document.write( "Question 1185594: A set of clients are seeking car loan financial advice. They are able to make monthly payments of $350 on a 6-year car loan. You know that the car dealership is able to offer them an annual interest rate of 4%. How large of a loan can they get? \n" ); document.write( "
Algebra.Com's Answer #849633 by ikleyn(52788)\"\" \"About 
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\n" ); document.write( "A set of clients are seeking car loan financial advice. They are able to make monthly payments of $350
\n" ); document.write( "on a 6-year car loan. You know that the car dealership is able to offer them an annual interest rate of 4%.
\n" ); document.write( "How large of a loan can they get?
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document.write( "Use the formula for the monthly payment for a loan\r\n" );
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document.write( "    M = \"L%2A%28r%2F%281-%281%2Br%29%5E%28-n%29%29%29\"\r\n" );
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document.write( "where L is the loan amount; r = \"0.04%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( "From this formula, the expression for the maximum loan is\r\n" );
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document.write( "    L = \"M%2F%28%28r%2F%281-%281%2Br%29%5E%28-n%29%29%29%29\".\r\n" );
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document.write( "In this problem  M = $350;  r = \"0.04%2F12\",  n = 6*12 = 72 monthly payments.\r\n" );
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document.write( "Substitute these values into the formula and get for the maximum loan amount\r\n" );
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document.write( "    L = \"350%2F%28%28%280.04%2F12%29%2F%281-%281%2B0.04%2F12%29%5E%28-72%29%29%29%29\" = $22,371.11  (rounded to the closest greater cent).\r\n" );
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document.write( "ANSWER.  The maximum loan amount is $22,371.11.\r\n" );
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