10. A steel cable with a total length of 45 m and mass of 135 kg is connected to two poles.The tension force on the cable is 3300 N. If the wind makes the cable resonate with a frequency of 4.5 Hz, what is the wavelength of the resulting wave transmitted down the length of the cable? (20 points)

2. Plan stamping is best defined as The legal action of signing off on a project you didn’t design but are taking fullresponsibility for The legal action of signing off on a project you didn’t design or check but didn't acceptmoney for. The illegal acting of signing off on a project you didn't design but did check. The illegal action of signing off on a project you didn't design or check.

7-2 YIELD TO MATURITY AND FUTURE PRICE A bond has a $1,000 per value, 12 years ln maturity, and an 8% annual coupon and sells for $980. a. What is its yield la maturity (YTM)? b. Assume that the yield to maturity remains Constant for the next three years What will the price be 3 years from today?

(1) Numerical Problem 5, Chapter 3, page 101 for 8th edition, pages 104 for 9th edition, page 108 for the 10th edition.Consider an economy in which the marginal product of labor MPN is MPN = 309 – 2N, where N is the amount of labor used. The amount of labor supplied, NS, is given by NS = 22 + 12w + 27,where w is the real wage and T is a lump-sum tax levied on individuals. a. Use the concepts of income effect and substitution effect to explain why an increase in lump-sum taxes will increase the amount of labor supplied. b. Suppose that T = 35. What are the equilibrium values of employment and the real wage? c. With T remaining equal to 35, the government passes minimum-wage legislation that requires firms to pay a real wage greater than or equal to 7. What are the resulting values of employment and the real wage? Note: In the 8th, 10th editions, the MPN is MPN = 309 – 2N while in the 9th edition, the MPN is MPN = 3095 – 2N. I will treat either expression as correct when I mark your homework.However, I believe that the expression in the 8th edition makes more sense given the rest of the problem. (2) Numerical Problem 7, Chapter 4, pages 148-149 for 8th edition, pages 152 for 9th edition, page 156 for the 10th edition.Suppose that the economy wide expected future marginal product of capital is M PKf = 20–0.02K,where K is the future capital stock. The depreciation rate of capital, d, is 20% per period. The current capital stock is 900 units of capital. The price of a unit of capital is 1 unit of output.Firms pay taxes equal to 15% of their output. The consumption function in the economy is C =100+0.5Y – 200r, where C is consumption, Y is output, and r is the real interest rate. Government purchases equal 200, and full-employment output is 1000. a. Suppose that the real interest rate is 10% per period. What are the values of the tax-adjusted user cost of capital, the desired future capital stock, and the desired level of investment? b. Now consider the real interest rate determined by goods market equilibrium. This part of the problem will guide you to this interest rate. i. Write the tax-adjusted user cost of capital as a function of the real interest rate r. Also write the desired future capital stock and desired investment as functions of r. ii. Use the investment function derived in Part (i) along with the consumption function and government purchases, to calculate the real interest rate that clears the goods market.What are the goods market-clearing values of consumption, saving, and investment? What are the tax-adjusted user cost of capital and the desired capital stock in this equilibrium?

2- 15 A privately owned summer camp for youngsters has the following data for a 12-week session: (a) Develop the mathematical relationships for total cost and total revenue. (b) What is the total number of campers that will allow the camp to just break even? (c) What is the profit or loss for the 12-week session if the camp operates at 80% capacity? (d) What are marginal and average costs per camper at 80% capacity? (e) Would it be ethical to charge campers different rates depending on their family's socioeconomic status?Identify and describe two points pro and two points con for such a policy.

stock has a required return of 9%, the risk-free rate is 4.5%, and the market risk premium is 3%. a. What is the stock's beta? b. If the market risk premium increased to 5%, what would happen to the stock's required rate of return? Assume that the risk-free rate and the beta remain unchanged.

Assume that you are the portfolio manager of the SF Fund, a $3 million hedge fund that contains the following stocks. The required rate of return on the market is 11.00% and the risk-free rate is5.00%. What rate of return should investors expect (and require) on this fund? (Hint: first calculate the weights, then calculate the beta of the portfolio and then calculate the required return of the portfolio.) Show your work.

2-76 Bonka Toys is considering a robot that will cost$75,000 to buy. After 5 years its salvage value will be $18,000. An overhaul costing $10,000 will be needed in Year 3. O&M costs will be $2000 per year. Draw the cash flow diagram.

A broadband service company borrowed $2 million for new equipment and repaid the principal of the loan plus $275,000 interest after 1 year. What was the interest rate on the loan?

05.01-PR001 WP Carlisle Company has been cited and must invest in equipment to reduce stack emissions or face EPA fines of $18,500 per year.An emission reduction filter will cost $75,000 and have an expected life of 5 years. Carlisle's MARR is 10%/year. a. What is the annual worth of this investment? b. What is the decision rule for judging the attractiveness of investments based on annual worth? c. Is the filter economically justified?

3) A local machine shop buys hex nuts and molly screws from the same supplier. The hex nuts cost 18 cents each and the molly screws cost 40 cents each. A setup cost of $100 is assumed for all orders. This includes the cost of tracking and receiving the orders. Holding costs are based on a 25 percent annual interest rate. The shop uses an average of 20,000 hex nuts and 14,000 molly screws annually. a) Determine the optimal size of the orders of hex nuts and molly screws, and the optimal time between placements of orders of these two items. b) If both items are ordered and received simultaneously, the setup cost of $100 applies to the combined order. Compare the average annual cost of holding and setup if these items are ordered separately; if they are both ordered when the hex nuts would normally be ordered; and if they are both ordered when the molly screws would normally be ordered.