Suppose that t years from now, one investment plan will be generating profit at

Question

Suppose that t years from now, one investment plan will be generating profit at the rate of P?1(t)=80+t^2 hundred dollars per year, while a second investment will be generating P?2(t)=179+2t hundred dollars per year.

a. For how many years does the rate of profitability of the second investment exceed that of the first?

Answer: _________

b. Compute the net excess profit, in hundreds of dollars, assuming that you invest in the second plan for the time period determined in part a.

Answer: ____________

Explanation / Answer

p'2(t)>p'1(t) 179+2t>80+t^2 t^2-2t-99

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