Suppose you’re eating in yet another restaurant where the dishes are shared at the table and all placed uniformly on a rotating disk-like surface. Model this surface as a thin disk of radius 45.3 cm. Someone else has spun the surface, such that it is initially at an angular speed of 0.4 rev/s. The surface and food has a combined mass of 3.3 kg. The waiter, to show off, throws a new dish of dumplings (mass 0.8 kg) onto the surface at a speed of 0.5 m/s, such that the dish lands on and sticks to the very edge of the surface moving in the same direction as the rotating food. While this is happening, you quickly calculate the final angular speed of the food so that you can predict its location at any time before others have a chance to eat the dumplings. What is this speed, in rad/s?

Suppose you’re eating in yet another restaurant where the dishes are shared at the table and all placed uniformly on a rotating disk-like surface. Model this surface as a thin disk of radius 45.3 cm. Someone else has spun the surface, such that it is initially at an angular speed of 0.4 rev/s. The surface and food has a combined mass of 3.3 kg. The waiter, to show off, throws a new dish of dumplings (mass 0.8 kg) onto the surface at a speed of 0.5 m/s, such that the dish lands on and sticks to the very edge of the surface moving in the same direction as the rotating food. While this is happening, you quickly calculate the final angular speed of the food so that you can predict its location at any time before others have a chance to eat the dumplings. What is this speed, in rad/s?

Consider the following two investors’ portfolios consisting of investments in four stocks:
Stock Beta Jack's Portfolio Nelson's Portfolio
A 1.3 $2,500 $10,000
B 1.0 $2,500 $5,000
C 0.8 $2,500 $5,000
D -0.5 $2,500 $2,500
Portfolio Expected Return 10% 9%
(a)
Calculate the beta on portfolios of Jack and Nelson respectively.

(b) Assuming that the risk-free rate is 4% and the expected return on the
market is 12%, determine the required return on portfolios of Jack and
Nelson respectively.

(c) From your answers in part (b), explain whether portfolios of Jack and
Nelson are over-priced, under-priced or correctly priced.

(d) State and explain whether the following statement is true or false:
“If a security lies above the security market line (SML), then it must be
over-priced.” (word limit: 150 words)

1- Block 1 (mass 2.0 kg) is moving to right at speed of 5.0 m/s. It collides with block 2 (mass 3.0 kg) that is moving to the right at speed of 3.0 m/s.

a) What is the speed of the blocks if the collision is completely inelastic? How much kinetic energy is lost? (3.8 m/s, 2.4 J)

b) What is the final speed of the blocks if the collision is elastic? (v1 = 2.6 m/s, v2 = 4.6 m/s)

2 - A solid uniform sphere of mass 5.0 kg and diameter 40 cm, rolls down a hill without slipping. If the velocity of the sphere downhill is 2.0 m/s.

a) what is the height of the hill? (29 cm)

b) What is the angular momentum of the sphere downhill? (0.8 kg*m/s)

I know the answers I just need to know how to get to those answers!

Bethesda Mining is a mid-sized coal mining company with 20 mines located in Ohio, Pennsylvania, West Virginia, and Kentucky. The company operates deep mines as well as strip minds. Most of the coal mined is sold under contract, with excess production sold on the spot market.The coal mining industry, especially high-sulfur coal operations such as Bethesda, has been hard-hit by environmental regulations. Recently, however, a combination of increased demand for coal and new pollution reduction technologies has led to an improved market demand for high-sulfur coal. Bethesda has been approached by Mid-Ohio Electric Company with a request to supply coal for its electric generators for the next 4 years. Bethesda Mining does not have enough excess capacity at its existing mines to guarantee the contract. The company is considering opening a strip mine in Ohio on 5,000 acres of land purchased 10 years ago for $4 million. Based on a recent appraisal, the company feels it could receive $6.5 million on an after-tax basis if it sold the land today.Strip Mining is a process where the layers of topsoil above a coal vein are removed and the exposed coal is removed. Some time ago, the company would remove the coal and leave the land in an unusable condition. Changes in mining regulations now force a company to reclaim the land; that is, when the mining is completed, the land must be restored to near its original condition. The land can then be used for other purposes. Because it is currently operating at full capacity, Bethesda will need to purchase additional necessary equipment, which will cost $95 million. The equipment will be depreciated on a 7-year MACRS schedule. The contract runs for only 4 years. At that time the coal from the site will be entirely mined. The company feels that the equipment can be sold for 60% of its initial purchase price in four years. The contract calls for the delivery of 500,000 tons of coal per year at a price of $86 per ton. Bethesda Mining feels that coal production will be 620,000 tons, 680,000 tons, 730,000 tons, and 590,000 tons, respectively, over the next four years. The excess production will be sold in the spot market at an average of $77 per ton. Variable costs amount to $31 per ton, and fixed costs are $4,100,000 per year. The mine will require a net working capital investment of 5% of sales. The NWC will be built up in the year prior to the sales. Bethesda will be responsible for reclaiming the land at termination of the mining. This will occur in Year 5. The company uses an outside company for reclamation of all the company’s strip minds. It is estimated the cost of reclamation will be $2.7 million. In order to get the necessary permits for the strip mine, the company agreed to donate the land after reclamation to the state for use as a public park and recreation area. This will occur in Year 6 and result in a charitable expense deduction of $6 million. Bethesda faces a 25% tax rate and has a 12% required return on new strip mine projects. Assume that a loss in any year will result in a tax credit.You have been approached by the president of the company with a request to analyze the project. Calculate the NPV, IRR for the new strip mine. Should Bethesda Mining take the contract and open the mine?

