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17 March, 09:51

Sam deposited $4400 in a savings account earning 6% compounded monthly. If she makes no other deposits or withdrawals, how much will she have in her account in two years?

Group of answer choices

$4959.50

$4928.00

$9342.76

$9328.00

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Answers (1)
  1. 17 March, 10:12
    0
    Answer: $4959.50

    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 = 4400

    r = 6% = 6/100 = 0.06

    n = 12 because it was compounded 12 times in a year.

    t = 2 years

    Therefore,

    A = 4400 (1 + 0.06/12) ^12 * 2

    A = 4400 (1+0.005) ^24

    A = 4400 (1.005) ^24

    A = 4959.5
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