1. Savanna is working part time at a local snack bar. She mostly sells peanuts and cashew nuts on Mondays. Savannah sells both peanuts and cashews nuts by the pound. Peanuts are $3.00 per
pound and cashew nuts are $5.00 per pound. This past Monday, she sold $81.00 worth of
peanuts and cashews and a total of 21 items sold. How many pounds of peanuts were sold and
how many pounds of cashews were sold?

Barbara deposited $300 in the bank. if the bank pays her simple interest at the rate of 4 percent per year, how much money will she have in her account at the end of 9 months?

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in a.p.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?