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