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    neenarica's Avatar
    neenarica Posts: 2, Reputation: 1
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    #1

    Jun 19, 2007, 08:17 AM
    How old are you?
    When you were born, your parents opened an account in your name and deposited 500.00 into the account. The account has earned an average annual rate of return of 12.5%. Today, the account is valued at 79,164.13. How old are you?

    :confused:
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Jun 19, 2007, 09:08 AM
    Do you know the formula for computing compound interest? Starting with an initial principal amount P earning an annual interest rate of i%, the balance in the savings account grows by a factor of 1+i every year. Thus after the first year you have P*(1+i), after the second year P*(1+i)*(1+i), etc. After N years, you have:


    So, for this problem what you need to do is solve for N:


    Do you know how to solve that? If you know how to use logarithms it's pretty simple. Otherwise, another approach is to guess at N until you get the formula to work. Hope this helps.

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