Avending machine dispensing books of stamps accepts only one dollar coins, 1 dollar bills and 5 dollar bills. a) find a recurrence relation for the number of ways to deposit n dollars in the vending machine, where the order in which the coins and bills are deposited matters. b) what are initial conditions? c) how many ways are there to deposit $10 for a book of stamps?

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends > a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

Read the scenario. alfonso is 19 years old and has a high school diploma. recently, he was promoted to assistant manager at the fast-food restaurant where he has worked since the age of sixteen. his dream is to become the restaurant’s manager. what is his best option for achieving his dream? he should find another job and work his way up to a higher position. he should hope that his manager transfers to another location and that he is his replacement. he should attend classes at the local college to receive training in management. he should work hard, work longer hours, and remain assistant manager.

The former chairman of the federal reserve, alan greenspan, used the term "irrational exuberance" in 1996 to describe the high levels of optimism among stock market investors at the time. stock market indexes such as the s& p composite price index were at an all-time high. some commentators believed that the fed should intervene to slow the expansion of the economy. why would central banks want to clamp down when the economy is growing? a. to block the formation of unsustainable speculative asset bubbles. b. to curtail excessive profits in the banking system. c. to prevent inflationary forces from gathering momentum. d. all of the above. e. a and c only.