Bethesda Mining is a mid-sized coal mining company with 20 mines located in Ohio, Pennsylvania, West Virginia, and Kentucky. The company operates deep mines as well as strip minds. Most of the coal mined is sold under contract, with excess production sold on the spot market.The coal mining industry, especially high-sulfur coal operations such as Bethesda, has been hard-hit by environmental regulations. Recently, however, a combination of increased demand for coal and new pollution reduction technologies has led to an improved market demand for high-sulfur coal. Bethesda has been approached by Mid-Ohio Electric Company with a request to supply coal for its electric generators for the next 4 years. Bethesda Mining does not have enough excess capacity at its existing mines to guarantee the contract. The company is considering opening a strip mine in Ohio on 5,000 acres of land purchased 10 years ago for $4 million. Based on a recent appraisal, the company feels it could receive $6.5 million on an after-tax basis if it sold the land today.Strip Mining is a process where the layers of topsoil above a coal vein are removed and the exposed coal is removed. Some time ago, the company would remove the coal and leave the land in an unusable condition. Changes in mining regulations now force a company to reclaim the land; that is, when the mining is completed, the land must be restored to near its original condition. The land can then be used for other purposes. Because it is currently operating at full capacity, Bethesda will need to purchase additional necessary equipment, which will cost $95 million. The equipment will be depreciated on a 7-year MACRS schedule. The contract runs for only 4 years. At that time the coal from the site will be entirely mined. The company feels that the equipment can be sold for 60% of its initial purchase price in four years. The contract calls for the delivery of 500,000 tons of coal per year at a price of $86 per ton. Bethesda Mining feels that coal production will be 620,000 tons, 680,000 tons, 730,000 tons, and 590,000 tons, respectively, over the next four years. The excess production will be sold in the spot market at an average of $77 per ton. Variable costs amount to $31 per ton, and fixed costs are $4,100,000 per year. The mine will require a net working capital investment of 5% of sales. The NWC will be built up in the year prior to the sales. Bethesda will be responsible for reclaiming the land at termination of the mining. This will occur in Year 5. The company uses an outside company for reclamation of all the company’s strip minds. It is estimated the cost of reclamation will be $2.7 million. In order to get the necessary permits for the strip mine, the company agreed to donate the land after reclamation to the state for use as a public park and recreation area. This will occur in Year 6 and result in a charitable expense deduction of $6 million. Bethesda faces a 25% tax rate and has a 12% required return on new strip mine projects. Assume that a loss in any year will result in a tax credit.You have been approached by the president of the company with a request to analyze the project. Calculate the NPV, IRR for the new strip mine. Should Bethesda Mining take the contract and open the mine?

Quality Control and the Boeing 787

​Source: McCartney, Scott.​ "How to Inspect Every Piece of a Widebody​ Airplane." http://www.cetusnews.com/life/How-to-Inspect-Every-Piece-of-a-Widebody-Airplane.B1xPm2I4t-.html, posted

​8/30/2017.

Imagine​ you're buying a​ $270 million car.​ You'd want to kick the tires pretty hard.​ That's what airlines do with new airplanes. Delivering one widebody airplane is a big

deallong dash—each

plane has a list price roughly the cost of a​ high-rise hotel.

