John begins a retirement program by investing monthly amounts of $185 from his pay and placing it in an account guaranteed to earn 6% interest. (This means the effective monthly rate is 0.5%.) Deposits will be taken from his check at the end of each month, beginning in one month for 42 consecutive years, the time when John expects to retire. Which of the following amounts comes closest to the balance in the account at the time of his retirement?a. $413,000b. $420,000c. $436,000d. $340,000e. $390,000

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

Haley photocopying purchases a paper from an out-of-state vendor. average weekly demand for paper is 150 cartons per week for which haley pays $15 per carton. in bound shipments from the vendor average 1000 cartoons with an average lead time of 3 weeks. haley operates 52 weeks per year; it carries a 4-week supply of inventory as safety stock and no anticipation inventory. the vendor has recently announced that they will be building a faculty near haley photocopying that will reduce lead time to one week. further, they will be able to reduce shipments to 200 cartons. haley believes that they will be able to reduce safety stock to a 1-week supply. what impact will these changes make to haley’s average inventory level and its average aggregated inventory value?

Match each definition in column 1 with a vocabulary word from column 2." some of the entries in column 2 do not apply costs which do not change with the level of output costs which change with the level of output the change in total costs resulting from an increase in output by one unit function showing the quantities of a particular good demanded at a range of price when the quantity supplied of a good is greater than the quantity demanded when the quantity demanded for a particular good is greater than the quantity supplied the price and quantity determined in a market when the supply equals the demand when revenue exceeds costs when costs exceeds revenue output where revenue = costs