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10 August, 06:21

Rachel deposited $200 into an account that earns 6% interest, compound twice a year for 10 years. A=P (1 + r n) n

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  1. 10 August, 06:39
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    She will have $361.22 after 10 years

    Step-by-step explanation:

    For the formula A = P (1 + r/n) ^ (nt),

    r needs to be input as a decimal

    n is the number of times the interest is compounded annually

    t is how many years the interest compounded

    P is the initial principle

    A is the final amount of money in the account

    For this problem ...

    r = 0.06 (6% as a decimal)

    n = 2 (compounded twice a year)

    t = 10 (the money was left in for 10 years)

    P = 200 (the initial principle)

    A = final amount, we need to solve for this

    Plug these values into the equation and solve for A

    A = P (1 + r/n) ^ (nt) becomes A = 200 (1 + 0.06/2) ^ (2x10)

    which simplifies to A = 200 (1.03) ^20

    which simpifies to A = $361.22
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