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28 October, 07:39

If you deposit $4500 into an account paying 7% annual interest compounded semi anualy, how much money will be in the account after 9 years?

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  1. 28 October, 11:08
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    Answer: $8359 will be in the account after 9 years.

    Step-by-step explanation:

    We would apply the formula for determining compound interest which is expressed as

    A = P (1+r/n) ^nt

    Where

    A = total amount in the account at the end of t years

    r represents the interest rate.

    n represents the periodic interval at which it was compounded.

    P represents the principal or initial amount deposited

    From the information given,

    P = 4500

    r = 7% = 7/100 = 0.07

    n = 2 because it was compounded 2 times in a year.

    t = 9 years

    Therefore,

    A = 4500 (1+0.07/2) ^2 * 9

    A = 4500 (1+0.035) ^18

    A = 4500 (1.035) ^18

    A = $8359
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