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13 August, 16:07

Taylor plans to use $2100 to open a savings account with an annual interest rate of 1.85%. How much more interest will he earn over 8 years if he chooses a compound interest account that compounds interest annually instead of a simple interest account? Round your answer to the nearest cent.

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  1. 13 August, 16:23
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    Taylor will earn $21 more in compounded interest than in simple interest.

    Given:

    Principal = 2100

    interest rate = 1.85%

    term = 8 years

    Simple Interest = Principal * interest rate * term

    = 2100 * 1.85% * 8

    = 310.80

    Compounded Interest = Principal * (1+r) ^t

    = 2100 * 1.0185⁸

    = 2100 * 1.158

    = 2431.80

    Interest from Compounded Interest : 2431.80 - 2100 = 331.80

    Simple Interest = 310.80

    Compounded Interest = 331.80

    331.80 - 310.80 = 21
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