The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years a. write an exponential function for the graph.
b. use the function in part a to find the value of the boat after 9.5 years.

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.

U.s. internet advertising revenue grew at the rate of r(t) = 0.82t + 1.14 (0 ≤ t ≤ 4) billion dollars/year between 2002 (t = 0) and 2006 (t = 4). the advertising revenue in 2002 was $5.9 billion.† (a) find an expression f(t) giving the advertising revenue in year t.

Determining effects of stock splits oracle corp has had the following stock splits since its inception. effective date split amount october 12, 2000 2 for 1 january 18, 2000 2 for 1 february 26, 1999 3 for 2 august 15, 1997 3 for 2 april 16, 1996 3 for 2 february 22, 1995 3 for 2 november 8, 1993 2 for 1 june 16,1989 2 for 1 december 21, 1987 2 for 1 march 9, 1987 2 for 1 a. if the par value of oracle shares was originally $2, what would oracle corp. report as par value per share on its 2015 balance sheet? compute the revised par value after each stock split. round answers to three decimal places.