document.write( "Question 1140163: George invested $12550 for 5 years. After 5 years, he received a total amount of N$22500 from his investment. Calculate the annual rate at which interest was paid? \n" ); document.write( "
Algebra.Com's Answer #760657 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 \n" ); document.write( "n is the number of time periods\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in this problem, formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "22500 = 12550 * (1 + r) ^ 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation ty 12550 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(22500 / 12550) = (1 + r) ^ 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take the fifth root of both sides of the equation and subtract 1 from both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(22500 / 12550) ^ (1/5) - 1 = r\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for r to get r = .1238484694.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "confirm by multiplying 12550 by (1 + .1238484694) ^ 5 to get 22500.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the answer is confirmed, so the solution is that the annual interest rate is .1238484694, or 12.38484694%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |