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The function f(t)=1400t-100t^2 represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded continuously. Find (a) the present value and (b) the accumulated amount of money flow at T=10. The present value is (Do not round until the final answer. Then round to the nearest cent as needed.) The accumulated amount of money flow at T=10 is (Do not round until the final answer. Then round to the nearest cent as needed.)

The function f(t)=1400t-100t^2 represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded continuously. Find (a) the present value and (b) the accumulated amount of money flow at T=10. The present value is (Do not round until the final answer. Then round to the nearest cent as needed.) The accumulated amount of money flow at T=10 is (Do not round until the final answer. Then round to the nearest cent as needed.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.EA: Extended Application Estimating Depletion Dates For Minerals
Problem 4EA
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The function f(t)=1400t-100t^2 represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded continuously. Find (a) the present value and (b) the accumulated amount of money flow at T=10. The present value is (Do not round until the final answer. Then round to the nearest cent as needed.) The accumulated amount of money flow at T=10 is (Do not round until the final answer. Then round to the nearest cent as needed.)
Transcribed Image Text:The function f(t)=1400t-100t^2 represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded continuously. Find (a) the present value and (b) the accumulated amount of money flow at T=10. The present value is (Do not round until the final answer. Then round to the nearest cent as needed.) The accumulated amount of money flow at T=10 is (Do not round until the final answer. Then round to the nearest cent as needed.)
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