Mathematics
Grade10
Easy
Question
The approximate annual interest rate r of a monthly installment loan is given by the formula:
![straight r space equals space fraction numerator open square brackets fraction numerator 24 space left parenthesis nm space minus space straight p right parenthesis over denominator straight n end fraction close square brackets over denominator open parentheses straight p space plus space nm over 12 close parentheses end fraction](data:image/png;base64,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)
Where n is the total number of payments, m is the monthly payment, and p is the amount financed.
find the approximate annual interest rate (to the nearest tenth percent) for a five-year auto loan of $ 40,000 that has monthly payments of $ 750.
- 5.8 %
- 9.56 %
- 3.4 %
- 4.6 %
Hint:
The Simple Interest (S.I.) formula is a way to figure out how much interest will accrue on a given principal sum of money. The interest charged on a loan or deposit is known as compound interest. Here we have given an expression
, we have to find find the approximate annual interest rate (to the nearest tenth percent) for a five-year.
The correct answer is: 4.6 %
So now we know that the cost you pay annually for borrowing money, including fees, is stated as a percentage and is known as the annual percentage rate (APR).
We have given the expression as:
![straight r space equals space fraction numerator open square brackets fraction numerator 24 space left parenthesis nm space minus space straight p right parenthesis over denominator straight n end fraction close square brackets over denominator open parentheses straight p space plus space nm over 12 close parentheses end fraction
H e r e colon
p equals $ 40 comma 000 semicolon space
m equals $ 750 comma space
n equals 5 cross times 12 equals 60 space m o n t h s
N o w space l e t s space c o n s i d e r space t h e space g i v e n space e x p r e s s i o n space w i t h space 100 percent sign comma space w e space g e t colon colon
straight r space equals space fraction numerator open square brackets fraction numerator 24 space left parenthesis nm space minus space straight p right parenthesis over denominator straight n end fraction close square brackets over denominator open parentheses straight p space plus space nm over 12 close parentheses end fraction
