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26 March, 21:58

Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account after 10 years?

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  1. 27 March, 00:05
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    The value of this account in 10 years is given by the formula:

    FV = P * (1+r) ^t

    where FV is the future value in the account after 10 years (to be calculated)

    P is the principal invested at the beginning

    r is the interest rate and

    t is the time horizon in years

    Given, Invested Amount (P) = 20,000

    Interest rate (r) = 5.5% = 0.055

    Time horizon (t) = 10 years = 10

    Substituting the formula, FV = 20,000 * (1+0.055) ^10 = 20,000*1.055^10 = 20,000*1.708144458 = 34,162.89

    The value of this account after 10 years = $34,162.89 (Rounded to the nearest cent)
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