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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 = $

Which of the following is an example of a production quota? a. the government sets an upper limit on the quantity that each dairy farmer can produce. b. the government sets a price floor in the market for dairy products. c. the government sets a lower limit on the quantity that each dairy farmer can produce. d. the government guarantees to buy a specified quantity of dairy products from farmers.

Which of the following is a function performed by market prices? a. market prices communicate information to buyers and sellers. b. market prices coordinate the decisions of buyers and sellers. c. market prices motivate entrepreneurs to produce those products that are currently most desired relative to their costs of production. d. all of the above are functions performed by market prices.