A rotating wheel obeys the equation theta(t)= 8.9t-14.0t^2+1.84t^4 where theta is in radians and t is in seconds.

What is ω at t = 4.0 s? Use 'rad/s' for your units.

What is α at t = 4.0 s? Use 'rad/s^2' for your units.

What is the average angular velocity between t = 1.0 s and 2.0 s? Use 'rad/s' for your units.

What is the average angular acceleration between t = 1.0 s and 2.0 s? Use 'rad/s^2' for your units.

Computing Present Value of Terminal Period FCFF

Use the following data to compute the present value of the terminal period free cash flows to the firm for each of the four firms A, B, C, and D. The forecast horizon included four years.

Round answers to the nearest whole number.

Suppose 1.0 mol of an ideal gas is initially at P=4.0 atm and T=400 K. It is expanded irreversibly and adiabatically against a constant pressure of 1.0 atm until the volume has doubled.
(a) Calculate the final volume of the gas.
(b) Calculate w, q, and energy change ΔU of this process, in joules.
(c) Calculate the final temperature of the gas.
(d) Calculate the entropy change ΔS of the ideal gas in the process.
(e) What is the entropy change of the surroundings, ΔS_surr, during this process? Does the results in (c) and (d) in combination satisfy the second law of thermodynamics? Explain

The following data is provided for a market 500 Index:                                                               
                                                                                    
                        Year     Total return     Year     Total return                 
                        2010    9.0%                2020    2.0%                
                        2011    11.0%             2021    3.0%                
                        2012    -3.0%               2022    3.0%                
                        2013    1.0%                2023    -1.0%               
                        2014    5.0%                2024    5.0%                
                        2015    -12.0%             2025    4.0%                
                        2016    3.0%                2026    -3.0%               
                        2017    4.9%                2027    3.5%                
                        2018    -7.0%               2028    7.0%                
                        2019    0.1%                2029    5.8%                
                                                                                    
Calculate the 20-year arithmetic average annual rate of return on the market Index.

A) 2.07%

B) 0.10%

C) 2.59%

D) 5.62%                                                          

The following information is available as of today: the one-year forward rate (dollars per euro) is 1.50 ($/€) and the two-year forward rate (dollars per euro) is 2.00 ($/€). The interest rate per year for deposits in euro in the foreign country is R€ = 5.00%. A year from now your firm will generate $1.0 million that you intend to deposit in euros in the foreign country for one year. Two years from now you would like to repatriate the amount held in the deposit, i.e. whatever is accumulated in euros will be exchanges back into dollars. Obviously, one way to do this is to wait until the end of the first year, exchange the $1.0 million into euros at then prevailing dollars/euros spot exchange rate and deposit the euros; two years from now, exchange the accumulated euros into dollars at then prevailing dollars/euros spot exchange rate and repatriate the dollars. Comparing the dollars you repatriate with the initial investment ($1.0 million) you are able to calculate the return (interest rate) on your investment. With this strategy the return will be variable as it depends on the spot exchange rates a year from now and two years from now.

Part i. [10 points] Using the two available forward contract could you guarantee yourself a fixed return on the dollars invested as described above? Please provide the details of your transactions.

Part ii. [10 points] Calculate the guaranteed interest rate you would thus obtain on the $1.0 million initial investment.

Problem #C4:

A) Calculate the Molarity for: H⁺(at equilibrium) and HCl (after dilution occurs but before the reaction occurs).

B) Calculate the Molarity for: H⁺(at equilibrium) and NaOH (after dilution occurs but before the reaction occurs).

C. pH of Buffer Solutions:

1. Preparation of Buffer Solution: Weigh 3.3 g of solid sodium acetate trihydrate, NaC2H3O2 * H2O, into a clean 150 or 250 mL beaker. Using graduated cylinders, add 46 mL of deionized water and 4.0 mL of 6.0 M HC2H3O2. Mix thoroughly. Measure 19.0 mL of this into each of two clean beakers. Label as "A" and "B". Measure the pH of this buffer solution using the remaining 10 mL.

