To make your business messages more effective, revise for vigor and directness. you can strengthen your writing by unburying verbs, controlling exuberance, and choosing precise words.

which of the sentences contain buried verbs? check all that apply.

(a) assume lisa received the e-mail.
(b) act on the recommendations in the customer satisfaction report.
(c) perform an analysis of last month’s sales trends.
(d) the new filing system should create an increase in efficiency.

Stock a has a beta of 1.2 and a standard deviation of 20%. stock b has a beta of 0.8 and a standard deviation of 25%. portfolio p has $200,000 consisting of $100,000 invested in stock a and $100,000 in stock b. which of the following statements is correct? (assume that the stocks are in equilibrium.) (a) stock b has a higher required rate of return than stock a. (b) portfolio p has a standard deviation of 22.5%. (c) portfolio p has a beta equal to 1.0. (d) more information is needed to determine the portfolio's beta. (e) stock a's returns are less highly correlated with the returns on most other stocks than are b's returns.

A4-year project has an annual operating cash flow of $59,000. at the beginning of the project, $5,000 in net working capital was required, which will be recovered at the end of the project. the firm also spent $23,900 on equipment to start the project. this equipment will have a book value of $5,260 at the end of the project, but can be sold for $6,120. the tax rate is 35 percent. what is the year 4 cash flow?

Afirm plans to begin production of a new small appliance. the manager must decide whether to purchase the motors for the appliance from a vendor at $10 each or to produce them in-house. either of two processes could be used for in-house production; process a would have an annual fixed cost of $200,000 and a variable cost of $7 per unit, and process b would have an annual fixed cost of $175,000 and a variable cost of $8 per unit. determine the range of annual volume for which each of the alternatives would be best. (round your first answer to the nearest whole number. include the indifference value itself in this answer.)