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18 November, 00:56

Question 5 Unsaved

An amount of $1000 is deposited into a bank account that pays 4% interest compounded quarterly. If there are no other withdrawals or deposits, what will be the balance of the account after 3 years?

Question 5 options:

1000

1125

1127

1400

+5
Answers (1)
  1. 18 November, 00:57
    0
    We can use the compound interest formula

    F=P (1+i) ^n

    where

    F=Future value of investment to be found

    P=present value of investment ($1000)

    i=interest per period (1/4 year) = 0.04/4=0.01

    n=number of periods (3 years * 4 quarters = 12)

    Substitute or "Plug in" values, so to speak,

    F=1000 * (1+0.01) ^12

    use a calculator to do the sum

    =1126.83 (to the nearest cent, and use the proper rounding rules)
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