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31 July, 20:58

Skylar plans to use $3400 to open a savings account with an annual interest rate of 1.15%. How much more interest will he earn over 13 years if he chooses a compound interest account that compounds interest quarterly instead annually? Round your answer to the nearest cent.

interest compounded annually: A = P (1 + r) t

interest compounded quarterly: A = P (1 + fraction numerator r over denominator 4 end fraction) 4t

$

+5
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  1. 31 July, 21:49
    0
    Substitute the given values into the given equations, then evaluate the difference between the results.

    Compounded annually, Skylar's balance after 13 years is

    A = 3400 (1 +.0115) ^13 = 3944.90

    Compounded quarterly, Skylar's balance after 13 years is

    A = 3400 (1 +.0115/4) ^52 ≈ 3947.42

    Using the account where interest is compounded quarterly, Skylar earns additional interest of

    $3947.42 - 3944.90 = $2.52
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