Select the angle that correctly completes the law of cosines for this triangle. 62°

17

82 +172 – 2(8) (17)cos __ = 152

90°

15

A. 28°

B. 62

C. 180°

D. 90

4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms.a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.

Which of the following is an effective strategy when interest rates are falling? a. use long-term loans to take advantage of current low rates. b. use short-term loans to take advantage of lower rates when you refinance a loan. c. deposit to a short-term savings instrumentals to take advantage of higher interest rates when they mature. d.select short-term savings instruments to lock in earnings at a current high rates.

The returns on the common stock of maynard cosmetic specialties are quite cyclical. in a boom economy, the stock is expected to return 22 percent in comparison to 9 percent in a normal economy and a negative 14 percent in a recessionary period. the probability of a recession is 35 percent while the probability of a boom is 10 percent. what is the standard deviation of the returns on this stock?