrenAi0Ccqre7bce8AxglsaN6NMdApyVOt5dokntpmbvpfXi+qRBXFbTuiYZhTOCf6YrYaJDfzoGvf5+cWBzpCDLxAfDCGRdMfEhqCIRoFJ7O8hBrNjanUl05wR+6qLF79cJLp6WUax6RvrG0r/2eTEqzyIgR/WulmnVWpnhsoAcJJAjCGUpbP5XO9tmCJpAQS8bmAi1xy0Zai0yD3LnZVmHYQRyPF81sa7nawGMWmaZBv3YS4IFk2prxRd77mrarYGvwqCCVMtnEC37ZUo7KlU5fZklKUu1/UT3ogjIIl8fxpaNdl2oZsToM71NZQE8Fp6XMjSwWzIITa0ijSbAY0ZPH+3eYD5/zFl0HENKqWxGc5iBHF0A5aeMPgjxUrusZyo+eWFx5l+MsSINqgW8KFg9PQCTUAL+SODq1JVtB+RIjziRLS/l7G36OUSSYwGQ3a7BIE1qx5YX0HYybgSybpZUWplWBZDTy1hm7uyzZXjslOmxKMoA92Ag76K3WpMXQfc0BXLp9bcDclTv+il5Wa7ImQqANPtVehED7pC9sJpGKZ6ybRSBnM2EytaULUuoHchFWS4vgfTJx0POVqQXVjfCNOhTZVEMjKJrkTI9ppr1hf8oKTutukm2spTlZNO008hl0tIl1577+KCCvfTCyk+qIT7tYkOjGOxFpkcFYP3Jw13IzXP3QqQZ0tLDtAJyNi2dVxxTerKCDoMCcnphdSnKUmdxW6NGv6VMj5zuLl3U1kSc6d5la1ZK4asVkNO0dFX0WqmF9enhKi9sTB7JfIxCQiQNLrutPbea0OBaV85itK5bKyCnaelWWa6uJx1DHau+sMpN1qJsBF4Fa1Ek1qqLhiLT04uiM08hvWtyqRu3ZNKe84Bsnaz1A76SYssrVSwS2jD87t71y9QINgl9K61886PbJrcuvymXfFuJQXynTx7WxFO3QVPRdFUCOWV6elF0yt+6dbN1MmNdtxTILk6qzWLvzZIRdeQtyTQQuhn4vuvZxk5Hzb/CU4jWucZmqeAdITMVSzPLrDqmUdX0RRF8LB43lWv1l31syltQy8tqcqt6t61KIKdMT7d05XQh2eHrY3nF9WXkXpjZKzVY8/BECcwXMnvW0saCorEgmrFWWO+bRKb6jSc+6VVARSnqXscfxf7KVA2ru+CbMmV51VGQmUG2b9n4PmMsgehp3w2QexJfy84elHUCT1d1UPUscyCj1nLRGyDXd5b63r72bjD5en3TDN3IujiWfvo2TnyzpudNNEDuWYRtBxDMsj8yGMNcj1KVlASxtN3ZVYLYxTVAruqIWo8jnSktJ/vQaWlj/avq/wyyNAuEV/srjxsaIPf/QJsZa5BAA+QahNoM2X8JNEDuv8ybGWuQQAPkGoTaDNl/CTRA7r/MmxlrkMD/44DtN4S6nS0AAAAASUVORK5CYII=\" width=\"89\" height=\"19.5\" style=\"width: 89px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate F, given P, r and n. Round to the nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = compoundFuture(P,r,n)\r\n\r\nend","test_suite":"%%\r\nP = 100;\r\nr = 0.05;\r\nn = 30;\r\nF = 432.19;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n\r\n%%\r\nP = 850;\r\nr = 0.039;\r\nn = 14;\r\nF = 1452.23;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n\r\n%%\r\nP = 10000;\r\nr = 0.014;\r\nn = 12;\r\nF = 11815.59;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:22:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":79,"test_suite_updated_at":"2022-10-01T16:22:56.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:07:26.000Z","updated_at":"2026-02-06T15:37:13.000Z","published_at":"2022-09-30T16:56:35.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate F, given P, r and n. Round to the nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56125,"title":"Ordinary Annuity : Future Value","description":"Theorem : Future Value of an Ordinary Annuity \r\n\r\nwhere;\r\nF : Future value\r\nA : Periodic payment\r\nr : Rate per period\r\nn : Number of periods (payments)\r\nCalculate F, given, A, r and n. Round to the nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 229.056px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 114.522px; transform-origin: 406.997px 114.528px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Future Value of an Ordinary Annuity \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.3166px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 18.1526px; text-align: left; transform-origin: 383.996px 18.1583px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"117.5\" height=\"36.5\" style=\"width: 117.5px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA : Periodic payment\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Rate per period\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Number of periods (payments)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate F, given, A, r and n. Round to the nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = annuityFuture(A,r,n)\r\n\r\nend","test_suite":"%%\r\nA = 150;\r\nr = 0.055;\r\nn = 15;\r\nF = 3361.30;\r\nassert(abs(annuityFuture(A,r,n) - F) \u003c= 1e-2)\r\n\r\n%%\r\nA = 4000;\r\nr = 0.017;\r\nn = 55;\r\nF = 359358.70;\r\nassert(abs(annuityFuture(A,r,n) - F) \u003c= 1e-2)\r\n\r\n\r\n%%\r\nA = 120;\r\nr = 0.041;\r\nn = 4;\r\nF = 510.34;\r\nassert(abs(annuityFuture(A,r,n) - F )\u003c= 1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:37:51.000Z","deleted_by":null,"deleted_at":null,"solvers_count":48,"test_suite_updated_at":"2022-10-01T16:37:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:37:05.000Z","updated_at":"2026-02-17T08:42:39.000Z","published_at":"2022-09-30T16:55:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Future