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8 April, 19:30

Use the compound interest formula, the formula A equals P times 1 plus r over n to the n times t power. If $10,000 is invested at 2 percent quarterly for 5 years, what is the amount at the end of the term?

A $11,052

B$11,049

C $11,046

D$11,051

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Answers (1)
  1. 8 April, 22:47
    0
    Option B is the correct answer.

    Step-by-step explanation:

    Initial amount deposited into the account is $10000 This means that the principal is

    P = 10000

    It was compounded quarterly. This means that it was compounded for four times in a year. So

    n = 4

    The rate at which the principal was compounded is 2%. So

    r = 2/100 = 0.02

    It was compounded for 5 years. So

    t = 5

    The formula for compound interest is

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

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

    A = 10000 (1+0.02/4) ^4*5

    A = 10000 (1.005) ^20

    A = $11049
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