It is known that for each positive integer k, the amount of interest earned by an investor in the k-th period is 2k. find the amount of interest earned by the investor from time 0 to time n, n a fixed positive integer.

Alpha industries is considering a project with an initial cost of $8 million. the project will produce cash inflows of $1.49 million per year for 8 years. the project has the same risk as the firm. the firm has a pretax cost of debt of 5.61 percent and a cost of equity of 11.27 percent. the debt–equity ratio is .60 and the tax rate is 35 percent. what is the net present value of the project?

Over the past year, three of the star salesmen at family resorts international's corporate office have been lured away to competitors. on top of that, karina, the general manager of the sales department, has noticed that most employees come in, do their jobs, and leave. family resorts offers a good salary, benefits, and tuition reimbursement, as well as a number of development and training programs. most employees seem contented enough, but karina would like to do something to increase the level of engagement among her staff. what do you think karina should do?

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?