2. Addition of Acid or Base to Buffer: a. To the buffer in beaker "A", add 1.0 mL of 3.0 M HCl. Mix thoroughly and read the pH of the resulting mixture. b. To the buffer in beaker "B,", add 1.0 mL of

3.0 M NAOH. Mix thoroughly and read the pH of the resulting mixture. 3. pH of Deionized water: Obtain 19 mL of deionized water in each of two beakers. Read the pH of the deionized water. (NOTE: It will not be a pH of 7.00.)

4. Addition of Acid or Base to Deionized Water: a. To one beaker of deionized water, add 1.0 mL of 3.0 M HCl. Mix thoroughly and read the pH of the resulting mixture. b. To the second beaker of deionized water, add 1.0 mL of 3.0 M NAOH. Mix thoroughly and read the pH of the resulting mixture.

(10 pts) Suppose that when I drive to school, I encounter one traffic light on Lewis Road and one traffic light on Santa Rosa Rd. Let the random variable X = number of red lights that I encounter on Lewis and Y = number of red lights that I encounter on Santa Rosa. Suppose that the marginal distributions of X and Y are as shown in the following probability table:

X=-1 X=1 Total
Y=-1 0.5
Y=1 0.5
Total 0.5 0.5 1.0
Notice that E(X) = E(Y) = .5, and Var(X) = Var(Y) = .25.

a) Fill in the table in such a way that Corr(X,Y) = 1. Verify that indeed it checks out.
X=-1 X=1 Total
Y=-1 0.5
Y=1 0.5
Total 0.5 0.5 1.0


b) Fill in the table in such a way that Corr(X,Y) = -1. Verify that indeed it checks out.
X=-1 X=1 Total
Y=-1 0.5
Y=1 0.5
Total 0.5 0.5 1.0


c) Fill in the table in such a way that Corr(X,Y) = 0. Verify that indeed it checks out.
X=-1 X=1 Total
Y=-1 0.5
Y=1 0.5
Total 0.5 0.5 1.0

Consider the variable W=X+Y, representing the total number of red lights I encounter on my drive to school.
d) Calculate E(W)





e) For each of the cases in parts a), b) and c), calculate SD(W)

Difficult Transitions Tony had just finished his first week at Hotel Luxury Incorporated and decided to drive upstate to a small lakefront lodge for some fishing and relaxation. Tony had worked for the previous ten years for the Sun Group Company, but Sun Group had been through some hard times of late and had recently shut down several of its operating groups, including Tony’s, to cut costs. Fortunately, Tony’s experience and recommendations had made finding another position fairly easy. As he drove the interstate, he reflected on the past ten years and the apparent situation at Reece. At Sun Group , things had been great. Tony had been part of the team from day one. The job had met his personal goals and expectations perfectly, and Tony believed he had grown greatly as a person. His work was appreciated and recognized; he had received three promotions and many more pay increases. Tony had also liked the company itself. The firm was decentralized, allowing its managers considerable autonomy and freedom. The corporate Culture was easygoing. Communication was open. It seemed that everyone knew what was going on at all times, and if you didn’t know about something, it was easy to find out. The people had been another plus. Tony and three other managers went to lunch often and played golf every Saturday. They got along well both personally and professionally and truly worked together as a team. Their boss had been very supportive, giving them the help they needed but also staying out of the way and letting them work. When word about the shutdown came down, Tony was devastated. He was sure that nothing could replace Sun Group . After the final closing was announced, he spent only a few weeks looking around before he found a comparable position at the Luxury Hotel. As Tony drove, he reflected that "comparable" probably was the wrong word. Indeed, Luxury Hotel and Sun Group were about as different as you could get. Top managers at Luxury Hotel apparently didn’t worry too much about who did a good job and who didn’t. They seemed to promote and reward people based on how long they had been there and how well they played the never-ending political games. Maybe this stemmed from the organization itself, Tony pondered. Luxury Hotel was a bigger organization than Sun Group and was structured much more bureaucratically. It seemed that no one was allowed to make any sort of decision without getting three signatures from higher up. Those signatures, though, were hard to get. All the top managers usually were too busy to see anyone, and interoffice memos apparently had very low priority. Tony also had had some problems fitting in. His peers treated him with polite indifference. He sensed that a couple of them resented that he, an outsider, had been brought right in at their level after they had had to work themselves up the ladder. On Tuesday he had asked two colleagues about playing golf. They had politely declined, saying that they did not play often. But later in the week, he had overheard them making arrangements to play that very Saturday. It was at that point that Tony had decided to go fishing. As he steered his car off the interstate to get gas, he wondered if perhaps he had made a mistake in accepting the Luxury Hotel offer without finding out more about what he was getting into. Case Questions Task 1. Identify several concepts and characteristics from the field of organizational behavior that this case illustrates. Task 2. What advice can you give Tony? How would this advice be supuported or tempered by behavioral concepts and processes?

