Felicie lucas has just won the state lottery and has the following three payout options for afterminustax prize money: 1. $ 166 comma 000 per year at the end of each of the next six years 2. $ 308 comma 000 (lump sum) now 3. $ 510 comma 000 (lump sum) six years from now the annual discount rate is 9%. compute the present value of the first option

Auniversity spent $1.8 million to install solar panels atop a parking garage. these panels will have a capacity of 400 kilowatts (kw) and have a life expectancy of 20 years. suppose that the discount rate is 20%, that electricity can be purchased at $0.10 per kilowatt-hour (kwh), and that the marginal cost of electricity production using the solar panels is zero. hint: it may be easier to think of the present value of operating the solar panels for 1 hour per year first. approximately how many hours per year will the solar panels need to operate to enable this project to break even? a. a.3,696.48 b.14,785.92 c.9,241.20 if the solar panels can operate only for 8,317 hours a year at maximum, the project (would/would not)break even?

Microsoft's stock price peaked at 6118% of its ipo price more than 13 years after the ipo suppose that $10,000 invested in microsoft at its ipo price had been worth $600,000 (6000% of the ipo price) after exactly 13 years. what interest rate, compounded annually, does this represent? (round your answer to two decimal places.)

Four key marketing decision variables are price (p), advertising (a), transportation (t), and product quality (q). consumer demand (d) is influenced by these variables. the simplest model for describing demand in terms of these variables is: d = k – pp + aa + tt + qq where k, p, a, t, and q are constants. discuss the assumptions of this model. specifically, how does each variable affect demand? how do the variables influence each other? what limitations might this model have? how can it be improved?