document.write( "Question 1140162: Find the interest rate of an account that has $12500 that will give $450.00 interest in 72 months \n" ); document.write( "
Algebra.Com's Answer #760661 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 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 (per month in this problem) \n" ); document.write( "n is the number of time periods (number of months in this problem)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the present value in this problem is equal to 12500. \n" ); document.write( "the future value in this problem is equal to 12500 + 450 = 12950. \n" ); document.write( "n is equal to 72. \n" ); document.write( "r is what you want to find.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12950 = 12500 * (1 + r) ^ 72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 12500 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12950 / 12500 = (1 + r) ^ 72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take the seventy second root of both sides of this equation and subtract 1 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(12950 / 12500) ^ (1/72 - 1 = r\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for r to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = .0004913309946\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the interest rate per month.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply that by 12 to get an annual interest rate of .005895971935.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's equal to .5895971935%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's a little less than 6 tenths of a percent per year.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |