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10 February, 09:31

Barry and Iris Allen want to save money for their children. They deposit $2500 each year

for 20 years in a savings account paying 5% compounded annually.

a. How much would be in the account after 20 years?

b. How much of the final balance did they actually contribute?

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Answers (1)
  1. 10 February, 10:34
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    A). The amount in 20 years

    =$ 13574.45

    B).36.83%

    Step-by-step explanation:

    A)

    The both deposit the sum of $2500 each year that is the sum total of $5000.

    Rate = 5 %

    Years = 20

    Then compounded annually so number of times = 20

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

    = 5000 (1 + (0.05/20)) ^ (20*20)

    = 5000 (1+0.0025) ^ (400)

    = 5000 (1.0025) ^ (400)

    = 5000 (2.71489)

    = 13574.45

    The amount in 20 years = $ 13574.45

    B) let's calculate the percentage of the actual balance they contributed.

    = 5000/13574.45

    = 0.3683333

    = 36.83%
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