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15 April, 08:24

Paul has $2,400 in a savings account earning 3.4% simple interest. How much more interest would he earn in 5 years if the interest were compounded annually?

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  1. 15 April, 08:26
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    Amount using compound interest = 2400 (1 + 0.034) ^5 = 2400 (1.034) ^5 = 2400 (1.1820) = $2,836.70

    Amount using simple interest = 2400 (1 + 5 x 0.034) = 2400 (1 + 0.17) = 2400 (1.17) = $2,808

    Difference = $2,836.70 - $2,808 = $28.70

    Therefore, he will earn $28.70 more interest in 5 years if the interest were compounded annually.
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