SOLUTION: 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 t

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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?
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Answer by ikleyn(52884) About Me  (Show Source):
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
for the next 15 years. How much will she have in the account in 15 years, if the account
averages a 7% annual return?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

One part grows as one-time deposited account with $75,000 starting principal

    A%5B1%5D = 75000%2A%281%2B0.07%29%5E15 = 75000%2A1.07%5E15 = $206,927.37  (rounded to the closest cent).


Another part grows as the ordinary annuity with $6,000 deposited at the end of each year

    A%5B2%5D = 6000%2A%28%28%281%2B0.07%29%5E15-1%29%2F0.07%29 = $150,774.13  (rounded).


In 15 years, the total future value of the two accounts is  

    A = A%5B1%5D + A%5B2%5D = $206,927.37 + $150,774.13 = $357,701.50.    ANSWER

Solved.