document.write( "Question 1207414: A car was purchased for $1500 down and payments of $265 at the end of each month for four years. Interest is 9% compounded quarterly.
\n" ); document.write( "(a) What was the purchase price of the car?
\n" ); document.write( "(b) How much interest will be paid?
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Algebra.Com's Answer #845386 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "(a) What was the purchase price of the car?\r
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\n" ); document.write( "\n" ); document.write( "down payment=\"1500\"
\n" ); document.write( "\"PMT=265\"
\n" ); document.write( "\"n=4+\"years=\"48+\"months\r
\n" ); document.write( "\n" ); document.write( " since the interest is compounded quarterly, the interest rate per period is
\n" ); document.write( "\"r=0.09%2F4=0.0075\"\r
\n" ); document.write( "\n" ); document.write( " the purchase price (\"PP\")of the car is future value plus down payment:\r
\n" ); document.write( "\n" ); document.write( "\"PP=FV\"+down payment\r
\n" ); document.write( "\n" ); document.write( "\"PP+=+PMT+%2A+%28+%281+%2B+r%29%5En-1%29+%2F+r+%2B1500\"\r
\n" ); document.write( "\n" ); document.write( "\"PP+=+265%2A+%28+%281+%2B+0.0075%29%5E48-1%29+%2F0.0075%2B1500\"\r
\n" ); document.write( "\n" ); document.write( "\"PP+=+15242.988%2B1500\"\r
\n" ); document.write( "\n" ); document.write( "\"PP+=+16742.99\"\r
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\n" ); document.write( "\n" ); document.write( "(b) How much interest will be paid?\r
\n" ); document.write( "\n" ); document.write( "\"FV=15242.99\"
\n" ); document.write( "the total amount paid over \"4+\"years is:
\n" ); document.write( "\"265%2A48=12720\"\r
\n" ); document.write( "\n" ); document.write( "interest paid =\"15242.99-12720=2522.99\"\r
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