Anna plans a business model to compete with two video stores, where she hopes to draw in customers from one store but not lose money on the deal.

movie mania charges a subscription fee of $30 and an additional $5 per movie, x. movie time charges a subscription fee of $25 and an additional $6 per movie, x.

based on this information, which system of inequalities could be used to determine how many movies need to be rented for a customer on anna’s plan, y, to pay her more than they would at movie time, but less than they would at movie mania?

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.