Graham receives $640,000 at his retirement. he invests x in a twenty-year annuityimmediate with annual payments and the remaining $640, 000 − x is used to purchase a perpetuity-immediate with annual payments. his total annual payments received during the first twenty years are twice as large as those received thereafter. the annual effective interest rate is 5%. find x.

Alocal club is selling christmas trees and deciding how many to stock for the month of december. if demand is normally distributed with a mean of 100 and standard deviation of 20, trees have no salvage value at the end of the month, trees cost $20, and trees sell for $50 what is the service level?

Acoase solution to a problem of externality ensures that a socially efficient outcome is to

Plastic and steel are substitutes in the production of body panels for certain automobiles. if the price of plastic increases, with other things remaining the same, we would expect: a) the demand curve for plastic to shift to the left. b) the price of steel to fall. c) the demand curve for steel to shift to the left d) nothing to happen to steel because it is only a substitute for plastic. e) the demand curve for steel to shift to the right