document.write( "Question 1034183: You invest $20,000 in a retirement plan. The plan is expected to have an annual return of 12%. Write a rule for the amount of money available at the beginning of the nth year. What is the balance of the account at the beginning of the 20th year? \n" ); document.write( "
Algebra.Com's Answer #649057 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( "with annual compounding (1 compounding period per year), r = .12 \n" ); document.write( "with p = 20,000, the formula becomes f = 20,000 * 1.12^n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "at the beginning of the 20th year, the amount in the account will be f = 20,000 * 1.12^20 = 192,925.8619\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |