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20 February, 12:25

Dylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawals on the account for 2 years. The interest was compounded annually. Find, to the nearest cent, the balance in the account after 2 years.

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  1. 20 February, 14:26
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    The compound interest formula is A = P (1 + r/n) ^ (n*t), where,

    P is the principal / initial amount

    r is the annual rate of interest (in decimal form)

    t is the number of years the amount is deposited / borrowed

    A is the total amount of money accumulated

    n is the number of times the interest is compounded annually

    In this case, P = $600, r = 0.016, t = 2, n = 1. Substituting these values on the equation, we get the balance in the account after 2 years to be $619.35.
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