document.write( "Question 1134098: ou borrow $9000 to help pay your college expenses. You agree to repay the loan at the end of 7 years at 8% interest, compounded quarterly. (Round your answers to two decimal places.)
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document.write( "(a) What is the maturity value of the loan?
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document.write( "(b) How much interest are you paying on the loan?
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Algebra.Com's Answer #751632 by Theo(13342)![]() ![]() You can put this solution on YOUR website! loan is 9,000. \n" ); document.write( "loan to be paid off at the end of 7 yers at 8% interest per year compounded quarterly.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "formula is f = p * (1 + r) ^ n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f is the future value \n" ); document.write( "p is the present value \n" ); document.write( "r is the interest rate per time period \n" ); document.write( "n is the number of time periods.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "time period is quarters. \n" ); document.write( "there are 4 quarters per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "interest rate per quarter = 8% per year / 100 = .08 per year / 4 = .02 per quarter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "number of quarters = 7 years * 4 = 28 quarters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since p = 9,000, formula becomes f = 9,000 * (1 + .02) ^ 28.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for f to get f = 15,669.21786 = 15,669.22 rounded to two decimal places.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the maturity value of the loan.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the interest paid is f - p = 15,669.21786 minus 9,000 = 6,669.21786 = 6,669.22 rounded to two decimal places. \n" ); document.write( " |