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.

Precision dyes is analyzing two machines to determine which one it should purchase. the company requires a rate of return of 15 percent and uses straight-line depreciation to a zero book value over the life of its equipment. ignore bonus depreciation. machine a has a cost of $462,000, annual aftertax cash outflows of $46,200, and a four-year life. machine b costs $898,000, has annual aftertax cash outflows of $16,500, and has a seven-year life. whichever machine is purchased will be replaced at the end of its useful life. which machine should the company purchase and how much less is that machine's eac as compared to the other machine's

(a) what was the opportunity cost of non-gm food for many buyers before 2008? (b) why did they prefer the alternative? (c) what was the opportunity cost in 2008? (d) why did it change?

Xinhong company is considering replacing one of its manufacturing machines. the machine has a book value of $39,000 and a remaining useful life of 5 years, at which time its salvage value will be zero. it has a current market value of $49,000. variable manufacturing costs are $33,300 per year for this machine. information on two alternative replacement machines follows. alternative a alternative b cost $ 115,000 $ 117,000 variable manufacturing costs per year 22,900 10,100 1. calculate the total change in net income if alternative a and b is adopted. 2. should xinhong keep or replace its manufacturing machine