-0.03t The function f(t) = 9000 e represents the rate of flow of money in dollars per year. Assume a 5-year period at 5% compounded continuously. Find (a) the present value, and (b) the accumulated amount of money flow at T = 5. (a) Set up the integral used to find the present value. Select the correct choice below and fill in any answer boxes within your choice. .03t *A. P= √ (9000 e -·03ª) e ¯ (.05) ₁ 0.05. OB. P= e √ O) c `O ¹a The present value is $ 37088.99 (Do not round until the final answer. Then round to the nearest cent as needed.) (b) Set up the integral used to find the accumulated amount of money flow at T = 5. Select the correct choice below and fill in any answer boxes within your choice. 50

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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
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-0.03t
The function f(t) = 9000 e represents the rate of flow of money in dollars per year. Assume a 5-year period at 5% compounded continuously. Find (a) the
present value, and (b) the accumulated amount of money flow at T = 5.
C
(a) Set up the integral used to find the present value. Select the correct choice below and fill in any answer boxes within your choice.
- (.05) ¹ dt
A. P=
.03t
S (9000 e
0
0.05.
OB. P= e
[ ( e-(0)¹dt
The present value is $37088.99
(Do not round until the final answer. Then round to the nearest cent as needed.)
(b) Set up the integral used to find the accumulated amount of money flow at T = 5. Select the correct choice below and fill in any answer boxes within your choice.
OA.Pz
De
0
0.05.5
B. p=e
-(.05) t
9000 e
-.03t
dt
The accumulated amount of money flow at T = 5 is $
(Do not round until the final answer. Then round to the nearest cent as needed.)
Transcribed Image Text:-0.03t The function f(t) = 9000 e represents the rate of flow of money in dollars per year. Assume a 5-year period at 5% compounded continuously. Find (a) the present value, and (b) the accumulated amount of money flow at T = 5. C (a) Set up the integral used to find the present value. Select the correct choice below and fill in any answer boxes within your choice. - (.05) ¹ dt A. P= .03t S (9000 e 0 0.05. OB. P= e [ ( e-(0)¹dt The present value is $37088.99 (Do not round until the final answer. Then round to the nearest cent as needed.) (b) Set up the integral used to find the accumulated amount of money flow at T = 5. Select the correct choice below and fill in any answer boxes within your choice. OA.Pz De 0 0.05.5 B. p=e -(.05) t 9000 e -.03t dt The accumulated amount of money flow at T = 5 is $ (Do not round until the final answer. Then round to the nearest cent as needed.)
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