Tutorial Exercise A large corporation starts at time t = 0 to invest part of its receipts at a rate of P dollars per year in a fund for the future corporate expansion. The fund earns r percent interest per year compounded continuously. The rate of growth of the amount A in the fund is given by dA = rA + P dt where A = 0 when t = 0. The solution to this equation is the following. A(t) = (ert - 1) Use the result to find t if the corporation needs $1,050,000 and it can invest $175,000 per year in a fund earning 7% interest compounded continuously. Step 1 Substitute the values of A = $1,050,000, r= 7%, and P = $175,000 years in the equation =(ert - 1). (Round your answers to two decimal places.) Therefore, 175,000 1,050,000 = 1,050,000 t 175,000 Submit Skip (you cannot come back)
Tutorial Exercise A large corporation starts at time t = 0 to invest part of its receipts at a rate of P dollars per year in a fund for the future corporate expansion. The fund earns r percent interest per year compounded continuously. The rate of growth of the amount A in the fund is given by dA = rA + P dt where A = 0 when t = 0. The solution to this equation is the following. A(t) = (ert - 1) Use the result to find t if the corporation needs $1,050,000 and it can invest $175,000 per year in a fund earning 7% interest compounded continuously. Step 1 Substitute the values of A = $1,050,000, r= 7%, and P = $175,000 years in the equation =(ert - 1). (Round your answers to two decimal places.) Therefore, 175,000 1,050,000 = 1,050,000 t 175,000 Submit Skip (you cannot come back)
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.
Chapter4: Calculating The Derivative
Section4.EA: Extended Application Managing Renewable Resources
Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...
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Transcribed Image Text:Tutorial Exercise
A large corporation starts at time t = 0 to invest part of its receipts at a rate of P dollars per year in a fund
for the future corporate expansion. The fund earns r percent interest per year compounded continuously. The
rate of growth of the amount A in the fund is given by
dA
= rA + P
dt
where A = 0 when t = 0. The solution to this equation is the following.
A(t) = (ert - 1)
Use the result to find t if the corporation needs $1,050,000 and it can invest $175,000 per year in a fund
earning 7% interest compounded continuously.
Step 1
Substitute the values of A = $1,050,000, r= 7%, and P = $175,000 years in the equation
= (ert - 1). (Round your answers to two decimal places.)
Therefore,
175,000
1,050,000
1,050,000
175,000
- 1
- 1
Submit | Skip (you cannot come back)
||
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