Opal deducted $2,560 of state income taxes on her tax return last year. this year she received a state income tax refund of $330. what amount of the refund, if any, should opal include in her gross income if last year her total itemized deductions exceeded the standard deduction by $430?

John is a 45-year-old manager who enjoys playing basketball in his spare time with his teenage sons and their friends. at work he finds that he is better able to solve problems that come up because of his many years of experience, but while on the court, he finds he is not as good keeping track of the ball while worrying about the other players. john's experience is:

The school cafeteria can make pizza for approximately $0.30 a slice. the cost of kitchen use and cafeteria staff runs about $200 per day. the pizza den nearby will deliver whole pizzas for $9.00 each. the cafeteria staff cuts the pizza into eight slices and serves them in the usual cafeteria line. with no cooking duties, the staff can be reduced by half, for a fixed cost of $75 per day. should the school cafeteria make or buy its pizzas?

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)?