P u t t i n g space t h e space v a l u e s space i n space i t comma space w e space g e t colon
r space equals space fraction numerator open square brackets begin display style fraction numerator 24 space left parenthesis left parenthesis 60 cross times 750 right parenthesis – 40000 right parenthesis over denominator 60 end fraction end style close square brackets space space over denominator open square brackets 40000 plus begin display style fraction numerator left parenthesis 60 space cross times space 750 right parenthesis over denominator 12 end fraction end style close square brackets space end fraction space
r space equals space fraction numerator open square brackets begin display style fraction numerator 24 space left parenthesis 45000 – 40000 right parenthesis over denominator 60 end fraction end style close square brackets space space over denominator open square brackets 40000 plus begin display style fraction numerator left parenthesis 45000 right parenthesis over denominator 12 end fraction end style close square brackets space end fraction
r space equals space fraction numerator open square brackets begin display style fraction numerator 24 space left parenthesis 5000 right parenthesis over denominator 60 end fraction end style close square brackets space space over denominator open square brackets begin display style fraction numerator 480000 plus 45000 over denominator 12 end fraction end style close square brackets space end fraction
r space equals space fraction numerator open square brackets begin display style 120000 over 5 end style close square brackets space space over denominator open square brackets begin display style 525000 over 1 end style close square brackets space end fraction
r space equals space 24000 over 525000
r equals 0.0457 cross times 100 equals 4.57 equals 4.6 percent 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cnTOJFIA6ErnpDeDzASUD30sXLfKZfc/dDLrKusS7QWJFMCqSqT6dZItAeVDHwvXrXJ0zlyRAkBXOqfQq4fQx8J1qxydM4kUAHqmc/KVD30sXLfK0TmTSAGgpxOpCn0sXLfK0TmTSAGgpxNp6CPvulUOJFIAoHOC11aXTLT9LOd1faCGfmasc38uWLmTtFUAoHNC4juXPHIv71zqUPeJ1JX6dpd8rekEbRUA6JxQ7Vzqk6qe01YBgM4J1c/lPG0VAOicUO1c6iTdM7RVAKBzQvy51Cc/6VOrxmmrAEDnhLhzqV8Xuuf808/RVgGAzolzWWCzJdEttFUAoHNC3Lnc5pLHKa6hrQIAnRPizuV6iTsueYwibRUA6JwQeS7v2xUpbRUA6JyQcw6LJsiuOpE2bRUA6JxAWwUAOieAtgqgpzunfh7uA20TAAAAAAAAAAAAAAAAAACgs7jLEbRBAGizEwNokwCwijqtzySucGr63hU7lyRSACTSDtop8ROnZdWYsXNKIgVAIhXjEtMSbyQWJJ5JnAxY73DE+2jHu6vCtmIesr5W4rrEU4spW9Z0uXYU1WG3jiek3G6JJyRSACTSxGOJExJj9vN2S3wnCtbRsi8C32eXba/KtmKO46HEkUySetiBclWV1WG3jie03BNLqCRSAAOfSH02STwveF2vUk4Hvs9XEucqbiv0OI5LXPMsv5r5g6Ducu0oOu5uHU/McX/u4j7zJpECGKhEquZzlo+nrlBC3ucHif0VtxV6HDo0PeFZftBea6pcVWXH3a3jiTnufZFX6CRSAAOVSLWT9A3HjtiV6qaI93lj61XZVuhxzBW8x2yD5aoIOe5uHU/McY/YuSWRAiCRZoy65CaTcc9rOpR3LvJ9FnOWh2xLly1Yh/1A4oJ7/1luyHs4W7+pclWEHHe3jif2uBc61CYBoG8S6TqJe84/vLfTc5VaNZHGbmvYJTe2XJZ4KbEtIvHMN1guVuhxd+t4Yo+bRAqARJqy2ZLolpzXn3peqzq0W3VbzpL848yyWecfkhx1y4ck6y6X3veQr+iEHne3jifmuBnaBUAiTdErvBsSa0q2GfO9zpYf3cph4qrbyrs60hthJnOS7nSD5aqcl5Dj7tbxxBw3NxsBIJGa9RJ3XDJ82sT7lH39JXafd0i8ziw7Zn8IZN1yy7+2UXe5ps5Vt44n5rjP2bklkQIY+ER63638zLHO9yl7IEPRtu7alc+QxaQl0WOeso8kztsfBDrseMmtHAJuolxT56pbxxNajgcyACCRpspWHWINfR99zu7OCtvSBwS8cslNMHN25bwnZ329UeqmS4Z937nkgQdjHSjX1Lnq1vGElOMRgQBIpB3GQ+tXFx5aD4BE2gVnHdOorQb6ueiZVdImAYBOC7RJAKDTAm0SAOi0ANokgMHptJYIooEgkQLgr3+ANgkAdFqgTQIAnRZokwBApwXQJgHQaQG0SQB0Wsinz+/V5/jq/Jr6jNnvJQ5kyqyVuO6SOUU1pmwZaJMA6LQG2hlLnFtTCfOkW/lQdp1780jq58Mubj5O2iQA0GmtOtslfg4op7PQXPMsv+rqn5+UNgkAdFp9YyowEU5LTHiWH7TXQJsEQKc1kF5KbAgop3OhjniW67JZqpE2CYBOa1DpjUX62ehdl0xiveCSod6TmXKLBdtYoBppkwDotAa5nn6ROCQxLDEkMS7xSuKzwEQ6TzXSJgHQaQ0q/brLRs/yXRJ/pH7W4Vvf0O6oY2iXNgmATmuAPbCrUJ/0kK3eUDTpKTPhuNmINgmATmuA6fDtJ57l21zy0IWWYxI3POVuOb7+QpsEQKc1wHS49rHEaZd8Rqr2SjyX+DhT9pHEeSun612ydUGbBECnNdA+tKvNty65qUiT435PuXUSN11yc5He4avfQR2j+miTAOi0ANokANBpgTYJoJ99IXFR4qxLvtA/bz93s9PKBkAbBNCzdAou/d7h1xKb2+xs6HwAAANHn4RzjGoAACCefqH/XQ/sxxJBrKIAMED0e4ePGkx+AACsavpkm1t9fgwkcNBuAHTNNZc8GaffO0SAdgSgK3Quy0N0gANNn9l7ZRUdzxW3fBo52hGARs25ZDotEulg2inx0yo8rhk7NtoRANABNp5wdhW8fjinfmNuMFsrcd0lM9JoTNmyJsvtlnhCOwIAOsAm7bJEmkcfav+iIJGGeihxJJOcH3ag3BNLqLQjAKADbMRXEucKXtcrvdNtJtLjLrmhLeuqWz4Xat3l1Ocu7rNf2hEAEimi/OD8U66p8dRVXjuJdFpiwrP8oL3WVDm1L+dKlXYEAHSAtXjjkkm+s3SZTg6+qYZEOlfwHrMNlmste0M7AgA6wKYs5izX4dBzJfWryxYsUT2QuOD8E4UvFrz/QoPlipbRjgCADrCxRKpfGZmJqN9hl9zQc1nipcS2iEQ632A5EikA0AE2zje0q18n2VKxfvWzy8eZZbPOPxQ76pYPxdZdzjmGdgGADrBhP7rkpqJsXbYzCUH2qlBvAJrMSbrTDZZT3GwEAHSAjSr7+kts/e6QeJ1ZpvPc3vCU1YkSTjRYztmxfUU7AgA6wKaUPZChqH7v2hXfkMWkJVHfBPE6Td95l3yeqsOtl9zKIeAmyvFABgBooAM8XFC+G4+yiynXBH3O7s4K9asPRnjlkpt/9CspdyT25Ky/TuKmS4Z939nxjTVcjkcEAkADHWDRI+9Utx5lF1quCTy0nkQKAMEdYNEj77r1KLuYR941lQDOutU1jZp+Lnqm4ZENABi4RFr2yLtuPcou5pF3JIDe+IMMAAauAwx55F23HmUX88g7EgCJFAC60gGGPPKuW4+yi33kHQmARAoAHe0AQx95161H2cU+8q61/1UfnLA04EEiBYDIDjD0kXfdepRdzCPvSABckQJAxzvA0CuUbj3KLuaRdyQAEikA9EQH6CvfrUfZxTzyjgRAIgWAnk2kqluPsgstRwIgkQJATyfSbjzKLqYcSKQAQAc4ALa6ZKLvZzmv68Mx9PNfnSt0wcqdpB0BAB0gEt+55BF9eedFh61PpK66t7vkK0onaEcAQAeIaudFnzr1nHYEAHSAqH5e5mlHAEAHiGrnRScJn6EdAQAdIOLPiz7FSZ9ANU47AgA6QMSdF/3qzz3nn0qOdgQAdICclwKbLYluoR0BAB0g4s7LNpc8GnEN7QgA6AARd17WS9xxySMRaUcAQAeIyPNy365IaUcAQAeInPNRNKF21Ym3aUcAQAcI2hEA0AGCdgQAq64D7KUhQtBuAAAAAAAAAAAAAAAAAAAAoLhjkzoGALTZyYM6BwCsok79M4krfVB3V2xfSaQAQCLtGTslfuqj+puxfSaRAgCJtNS4xLTEG4kFiWcSJwPWOxzxPpqYdmX2L/TB7mslrks8tZiyZU2W2y3xhEQKACTSEI8lTkiM2c/bLfGdKFhHy74IfJ9dtr2q+/dQ4kgmgT/sQLknllBJpABAIo22SeJ5wet6FXc68H2+kjhXcf+OS1zzLL+aSfR1l1Ofu7jPdEmkAEAiXWY+Z/l46gou5H1+kNhfcf90yHnCs/ygvdZUObUv50qVRAoAJNJSmkRmPMtH7Ep1U8T7vLH1quzfnGfd1n7MNliutewNiRQASKSxRl1yE8645zUd6jwX+T6LOfu3YInqgcQF9/4z2rJ1WxYaLFe0jEQKACTSXOsk7jn/8OdOV+2moaLkNeySG3ouS7yU2Bax7nyD5UikAEAijbbZkuiWnNefel6rOrTro8n7cWbZbM66o275UGzd5ZxjaBcASKQR9ErwhsSakm3GfP+z5UfnHyYOuSrUG4Amc5LudIPlFDcbAQCJNMh6iTsuGWZt4n18X3/x2SHxOrPsmCX4rFtu+ddV6i7nbJ+/IpECAIm0zH238rPJOt/H90CGu3bFN2QxaUn0mGf9RxLnLdHrcOslt3IIuIlyPJABAEikwWVjh2tj30efs5t+dq0+GOGVS27+mbMr4j056+oNUDddMuz7ziUPgxhruByPCAQAEmlP4aH1AAASaZvOuv6YRk0/Fz2zSuocALCKEil1DgCgUwd1DgB06qDOAQBtdepLRKUgkQIAiRTUOQCATp06BwDQqVPnAAA6dVDnAECnDuocANA/nbo+V1efr6vzfeozb7+XOJAps1biukvmQdWYsmXUOQBgoDv1M5Y4t6YS5km38iHxOhfokdTPh13c/KDUOQBg1XXq2yV+Diins8Nc8yy/6lbOG0qdAwAGplOfCkyE0xITnuUH7TXqHAAwkJ36S4kNAeV0jtIRz3JdNkudAwAGtVPXG4v0s9G7LplUe8ElQ70nM+UWC7axQJ0DAAa1U9f9+kXikMSwxJDEuMQric8CE+k8dQ4AGNROXb/ustGzfJfEH6mfdfjWN7Q76hjaBQAMcKf+wK5CfdJDtnpD0aSnzITjZiMAwAB36jp8+4ln+TaXPHSh5ZjEDU+5W46vvwAABrhT1+HaxxKnXfIZqdor8Vzi40zZRxLnrZyud8nWpc4BAAPdqX9oV5tvXXJTkSbH/Z5y6yRuuuTmIr3DV7+DOkadAwDo1KlzAACdOqhzAIPiC4mLEmdd8uX/eft5tXfq2QB1DACV6HRd+h3FryU2t9lR0nECAAaOPjXnGNUAAEA8/fL/ux7YjyWC6HAAQC30O4qPGkx+AACsavoUnFs9tk8kZNBuAPSNay55ik6vdYgA7QhAX9B5Lw/RAYJECgDVzLlk6i06QJBIAYAO0B0uWH+NS4ay9Rm2+tCJH5x/7s+1EtddMtuKxpQt65Vydcurs5ibyHqxLkikAEikkfSB7S8K1tcHvH/p3s+WcsUtn5qs5aHEkUyiedhD5epUVGcx56EX64JECoBEGkmvWk4XrD+f+Vm/Q7uQWXbcrlqzrrrl83x2q1zd9VZUZ6Hb68W6IJECIJFGGk9dseSt/9Ytn2ZME+nvmTLTEhOedQ/aa90uV2e9ldVZ6PZ6sS5IpABIpBF0mFYnvt5Usr5e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Nrr3jw38yXGzEdAX/h8wFai8Fo3gRAAAE6N0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+cjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtbz4mI3hBMDs8L21vPjxtZnJhYz48bWZlbmNlZCBjbG9zZT0iXSIgb3Blbj0iWyIgc2VwYXJhdG9ycz0ifCI+PG1mcmFjPjxtcm93Pjxtbj4yNDwvbW4+PG1vPiYjeEEwOzwvbW8+PG1vPig8L21vPjxtaT5ubTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW8+JiN4QTA7PC9tbz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+cDwvbWk+PG1vPik8L21vPjwvbXJvdz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+bjwvbWk+PC9tZnJhYz48L21mZW5jZWQ+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPnA8L21pPjxtbz4mI3hBMDs8L21vPjxtbz4rPC9tbz48bW8+JiN4QTA7PC9tbz48bWZyYWM+PG1pPm5tPC9taT48bW4+MTI8L21uPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48L21mcmFjPjxtc3BhY2UgbGluZWJyZWFrPSJuZXdsaW5lIi8+PG1pPkg8L21pPjxtaT5lPC9taT48bWk+cjwvbWk+PG1pPmU8L21pPjxtbz46PC9tbz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtaT5wPC9taT48bW8+PTwvbW8+PG1vPiQ8L21vPjxtbj40MDwvbW4+PG1vPiw8L21vPjxtbj4wMDA8L21uPjxtbz47PC9tbz48bW8+JiN4QTA7PC9tbz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtaT5tPC9taT48bW8+PTwvbW8+PG1vPiQ8L21vPjxtbj43NTA8L21uPjxtbz4sPC9tbz48bW8+JiN4QTA7PC9tbz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtaT5uPC9taT48bW8+PTwvbW8+PG1uPjU8L21uPjxtbz4mI3hENzs8L21vPjxtbj4xMjwvbW4+PG1vPj08L21vPjxtbj42MDwvbW4+PG1vPiYjeEEwOzwvbW8+PG1pPm08L21pPjxtaT5vPC9taT48bWk+bjwvbWk+PG1pPnQ8L21pPjxtaT5oPC9taT48bWk+czwvbWk+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bWk+TjwvbWk+PG1pPm88L21pPjxtaT53PC9taT48bW8+JiN4QTA7PC9tbz48bWk+bDwvbWk+PG1pPmU8L21pPjxtaT50PC9taT48bWk+czwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPmM8L21pPjxtaT5vPC9taT48bWk+bjwvbWk+PG1pPnM8L21pPjxtaT5pPC9taT48bWk+ZDwvbWk+PG1pPmU8L21pPjxtaT5yPC9taT48bW8+JiN4QTA7PC9tbz48bWk+dDwvbWk+PG1pPmg8L21pPjxtaT5lPC9taT48bW8+JiN4QTA7PC9tbz48bWk+ZzwvbWk+PG1pPmk8L21pPjxtaT52PC9taT48bWk+ZTwvbWk+PG1pPm48L21pPjxtbz4mI3hBMDs8L21vPjxtaT5lPC9taT48bWk+eDwvbWk+PG1pPnA8L21pPjxtaT5yPC9taT48bWk+ZTwvbWk+PG1pPnM8L21pPjxtaT5zPC9taT48bWk+aTwvbWk+PG1pPm88L21pPjxtaT5uPC9taT48bW8+JiN4QTA7PC9tbz48bWk+dzwvbWk+PG1pPmk8L21pPjxtaT50PC9taT48bWk+aDwvbWk+PG1vPiYjeEEwOzwvbW8+PG1uPjEwMDwvbW4+PG1vPiU8L21vPjxtbz4sPC9tbz48bW8+JiN4QTA7PC9tbz48bWk+dzwvbWk+PG1pPmU8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5nPC9taT48bWk+ZTwvbWk+PG1pPnQ8L21pPjxtbz46PC9tbz48bW8+OjwvbW8+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+cjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtbz4mI3hBMDs8L21vPjxtZnJhYz48bWZlbmNlZCBjbG9zZT0iXSIgb3Blbj0iWyIgc2VwYXJhdG9ycz0ifCI+PG1mcmFjPjxtcm93Pjxtbj4yNDwvbW4+PG1vPiYjeEEwOzwvbW8+PG1vPig8L21vPjxtaT5ubTwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW8+JiN4QTA7PC9tbz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+cDwvbWk+PG1vPik8L21vPjwvbXJvdz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+bjwvbWk+PC9tZnJhYz48L21mZW5jZWQ+PG1mZW5jZWQgc2VwYXJhdG9ycz0ifCI+PG1yb3c+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPnA8L21pPjxtbz4mI3hBMDs8L21vPjxtbz4rPC9tbz48bW8+JiN4QTA7PC9tbz48bWZyYWM+PG1pPm5tPC9taT48bW4+MTI8L21uPjwvbWZyYWM+PC9tcm93PjwvbWZlbmNlZD48L21mcmFjPjxtc3BhY2UgbGluZWJyZWFrPSJuZXdsaW5lIi8+PG1pPlA8L21pPjxtaT51PC9taT48bWk+dDwvbWk+PG1pPnQ8L21pPjxtaT5pPC9taT48bWk+bjwvbWk+PG1pPmc8L21pPjxtbz4mI3hBMDs8L21vPjxtaT50PC9taT48bWk+aDwvbWk+PG1pPmU8L21pPjxtbz4mI3hBMDs8L21vPjxtaT52PC9taT48bWk+YTwvbWk+PG1pPmw8L21pPjxtaT51PC9taT48bWk+ZTwvbWk+PG1pPnM8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5pPC9taT48bWk+bjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPmk8L21pPjxtaT50PC9taT48bW8+LDwvbW8+PG1vPiYjeEEwOzwvbW8+PG1pPnc8L21pPjxtaT5lPC9taT48bW8+JiN4QTA7PC9tbz48bWk+ZzwvbWk+PG1pPmU8L21pPjxtaT50PC9taT48bW8+OjwvbW8+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bWk+cjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtbz4mI3hBMDs8L21vPjxtZnJhYz48bXJvdz48bWZlbmNlZCBjbG9zZT0iXSIgb3Blbj0iWyI+PG1zdHlsZSBkaXNwbGF5c3R5bGU9InRydWUiPjxtZnJhYz48bXJvdz48bW4+MjQ8L21uPjxtbz4mI3hBMDs8L21vPjxtbz4oPC9tbz48bW8+KDwvbW8+PG1uPjYwPC9tbj48bW8+JiN4RDc7PC9tbz48bW4+NzUwPC9tbj48bW8+KTwvbW8+PG1vPiYjeDIwMTM7PC9tbz48bW4+NDAwMDA8L21uPjxtbz4pPC9tbz48L21yb3c+PG1uPjYwPC9tbj48L21mcmFjPjwvbXN0eWxlPjwvbWZlbmNlZD48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48L21yb3c+PG1yb3c+PG1mZW5jZWQgY2xvc2U9Il0iIG9wZW49IlsiPjxtcm93Pjxtbj40MDAwMDwvbW4+PG1vPis8L21vPjxtc3R5bGUgZGlzcGxheXN0eWxlPSJ0cnVlIj48bWZyYWM+PG1yb3c+PG1vPig8L21vPjxtbj42MDwvbW4+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEQ3OzwvbW8+PG1vPiYjeEEwOzwvbW8+PG1uPjc1MDwvbW4+PG1vPik8L21vPjwvbXJvdz48bW4+MTI8L21uPjwvbWZyYWM+PC9tc3R5bGU+PC9tcm93PjwvbWZlbmNlZD48bW8+JiN4QTA7PC9tbz48L21yb3c+PC9tZnJhYz48bW8+JiN4QTA7PC9tbz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtaT5yPC9taT48bW8+JiN4QTA7PC9tbz48bW8+PTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1mcmFjPjxtcm93PjxtZmVuY2VkIGNsb3NlPSJdIiBvcGVuPSJbIj48bXN0eWxlIGRpc3BsYXlzdHlsZT0idHJ1ZSI+PG1mcmFjPjxtcm93Pjxtbj4yNDwvbW4+PG1vPiYjeEEwOzwvbW8+PG1vPig8L21vPjxtbj40NTAwMDwvbW4+PG1vPiYjeDIwMTM7PC9tbz48bW4+NDAwMDA8L21uPjxtbz4pPC9tbz48L21yb3c+PG1uPjYwPC9tbj48L21mcmFjPjwvbXN0eWxlPjwvbWZlbmNlZD48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48L21yb3c+PG1yb3c+PG1mZW5jZWQgY2xvc2U9Il0iIG9wZW49IlsiPjxtcm93Pjxtbj40MDAwMDwvbW4+PG1vPis8L21vPjxtc3R5bGUgZGlzcGxheXN0eWxlPSJ0cnVlIj48bWZyYWM+PG1yb3c+PG1vPig8L21vPjxtbj40NTAwMDwvbW4+PG1vPik8L21vPjwvbXJvdz48bW4+MTI8L21uPjwvbWZyYWM+PC9tc3R5bGU+PC9tcm93PjwvbWZlbmNlZD48bW8+JiN4QTA7PC9tbz48L21yb3c+PC9tZnJhYz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtaT5yPC9taT48bW8+JiN4QTA7PC9tbz48bW8+PTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1mcmFjPjxtcm93PjxtZmVuY2VkIGNsb3NlPSJdIiBvcGVuPSJbIj48bXN0eWxlIGRpc3BsYXlzdHlsZT0idHJ1ZSI+PG1mcmFjPjxtcm93Pjxtbj4yNDwvbW4+PG1vPiYjeEEwOzwvbW8+PG1vPig8L21vPjxtbj41MDAwPC9tbj48bW8+KTwvbW8+PC9tcm93Pjxtbj42MDwvbW4+PC9tZnJhYz48L21zdHlsZT48L21mZW5jZWQ+PG1vPiYjeEEwOzwvbW8+PG1vPiYjeEEwOzwvbW8+PC9tcm93Pjxtcm93PjxtZmVuY2VkIGNsb3NlPSJdIiBvcGVuPSJbIj48bXN0eWxlIGRpc3BsYXlzdHlsZT0idHJ1ZSI+PG1mcmFjPjxtcm93Pjxtbj40ODAwMDA8L21uPjxtbz4rPC9tbz48bW4+NDUwMDA8L21uPjwvbXJvdz48bW4+MTI8L21uPjwvbWZyYWM+PC9tc3R5bGU+PC9tZmVuY2VkPjxtbz4mI3hBMDs8L21vPjwvbXJvdz48L21mcmFjPjxtc3BhY2UgbGluZWJyZWFrPSJuZXdsaW5lIi8+PG1pPnI8L21pPjxtbz4mI3hBMDs8L21vPjxtbz49PC9tbz48bW8+JiN4QTA7PC9tbz48bWZyYWM+PG1yb3c+PG1mZW5jZWQgY2xvc2U9Il0iIG9wZW49IlsiPjxtc3R5bGUgZGlzcGxheXN0eWxlPSJ0cnVlIj48bWZyYWM+PG1uPjEyMDAwMDwvbW4+PG1uPjU8L21uPjwvbWZyYWM+PC9tc3R5bGU+PC9tZmVuY2VkPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjwvbXJvdz48bXJvdz48bWZlbmNlZCBjbG9zZT0iXSIgb3Blbj0iWyI+PG1zdHlsZSBkaXNwbGF5c3R5bGU9InRydWUiPjxtZnJhYz48bW4+NTI1MDAwPC9tbj48bW4+MTwvbW4+PC9tZnJhYz48L21zdHlsZT48L21mZW5jZWQ+PG1vPiYjeEEwOzwvbW8+PC9tcm93PjwvbWZyYWM+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bWk+cjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1vPj08L21vPjxtbz4mI3hBMDs8L21vPjxtZnJhYz48bW4+MjQwMDA8L21uPjxtbj41MjUwMDA8L21uPjwvbWZyYWM+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bWk+cjwvbWk+PG1vPj08L21vPjxtbj4wPC9tbj48bW8+LjwvbW8+PG1uPjA0NTc8L21uPjxtbz4mI3hENzs8L21vPjxtbj4xMDA8L21uPjxtbz49PC9tbz48bW4+NDwvbW4+PG1vPi48L21vPjxtbj41NzwvbW4+PG1vPj08L21vPjxtbj40PC9tbj48bW8+LjwvbW8+PG1uPjY8L21uPjxtbz4lPC9tbz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjwvbWF0aD5bCEBpAAAAAElFTkSuQmCC)
Here we sed the concept of simple interest, compound interest and found out the annual rate. Simple Interest (S.I.) is a way for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. So the annual rate percent is 4.6%.