申論題

9. HAL Corporation invests P dollars/year (assume this is done on a frequent basis in small deposits over the year so that it is essentially continuous) into a fund earning interest at the rate of r%/year compounded continuously. Then the size of the fund A grows at a rate given by

Suppose A = 0 when t = 0. Determine the size of the fund after $t$ yr. What is the size of the fund after 5 yr if P = $50,000$ and r = 12%/year? (10 分)