document.write( "Question 1194125: John wants to buy a car on hire purchase for N$75,000.00 at the rate of 10% p.a. repayable using monthly installments for a period of 2 years and 8 months. (No deposit was required). Use the given information to calculate the:
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Algebra.Com's Answer #848590 by ikleyn(52776)\"\" \"About 
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\n" ); document.write( "John wants to buy a car on hire purchase for N$75,000.00 at the rate of 10% p.a. repayable using
\n" ); document.write( "monthly installments for a period of 2 years and 8 months. (No deposit was required).
\n" ); document.write( "Use the given information to calculate the total amount of money expected to be paid
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\n" ); document.write( "\n" ); document.write( "        I do not think that this problem is for simple interest.\r
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\n" ); document.write( "\n" ); document.write( "        As this problem is worded, it is a typical loan problem and should be solved as a loan problem\r
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document.write( "Use the standard formula for the monthly payment for a loan\r\n" );
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document.write( "    M = \"P%2A%28r%2F%281-%281%2Br%29%5E%28-n%29%29%29\"\r\n" );
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document.write( "where P is the loan amount; r = \"0.1%2F12\" is the effective interest rate per month;\r\n" );
document.write( "n is the number of payments (same as the number of months); M is the monthly payment.\r\n" );
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document.write( "In this problem  P = $75000;  r = \"0.1%2F12\";  n = 2*12+8 = 32 is the number of monthly payments.\r\n" );
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document.write( "Substitute these values into the formula and get the monthly payment\r\n" );
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document.write( "    M = \"75000%2A%28%28%280.1%2F12%29%29%2F%281-%281%2B0.1%2F12%29%5E%28-32%29%29%29\" = $2679.82  (rounded).\r\n" );
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document.write( "Thus, the monthly payment is $2679.82  (the monthly installment)\r\n" );
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document.write( "The total amount of money expected to be paid is 32 times this monthly installment\r\n" );
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document.write( "          32 * 2679.82 = 85,754.24 dollars.\r\n" );
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document.write( "The difference $85,754.24 - $75,000 = $10754.24 is the interest John pays to the Hire Purchase Company.\r\n" );
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document.write( "ANSWER. The total amount of money expected to be paid to the Hire Purchase Company is 85,754.24 dollars.\r\n" );
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