document.write( "Question 852917: could somebody help me figure out how to do this problem?\r
\n" ); document.write( "\n" ); document.write( "\"You want to be able to withdraw $40,000 from your account each year for 20 years after you retire. \r
\n" ); document.write( "\n" ); document.write( "You expect to retire in 15 years. \r
\n" ); document.write( "\n" ); document.write( "If your account earns 4% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?\"
\n" ); document.write( "

Algebra.Com's Answer #513791 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
you expect to withdraw $40,000 for 20 years = $800,000
\n" ); document.write( "we can use the future value calculation for an annuity\r
\n" ); document.write( "\n" ); document.write( "FV = C * [ ((1+i)^n - 1) / i) ]\r
\n" ); document.write( "\n" ); document.write( "C = cash flow per period, FV is the $800,000, i = interest and n is time\r
\n" ); document.write( "\n" ); document.write( "800000 = C * [ ((1+ .04)^15 - 1) / .04 ]
\n" ); document.write( "800000 = C * 20.02
\n" ); document.write( "C = 800000 / 20.02
\n" ); document.write( "C = 39960.03\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );