Suppose you toss a coin and will win $9 if it comes up heads. If it comes up tails, you toss again. This time you will receive $18 if it comes up heads. If it comes up tails, toss again. This time you will receive $36 if it is heads and nothing if it comes up tails. What is the mathematical expectation for this game?

Qwest airlines has implemented a program to recycle all plastic drink cups used on their aircraft. their goal is to generate $7 million by the end of the recycle program's five-year life. each recycled cup can be sold for $0.005 (1/2 cent). a. how many cups must be recycled annually to meet this goal? assume uniform annual plastic cup usage and a 0% interest rate. b. repeat part (a) when the annual interest rate is 12%. c. why is the answer to part (b) less than the answer to part (a)?