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22 May, 05:29

Lateisha shaw deposits $12000 for 8 years in an account paying 5% compounded quarterly. She then leaves the money alone, with no further deposits, at 6% compounded annually for an additional 6 years. Approximate the total amount on deposit after the entire 14-year period.

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  1. 22 May, 07:13
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    The formula is

    A=p (1+r/k) ^kt

    A future value?

    P present value 12000

    R interest rate

    T time

    K compounding periods

    The future value of 8 years in an account paying 5% compounded quarterly

    A=12,000 * (1+0.05:4) ^ (4*8)

    A=17,857.566103137 use it as a present value for the second period

    at 6% compounded annually for an additional 6 years.

    A=17,857.566103137 * (1+0.06) ^ (6)

    A=25,331.30 ... answer
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