The future value of $1500 after t years invested at 8% compounded continuously is f(t)1500e0.08t dollars. e0.08 and use the rule for f(x) = b*.) (a) Write the rate-of-change function for the value of the investment. (Hint: Let b dollars per year f'(t) = (b) Calculate the rate of change of the value of the investment after 14 years. (Round your answer to three decimal places.) dollars per year f'(14)

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