Aura currently pays $800 each month to rent her apartment. due
increasing by $50 each year. meanwhile, her monthly to
her monthly pay will only increase by $15 each year.
continue to grow linearly, will her rent ever equal her take-home
will rent be that year?
ent. due to inflation, however, her rent is
ke-home pay is $1500 and she predicts that
vear. assuming that her rent and take-home pay will
equal her take-home pay? if so, when? and how much

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x

Look at triangle wxy what is the length (in centimeters) of the side wy of the triangle?

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?