document.write( "Question 1201176: If $4000 is borrowed at a rate of 5.75% interest per year, compounded quarterly, find the amount due at the end of the given number of years. (Round your answers to the nearest cent.)\r
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document.write( "4 years:\r
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document.write( "6 years:\r
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document.write( "8 years: \n" );
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Algebra.Com's Answer #835442 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 5.75% per year compounded quarterly = 1.4375% per quarter. \n" ); document.write( "growth factor per quarter = that / 100 + 1 = 1.014375. \n" ); document.write( "present value is 4000. \n" ); document.write( "future value in 4 years = 4000 * 1.04375 ^ 16 = 5026.1632 \n" ); document.write( "future value in 6 years = 4000 * 1.04375 ^ 24 = 5634.104312 \n" ); document.write( "future value in 8 years = 4000 * 1.04375 ^ 32 = 6315.579128 \n" ); document.write( "the equation can be graphed as shown below: \n" ); document.write( " ![]() \n" ); document.write( "time periods are in quarters of a year. \n" ); document.write( "numberof years has to be multipled by 4. \n" ); document.write( "interest rate per year needs to be divided by 4. \n" ); document.write( " \n" ); document.write( " |