Suppose an individual wants to have exactly $300,000 available for her child's education. (a) Find the amount that would have to be invested at 13% compounded continuously, if the number of years until college is 8 years. (Round your answer to the nearest cent.)
(b) Find the amount that would have to be invested at 13% compounded continuously, if the number of years until college is 16 years. (Round your answer to the nearest cent.)
(c) Does leaving the money invested twice as long mean that half as much is needed initially? Explain.
Yes, at the given rate and amounts of time, investing half the amount for twice as long will result in an amount equal to the stated goal.
No, at the given rate and amounts of time, investing half the amount for twice as long will result in an amount greater than the stated goal.
No, at the given rate and amounts of time, investing half the amount for twice as long will result in an amount less than the stated goal.

Suppose the marginal damage and marginal benefit curves in a polluted neighborhood are md = p/3 and mb = 4 – p. also, suppose that transactions costs are low, so that the consumers and the firm can bargain. we saw that in this case, the socially-optimal level of pollution is achieved. start by computing the socially-optimal p. then, for each of the following cases, compute the amount of money transferred through the bargaining process, and indicate who pays whom (i.e., whether consumers pay the firm, or vice versa). also, compute the gains to each party relative to the status quo (i.e., the starting point of the bargaining process).a)consumers have the right to clean air; firm is dominant in the bargaining process.b)consumers have the right to clean air; consumers are dominant in the bargaining process.c)firm has the right to pollute; firm is dominant in the bargaining process.d)firm has the right to pollute; consumers are dominant in the bargaining proces