Next year, we will be in a boom, bust, or normal state with 25%, 25% and 50% probabilities respectively. Apple will return 15%, -22% and 7% in each state (again respectively). a) What is the expected return for Apple next year?
b) What is the standard deviation of returns for Apple next year?

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

The uptowner just paid an annual dividend of $4.12. the company has a policy of increasing the dividend by 2.5 percent annually. you would like to purchase shares of stock in this firm but realize that you will not have the funds to do so for another four years. if you require a rate of return of 16.7 percent, how much will you be willing to pay per share when you can afford to make this investment?

Bayside coatings company purchased waterproofing equipment on january 2, 20y4, for $190,000. the equipment was expected to have a useful life of four years and a residual value of $9,000. instructions: determine the amount of depreciation expense for the years ended december 31, 20y4, 20y5, 20y6, and 20y7, by (a) the straight-line method and (b) the double-declining-balance method. also determine the total depreciation expense for the four years by each method. depreciation expense year straight-line method double-declining-balance method 20y4 $ $ 20y5 20y6 20y7 total $