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23 June, 17:58

Angela invest $2550 at 3% interest rate compounded annually. What will the balance in the account be after 1.5 years?

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  1. 23 June, 19:35
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    The formula for compound interest is as follows:

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

    A is the total money, P is the initial amount, r is the annual interest rate, n is the number of times a year the interest is compounded, and t is the years for which the money is invested.

    Let's plug in your numbers.

    A = 2550 + (1 + 1.03/1) ^ (1*1.5)

    Simplify what's in the p arentheses.

    A = (2550) + (2.03) ^ (1.5)

    Now take 2.03 to the power of 1.5.

    A = (2550) + 2.89230479

    Add.

    A = 2552.8923

    Which comes to roughly $2552.89.
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