Value of an Ordinary Annuity \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = A \\\\frac{(1+r)^n -1}{r}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA : Periodic payment\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Rate per period\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Number of periods (payments)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate F, given, A, r and n. Round to the nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":56075,"title":"Simple Interest : Calculate Future Value","description":"Theorem : Simple Interest\r\n\r\nwhere;\r\nF : Future Value\r\nP : Present Value\r\nr : Annual simple interest rate (decimal)\r\nt : Time in years\r\nCalculate F, given P, r and t. Round to nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Simple Interest\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"88\" height=\"18.5\" style=\"width: 88px; height: 18.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future Value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present Value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual simple interest rate (decimal)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003et : Time in years\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate F, given P, r and t. Round to nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = simpleFuture(P,r,t)\r\n \r\nend","test_suite":"%%\r\nP = 100;\r\nr = 0.12;\r\nt = 5;\r\ny_correct = 160;\r\nassert(abs( simpleFuture(P,r,t)-y_correct ) \u003c=1e-2)\r\n\r\n%%\r\nP = 140;\r\nr = 0.055;\r\nt = 3;\r\ny_correct = 163.1;\r\nassert(abs(simpleFuture(P,r,t)-y_correct)\u003c=1e-2)\r\n\r\n\r\n%%\r\nP = 12000;\r\nr = 0.045;\r\nt = 4;\r\ny_correct = 14160;\r\nassert(abs(simpleFuture(P,r,t)-y_correct)\u003c=1e-2)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:18:34.000Z","deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2022-10-01T16:18:34.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-29T18:10:06.000Z","updated_at":"2026-03-30T22:48:20.000Z","published_at":"2022-09-30T16:57:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Simple Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+rt)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future Value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present Value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual simple interest rate (decimal)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003et : Time in years\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate F, given P, r and t. Round to nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56095,"title":"Compound Interest : Future Value","description":"Theorem : Compound Interest\r\n\r\nwhere,\r\nF : Future value at the end of n periods\r\nP : Present value\r\nr : Annual nominal rate\r\nn : Total number of compounding periods\r\nCalculate F, given P, r and n. Round to the nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 213.741px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 106.87px; transform-origin: 406.997px 106.87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Compound Interest\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"89\" height=\"19.5\" style=\"width: 89px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value at the end of n periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eP : Present value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Annual nominal rate\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Total number of compounding periods\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate F, given P, r and n. Round to the nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = compoundFuture(P,r,n)\r\n\r\nend","test_suite":"%%\r\nP = 100;\r\nr = 0.05;\r\nn = 30;\r\nF = 432.19;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n\r\n%%\r\nP = 850;\r\nr = 0.039;\r\nn = 14;\r\nF = 1452.23;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n\r\n%%\r\nP = 10000;\r\nr = 0.014;\r\nn = 12;\r\nF = 11815.59;\r\nassert(abs(compoundFuture(P,r,n)-F)\u003c=1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:22:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":79,"test_suite_updated_at":"2022-10-01T16:22:56.