An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be given by the function p(x) = x3 – 4x2 + 3x – 12, where p is in hundreds of dollars and x is the number of years elapsed after the company starts operations. in how many years (x) will the company break even (no profit, no loss)?

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

The liabilities of cullumber are $99,000. owner’s capital is $143,000; drawings are $96,000; revenues, $467,000; and expenses, $301,000. what is the amount of cullumber company’s total assists?

Suppose that the function f is defined. , for all real numbers, as follows. _ \ 1/4x² -4 if x≠ -2 f(x)=< /_-1 if x=-2 find f(-5), f(-2), and f(4)