Carriers like American Airlines station their own engineers at Boeing factories to watch their flying machines get built and check parts as they arrive. Then they send flight​ attendants, mechanics and pilots for what are called shakedown inspections.

​"The rubber meets the road​ here," says an American​ manager, as he begins checking a brand new Boeing 787.​ "It's inspected and​ it's inspected and​ it's inspected. And yet we still find​ things." American is taking delivery of 57 new planes this year. Boeing does its own​ testing, but buyers do their own extra

inspectionlong dash—and

note an average of 140 items on a​ plane's punchlist.

Five flight​ attendants, a couple of mechanical experts and an American test pilot attack the​ 285-passenger plane. All the doors and panels are opened for inspection. Flight attendants shake each seat​ violently, grab the headrest and pull it up and jerk the cord on each entertainment controller. They test power​ ports, USB​ ports, audio jacks and the entertainment system. They open all tray​ tables, turn all lights on and off. They recline each seat with​ knee-knocking force. They flush all the​ toilets, blow fake smoke into smoke​ alarms, make sure all prerecorded emergency messages sound when required.

Inside the​ cockpit, an American test pilot flies the jet to its​ limits, making sure alarms sound when he increases air speed or slows the plane down to stall speed. He turns it sharply until​ "bank angle" warnings sound. Each engine gets shut down and restarted in the air. Every backup and emergency system is put into use to make sure it works.

Critical Thinking Questions

1. Why do airlines feel the need to make quality​ inspections?

A. The​ $270 million price tag.

B. Pilots like to check emergency systems.

C. Manufacturers sometimes miss errors.

D. All of the above.

2. Who participates in shakedown​ inspections?

A. Flight attendants only.

B. Boeing engineers.

C. Top management from the airline buying the plane.

D. Test pilots and other company representatives.

3. Flight attendants test the 787s

A. exterior paint.

B. ​seats, entertainment​ systems, and power parts.

C. air speed.

D. legroom.

4. Inspection on a commercial jet takes place

A. before delivery to the customer.

B. during the first scheduled flight.

C. before the contract is signed.

D. at the part​ supplier's shipping dock.

A randomized, double‑blind experiment studied whether magnetic fields applied over a painful area can reduce pain intensity. The subjects were 5050 volunteers with postpolio syndrome who reported muscular or arthritic pain. The pain level when pressing a painful area was graded subjectively on a scale from 00 to 1010 ; (where 00 is no pain, 1010 is maximum pain.)

Patients were randomly assigned to wear either a magnetic device or a placebo device over the painful area for 4545 minutes. A summary is given of the pain scores for this experiment, expressed as means ±± standard deviations.

(a) Is there good evidence that the magnetic device is better than a placebo equivalent at reducing pain? Let ?1μ1 and ?2μ2 be the mean change in pain for patients given the magnetic device or the placebo device, respectively. State the hypotheses for the appropriate test.

a. ?0:?1−?2=4.1 vs ??:?1−?2≠4.1H0:μ1−μ2=4.1 vs Ha:μ1−μ2≠4.1

b. ?0:?1≤?2 vs ??:?1>?2H0:μ1≤μ2 vs Ha:μ1>μ2

c. ?0:?1−?2=0 vs ??:?1−?2=4.1H0:μ1−μ2=0 vs Ha:μ1−μ2=4.1

d. ?0:?1=?2 vs ??:?1>?2H0:μ1=μ2 vs Ha:μ1>μ2

e. ?0:?1=?2 vs ??:?1≠?2H0:μ1=μ2 vs Ha:μ1≠μ2

f. ?0:?1−?2=4.1 vs ??:?1−?2>4.1H0:μ1−μ2=4.1 vs Ha:μ1−μ2>4.1

g. ?0:?1=?2 vs ??:?1<?2

Give the test statistic and the ?P‑value for the test.

a. ?=1.15,0.10<?<0.20t=1.15,0.10<P<0.20

b. ?=5.95,0.0005<?<0.05t=5.95,0.0005<P<0.05

c. ?=5.95,?<0.0005t=5.95,P<0.0005

d. ?=1.15,0.20<?<0.30t=1.15,0.20<P<0.30

Is there significant difference between the magnetic device and a placebo in relieving pain?

a. There is no evidence that the magnetic device is better than a placebo at relieving pain in this population, on average.

b. There is extremely strong evidence that the magnetic device is better than a placebo at relieving pain in this population, on average.

c. There is significant evidence that the magnetic device is better than a placebo at relieving pain among the study participants.

d. There is some moderate evidence that the magnetic device is better than a placebo at relieving pain in this population, on average.

