A large corporation starts at time t= 0 to invest part of its receipts continuously at a rate of P doll ars per ye ar in a fund for future corporate expansion. Assume that the fund earns r percent interest per year compounded continuously. So, the rate of growth of the amount A in the fund is given by dA =rA+ P. dt
A large corporation starts at time t= 0 to invest part of its receipts continuously at a rate of P doll ars per ye ar in a fund for future corporate expansion. Assume that the fund earns r percent interest per year compounded continuously. So, the rate of growth of the amount A in the fund is given by dA =rA+ P. dt
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 8RE: Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25...
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Transcribed Image Text:A large corporation starts at time t= 0 to invest part of its receipts continuously at a rate
of P doll ars per ye ar in a fund for future corporate expansion. Assume that the fund earns
r percent interest per year compounded continuously. So, the rate of growth of the amount
A in the fund is given by
dA
=rA+ P.
dt
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