I am having such trouble with these type of problems. Can anyone or someone help me out on this problem. The problem is as followsCrying)

Let's say that a company's profitability, p(t), follows p(t) = t^2 - 5t - 50 with p(t) in units of $1k and t = fiscal months. How long in years will it take the company to be$ 100k in the black (i.e., p(t) = $1000,000)? 2. Originally Posted by tricey36 I am having such trouble with these type of problems. Can anyone or someone help me out on this problem. The problem is as followsCrying) Let's say that a company's profitability, p(t), follows p(t) = t^2 - 5t - 50 with p(t) in units of$1k and t = fiscal months. How long in years will it take the company to be $100k in the black (i.e., p(t) =$1000,000)?

we want to know when $\displaystyle p(t)=100$ that is

$\displaystyle t^2-5t-50=100 \iff t^2-5t-150=0 \iff (t-15)(t+10)=0$

So we get t=15 or t=-10 since t=-10 doesn't make sense in the context of the problem we use t=15, or it will take them 15 months.

Good luck.