9) Suppose that t years from now, one investment willbe generating profit at the rate of P 1 ? = 40 + t 2 hundreddollars per year, while a second investment will be generatingprofit at the rate of P 2 ? ( t ) = 100 + 4 t hundred dollars peryear. For how many years does the rate of profitability of thesecond investment exceed that of the first? Compute the total netexcess profit for the time period.