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4 May, 07:17

Alicia is investing in a savings account that pays 3.5% interest compounded weekly.

She invests $3,385 for 15 years.

How much interest has she earned after 15 years?

Round your answer to 2 decimal places!

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Answers (1)
  1. 4 May, 07:33
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    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 = $3385

    r = 3.5% = 3.5/100 = 0.035

    A year has 52 weeks.

    n = 52 because it was compounded 52 times in a year.

    t = 15 years

    Therefore,

    A = 3385 (1 + 0.035/52) ^52 * 15

    A = 3385 (1 + 0.00067) ^780

    A = 3385 (1.00067) ^780

    A = $5708.80
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