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    123 Marco's Avatar
    123 Marco Posts: 2, Reputation: 1
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    #1

    Jun 11, 2012, 06:22 PM
    If $975 is invested in an account that earns annual interest of 8.5%, compounded semi
    If $975 is invested in an account that earns annual interest of 8.5%, compounded semiannually, what will the account balance be after 7 years? (Round your answer to the nearest cent.)
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    123 Marco Posts: 2, Reputation: 1
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    #2

    Jun 11, 2012, 06:24 PM
    If $975 is invested in an account that earns annual interest of 8.5%, compounded semiannually, what will the account balance be after 7 years? (Round your answer to the nearest cent.)
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    ebaines Posts: 12,131, Reputation: 1307
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    #3

    Jun 12, 2012, 05:49 AM
    Given an annual interest rate of 8.5%, that's equivalent to 4.25% being paid every 6 months (half the interest in half a year). Over 7 years there are 14 half-year periods. So use the formula for compount interest:

    FV = PV(1+i)^n

    where PV = present value = $975, I = 0.0425, and n = 14.

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