(b) How much reduction in pain is achieved with the magnetic device? Select the correct 95%95% confidence interval for the mean difference in pain scores before and after treatment among patients given the magnetic device.

a. 3.2 to 5.63.2 to 5.6

b. 3.8 to 6.63.8 to 6.6

c. 4.2 to 6.24.2 to 6.2

d. 4.0 to 6.44.0 to 6.4

What procedure did you use for this confidence interval?

a. The matched pairs ?t procedure

b. The two‑sample ?t procedure

c. The one‑sample ?t procedure

d. None of the options are correct.

Balance sheet format, terminology, and accounting methods. Exhibit 4.4 presents the balance
sheet of Paul Loren Company for Years 10 and 9. This balance sheet uses the terminology

Paul Loren Company
Balance Sheets
For Years 10 and 9
(amounts in millions of US$) (Problem 32)
Year 10 Year 9
ASSETS
Current Assets
Cash and cash equivalents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 563.1 $ 481.2
Short-term investments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 584.1 338.7
Accounts receivable, net of allowances of $206.1 and $190.9 million . . . 381.9 474.9
Inventories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 504.0 525.1
Deferred tax assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103.0 101.8
Prepaid expenses and other . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139.7 135.0
Total Current Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2,275.8 2,056.7
Noncurrent investments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75.5 29.7
Property and equipment, net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 697.2 651.6
Deferred tax assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101.9 102.8
Goodwill . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 986.6 966.4
Intangible assets, net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 363.2 348.9
Other assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148.7 200.4
Total Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 4,648.9 $4,356.5
LIABILITIES AND STOCKHOLDERS’ EQUITY
Current Liabilities
Accounts payable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $ 149.8 $ 165.9
Income tax payable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37.8 35.9
Accrued expenses and other . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 559.7 472.3
Total Current Liabilities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 747.3 674.1
Long-Term Debt. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 747.3 674.1
Deferred Tax Liabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 282.1 406.4
Other Noncurrent Liabilities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126.0 154.8
Total Liabilities. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,902.7 1,909.4
STOCKHOLDERS’ EQUITY:
Class A common stock, par value $0.01 per share; 75.7 million and
72.3 million shares issued; 56.1 million and 55.9 million shares
outstanding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.8 0.7
Class B common stock, par value $0.01 per share; 42.1 million and
43.3 million shares issued and outstanding . . . . . . . . . . . . . . . . . . . 0.4 0.4
Additional paid-in capital. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,243.8 1,108.4
Retained earnings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2,544.9 2,177.5
Treasury stock, Class A, at cost (19.6 million and 16.4 million shares) . . . . (1,197.7) (966.7)
Accumulated other comprehensive income . . . . . . . . . . . . . . . . . . . . . . . 154.0 126.8
Total Stockholders’ Equity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2,746.2 2,447.1
Total Liabilities and Stockholders’ Equity . . . . . . . . . . . . . . . . . . . . . . $ 4,648.9 $4,356.5

format, and accounting methods of U.S. GAAP, and Paul Loren reports results in millions
of U.S. dollars. (Adapted from the financial statements of Polo Ralph Lauren.)
In addition to the items reported in Paul Loren’s balance sheet, assume the following
hypothetical information is available to you:
■ In Year 10 Paul Loren revalued a building with an acquisition cost of $200 million
downward, to its current fair value of $182 million.
■ In Year 10 Paul Loren wrote up the value of inventory, with a carrying value of $135
million, to its fair value of $165 million.
■ Included in commitments and contingencies for Year 10 is a lawsuit filed against Paul
Loren for breach of contract. Paul Loren estimates the following range of outcomes
for this lawsuit: 70% chance of damages of $100 million, 20% chance of damages of
$500 million, and 10% chance of damages of $1 billion.
a. Prepare a balance sheet for Paul Loren for Year 10, following the format, terminology,
and accounting methods required by U.S. GAAP. Ignore any income tax effects of any
revisions to reported amounts.
b. How, if at all, would your answer to part a differ if Paul Loren used IFRS?