1. a state lottery has a daily drawing to form a four-digit number. the digits 1 through 9 are randomly selected for each of the four digits. for each selection any one of the digits 1 through 9 are possible. what is the probability to the nearest hundredth of the four-digit number having at least one 3?

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

Six years ago, an 80-kw diesel electric set cost $160,000. the cost index for this class of equipment six years ago was 187 and is now 194. the cost-capacity factor is 0.6. the plant engineering staff is considering a 120-kw unit of the same general design to power a small isolated plant. assume we want to add a precompressor, which (when isolated and estimated separately) currently costs $13291. determine the total cost of the 120-kw unit. (hint: skip $ and comma symbols)

Owns a machine that can produce two specialized products. production time for product tlx is two units per hour and for product mtv is four units per hour. the machine’s capacity is 2,100 hours per year. both products are sold to a single customer who has agreed to buy all of the company’s output up to a maximum of 3,570 units of product tlx and 1,610 units of product mtv. selling prices and variable costs per unit to produce the products follow. product tlx product mtv selling price per unit $ 11.50 $ 6.90 variable costs per unit 3.45 4.14 determine the company's most profitable sales mix and the contribution margin that results from that sales mix.