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?

Use the radius you found in part i (r=26.8 cm) with the surface area formula below to find the surface area of the sphere. show your work and round your answer to the nearest tenth. the surface area of a sphere: sa = 4πr^2 self note: 3.8.4

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

Given the median qr and trapezoid mnpo what is the value of x?