Case 1 (Make Vs. Buy)

After recovering from a previous disaster in 2015, Jurassic World Luxury Resort reopened in early 2017, and business is better than ever. Jurassic World’s bioengineering team, led by Dr. Henry Wu, has designed two brand new dinosaurs named the Pepsisaurus and the Tostidodon (sponsored by PepsiCo). Having learned from past mistakes, Jurassic World’s operations manager, Claire Dearing, has insisted on making two state-of-the-art enclosures to ensure that the Pepsisaurus and Tostidodon do not escape their enclosures and wreak havoc on the theme park. Claire is not sure whether Jurassic World should manufacture the enclosures, or pay Hammond Corp $16,650,000 per enclosure to manufacture them for Jurassic World.

Claire has accumulated the following cost information related to the manufacture of the enclosures:

90% of the traceable fixed manufacturing overhead would be avoided if Jurassic World did not manufacture the enclosures. If Jurassic World did not manufacture the enclosures, it could instead use resources to open a new roller coaster ride that would generate $600,000 of margin.

1. Determine the total relevant costs of Jurassic World manufacturing the two enclosures itself. (1 point for the correct answer in the shaded box)

2. Determine the total relevant costs of Jurassic World paying Hammond Corp to manufacture the enclosures. (1 point for the correct answer in the shaded box)

3. Should Jurassic World manufacture the enclosures itself (MAKE) or pay Hammond Corp to manufacture them (BUY)? Circle One. (1 point for the correct answer)

MAKE                                BUY

Case 2 (Special Order)

While Jurassic World is filled to capacity with tourists most of the year, the theme park experiences a lower number of customers during September and October. This is due to the fact that September and October are “rainy season” in Jurassic World’s location—the island of Isla Nublar, off the coast of Costa Rica.

To celebrate their sponsorship of the Pepsisaurus and the Tostidodon, PepsiCo is interested in holding a 3-day, 2-night corporate retreat for 5,000 of its employees at Jurassic world during September. PepsiCo has told Claire that they would pay Jurassic World $200 per employee. This would provide each employee with three days of park admission, three days of meal and drink vouchers, and two nights of lodging. Additionally, PepsiCo wants Jurassic World to treat its employees to behind-the-scenes tours of the park, which would cost a total of $50,000 to plan and facilitate. Due to the timing of the retreat, Jurassic World has ample capacity to host PepsiCo’s employees.

Claire knows that Jurassic World normally charges $850 per person for a 3-day, 2-night admission, lodging, and meal/drink vacation package. The per person cost for this package is 670, as shown below:

Most of the overhead is the fixed cost of running the theme park, and goes towards marketing, administration, dinosaur bioengineering, customer service, grounds keeping and maintenance, dinosaur food, raptor training, and disaster control. However, $35 is variable with respect to the number of customers in the theme park.

4. Determine the incremental revenue to Jurassic World if Claire accepts PepsiCo’s request. (1 point for the correct answer in the shaded box)

5. Determine the incremental cost to Jurassic World if Claire accepts PepsiCo’s request. (1 point for the correct answer in the shaded box)

6. Should Claire accept PepsiCo’s offer? Circle One. (1 point for the correct answer)

YES                                     NO