Twins graduate from college together and start their careers. Twin 1 invests $1500 at the end of each year for 10 years only (until age 33) in an account that earns 7%, compounded annually. Suppose that twin 2 waits until turning 40 to begin investing. How much must twin 2 put aside at the end of each year for the next 25 years in an account that earns 7% compounded annually in order to have the same amount as twin 1 at the end of these 25 years (when they turn 65)

Which of the following statements is true regarding the definition of a fund? a fund is a fiscal entity which is designed to provide reporting that demonstrates conformance with finance-related legal and contractual provisions separately from gaap reporting. a fund exists to assist in carrying on activities and attaining objectives where there are no specific rules or restrictions. a fund is an accounting entity which is designed to enable reporting in conformity with gaap without being restricted by legal or contractual provisions. a fund is a mechanism developed to provide accounting for revenues and expenditures that are subject to certain restrictions separate from revenues and expenditures that are not subject to restrictions.

Ardmore farm and seed has an inventory dilemma. they have been selling a brand of very popular insect spray for the past year. they have never really analyzed the costs incurred from ordering and holding the inventory and currently fave a large stock of the insecticide in the warehouse. they estimate that it costs $25 to place an order, and it costs $0.25 per gallon to hold the spray. the annual requirements total 80,000 gallons for a 365 day year.a. assuming that 10,000 gallons are ordered each time an order is placed, estimate the annual inventory costs.b. calculate the eoq.c. given the eoq calculated in part b., how many orders should be placed and what is the average inventory balance? d. if it takes seven days to receive an order from suppliers, at what inventory level should ardmore place another order?

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.