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21 July, 04:33

Dash puts $4125 into an account using compounded continuously. If he keeps the

money in the account for 5 years and now has a total of $4193.89. What is the

interest rate?

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Answers (1)
  1. 21 July, 05:48
    0
    0.33%

    Step-by-step explanation:

    The account value when principal P is compounded continuously at annual rate r for t years is given by ...

    A = Pe^ (rt)

    For the given values, we can solve for r:

    4193.89 = 4125e^ (r·5)

    We can divide by 4125, take the natural log, then divide by the coefficient of r to find the value of r:

    ln (4193.89/4125) / 5 = r ≈ 0.33%

    The interest rate is about 0.33%.
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