Toby works in an office where employees scan a large number of documents everyday. his manager has asked him to purchase a new scanner for the office. which type of scanner should toby buy? toby should buy a scanner as it is ideal to scan a large number of documents.

If a firm plans to issue new stock, flotation costs (investment bankers' fees) should not be ignored. there are two approaches to use to account for flotation costs. the first approach is to add the sum of flotation costs for the debt, preferred, and common stock and add them to the initial investment cost. because the investment cost is increased, the project's expected return is reduced so it may not meet the firm's hurdle rate for acceptance of the project. the second approach involves adjusting the cost of common equity as follows: . the difference between the flotation-adjusted cost of equity and the cost of equity calculated without the flotation adjustment represents the flotation cost adjustment. quantitative problem: barton industries expects next year's annual dividend, d1, to be $1.90 and it expects dividends to grow at a constant rate g = 4.3%. the firm's current common stock price, p0, is $22.00. if it needs to issue new common stock, the firm will encounter a 6% flotation cost, f. assume that the cost of equity calculated without the flotation adjustment is 12% and the cost of old common equity is 11.5%. what is the flotation cost adjustment that must be added to its cost of retaine

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.

Two assets have the following expected returns and standard deviations when the risk-free rate is 5%: asset a e(ra) = 18.5% σa = 20% asset b e(rb) = 15% σb = 27% an investor with a risk aversion of a = 3 would find that on a risk-return basis. a. only asset a is acceptable b. only asset b is acceptable c. neither asset a nor asset b is acceptable d. both asset a and asset b are acceptable