e) If 1.5 thousand gallons are in stock at the beginning of the week and no new supply is due in during the week, how much of the 1.5 thousand gallons is expected to be left at the end of the week [Hint: Let amount left when demand is

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

Costco wholesale corporation operates membership warehouses selling food, appliances, consumer electronics, apparel and other household goods at 471 locations across the u. s. as well as in canada, mexico and puerto rico. as of its fiscal year-end 2005, costco had approximately 21.2 million members. selected fiscal-year information from the company's balance sheets follows. ($ millions). selected balance sheet data 2005 2004 merchandise inventories $4,015 $3,644 deferred membership income (liability) 501 454 (a) during fiscal 2005, costco collected $1,120 cash for membership fees. use the financial statement effectstemplate to record the cash collected for membership fees. (b) in 2005, costco recorded $46,347 million in merchandise costs (that is, cost of goods sold). record thistransaction in the financial statement effects template. (c) determine the value of merchandise that costco purchased during fiscal-year 2005. use the financial statementeffects template to record these merchandise purchases. assume all of costco's purchases are on credit.

You wish to retire in 13 years, at which time you want to have accumulated enough money to receive an annual annuity of $23,000 for 18 years after retirement. during the period before retirement you can earn 9 percent annually, while after retirement you can earn 11 percent on your money. what annual contributions to the retirement fund will allow you to receive the $23,000 annuity? use appendix c and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods.