Big points

last year tammy had $4,500 to invest in two savings accounts. one account earns 7% simple annual interest, and the other account earns 6% simple annual interest. at the end of the year, tammy had earned a total of $290 in interest from the two savings accounts.
part a write a system of two equations that could be used to find the amount of money invested in each account. let x represent the amount invested at 7%, and let y represent the amount invested at 6%.
part b solve the system of equations. how much did tammy have invested at each rate?

Given: △abc, ab=15, bd=9 ad ⊥ bc , m∠c=30°. find: the perimeter of the triangle.

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.

The letters g e o r g i a are placed in a bag . if you picked a card and knew it was a vowel , what is the probability that it is an a ?