document.write( "Question 1204379: Francine currently has $75,000 in her 401k account at work, and plans to contribute $6,000 each year for the next 15 years. How much will she have in the account in 15 years, if the account averages a 7% annual return?\r
\n" ); document.write( "\n" ); document.write( "$
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #840582 by ikleyn(52908)\"\" \"About 
You can put this solution on YOUR website!
Francine currently has $75,000 in her 401k account at work, and plans to contribute $6,000 each year
\n" ); document.write( "for the next 15 years. How much will she have in the account in 15 years, if the account
\n" ); document.write( "averages a 7% annual return?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "One part grows as one-time deposited account with $75,000 starting principal\r\n" );
document.write( "\r\n" );
document.write( "    \"A%5B1%5D\" = \"75000%2A%281%2B0.07%29%5E15\" = \"75000%2A1.07%5E15\" = $206,927.37  (rounded to the closest cent).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Another part grows as the ordinary annuity with $6,000 deposited at the end of each year\r\n" );
document.write( "\r\n" );
document.write( "    \"A%5B2%5D\" = \"6000%2A%28%28%281%2B0.07%29%5E15-1%29%2F0.07%29\" = $150,774.13  (rounded).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In 15 years, the total future value of the two accounts is  \r\n" );
document.write( "\r\n" );
document.write( "    A = \"A%5B1%5D\" + \"A%5B2%5D\" = $206,927.37 + $150,774.13 = $357,701.50.    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );