document.write( "Question 1032183: A DVD player can be purchased for $1500 down and $500 a month for 18 months. What is the equivalent price if the DVD player is purchased for cash? Assume that the interest rate on credit is 15% compounded monthly. \n" ); document.write( "
Algebra.Com's Answer #647033 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
Equivalent price = down payment + present value of all monthly payments.\r
\n" ); document.write( "\n" ); document.write( "Now present value of all monthly payments = \"P+=+R%28%281-%281%2Br%2Fn%29%5E%28-nt%29%29++++%2F%28r%2Fn%29%29\".\r
\n" ); document.write( "\n" ); document.write( "Here, n = 12, t = 1.5, r = 0.15, R = 500.\r
\n" ); document.write( "\n" ); document.write( "==> \"P+=+500%28%281-%281%2B0.15%2F12%29%5E%28-18%29%29+%2F%280.15%2F12%29%29+=+8014.77\".\r
\n" ); document.write( "\n" ); document.write( "==> Equivalent price = 1500 + 8014.77 = $9,514.77.
\n" ); document.write( "
\n" );