A large corporation starts at time t = 0 to invest part of its receipts continuously at
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A large corporation starts at time t = 0 to invest part of its receipts continuously at a rate of P dollars per year 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
where A = 0 when t = 0. Solve this differential equation for A as a function of t.
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