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:07:26.000Z","updated_at":"2026-02-06T15:37:13.000Z","published_at":"2022-09-30T16:56:35.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Compound Interest\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = P(1+r)^n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value at the end of n periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eP : Present value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Annual nominal rate\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Total number of compounding periods\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate F, given P, r and n. Round to the nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56125,"title":"Ordinary Annuity : Future Value","description":"Theorem : Future Value of an Ordinary Annuity \r\n\r\nwhere;\r\nF : Future value\r\nA : Periodic payment\r\nr : Rate per period\r\nn : Number of periods (payments)\r\nCalculate F, given, A, r and n. Round to the nearest cent.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 229.056px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.997px 114.522px; transform-origin: 406.997px 114.528px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTheorem : Future Value of an Ordinary Annuity \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.3166px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 18.1526px; text-align: left; transform-origin: 383.996px 18.1583px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"117.5\" height=\"36.5\" style=\"width: 117.5px; height: 36.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ewhere;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7555px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 390.993px 40.8778px; transform-origin: 390.998px 40.8778px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF : Future value\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA : Periodic payment\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003er : Rate per period\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4389px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 362.994px 10.2137px; text-align: left; transform-origin: 363px 10.2194px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003en : Number of periods (payments)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21.0018px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.996px 10.5009px; text-align: left; transform-origin: 383.996px 10.5009px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eCalculate F, given, A, r and n. Round to the nearest cent.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = annuityFuture(A,r,n)\r\n\r\nend","test_suite":"%%\r\nA = 150;\r\nr = 0.055;\r\nn = 15;\r\nF = 3361.30;\r\nassert(abs(annuityFuture(A,r,n) - F) \u003c= 1e-2)\r\n\r\n%%\r\nA = 4000;\r\nr = 0.017;\r\nn = 55;\r\nF = 359358.70;\r\nassert(abs(annuityFuture(A,r,n) - F) \u003c= 1e-2)\r\n\r\n\r\n%%\r\nA = 120;\r\nr = 0.041;\r\nn = 4;\r\nF = 510.34;\r\nassert(abs(annuityFuture(A,r,n) - F )\u003c= 1e-2)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":8703,"edited_by":8703,"edited_at":"2022-10-01T16:37:51.000Z","deleted_by":null,"deleted_at":null,"solvers_count":48,"test_suite_updated_at":"2022-10-01T16:37:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-30T05:37:05.000Z","updated_at":"2026-02-17T08:42:39.000Z","published_at":"2022-09-30T16:55:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheorem : Future Value of an Ordinary Annuity \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF = A \\\\frac{(1+r)^n -1}{r}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF : Future value\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA : Periodic payment\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003er : Rate per period\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en : Number of periods (payments)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate F, given, A, r and n. Round to the nearest cent.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"term":"tag:\"future 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