Use the following balance sheets and income statement to answer this question

Calculate the firm’s free-cash-flow (FCF) for Tully during 2019 and carefully interpret the meaning of free cash flow that you calculated to the firm's investors.

Question 1

An office will increase salary to its top 8% employees on the basis of a performance score the office created for each employee. The performance score is approximately normal with mean 82.5 and standard deviation 9.25.

How high must an employee score in order to qualify for increase in the salary?

Group of answer choices

87.50

85.75

95.50

82.50

Question 2

The performance score of employees in an office is approximately normal with mean 82.5 and standard deviation 9.25.

What is the third quartile (Q3) of the performance score of the employees?

(Hints: Recall that the third quartile is a score with 75% data values below it and 25% data values above it)

Group of answer choices

9.25

88.74

82.50

76.26

Question 3

Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and a standard deviation of 16 seconds. How fast does a man have to run to be in the top 5% of runners (quickest runner)?

Group of answer choices

119.32 seconds

66.68 seconds

109.32 seconds

93.68 seconds

Question 4

The typical college freshman spends an average (mean) of 150 minutes per day with a standard deviation of 50 minutes on social media. The distribution of time on social media is known to be Normal.

What is the probability that students will spend between 140 minutes and 200 minutes on social media?

Group of answer choices

0.22

0.82

0.62

0.42

Question 5

A company produces packets of soap powder labeled “Giant Size 32 Ounces.” The actual weight of soap powder in such a box has a Normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. The company says a box of soap is considered underweight if it weighs less than 32 oz.

What is the probability that a box of soap is underweight (i.e., weigh less than 32 oz)?

Group of answer choices

0.7066

0.0766

0.7

0.5066

Thunder Bay Entertainment Inc. has two separate divisions: DVD rental and sporting goods. The beta of the entire company is 1.25. The beta of the DVD rentals division is 0.8 and the beta of the sporting goods division is 1.5. The risk-free rate is 4 percent and the market risk premium is 7.5 percent. Which of the following independent projects should the company undertake?

Widmer Company had gross wages of $246,000 during the week ended June 17. The amount of wages subject to social security tax was $221,400, while the amount of wages subject to federal and state unemployment taxes was $31,000. Tax rates are as follows: Social security 6.0% Medicare 1.5% State unemployment 5.4% Federal unemployment 0.8% The total amount withheld from employee wages for federal taxes was $49,200. If an amount box does not require an entry, leave it blank. If required, round answers to two decimal places.

a. Journalize the entry to record the payroll for the week of June 17.

b. Journalize the entry to record the payroll tax expense incurred for the week of June 17.

An all equity firm is expected to generate perpetual EBIT of $100 million per year forever. The corporate tax rate is 35%. The firm has an unlevered (asset or EV) Beta of 0.8. The risk-free rate is 4% and the market risk premium is 6%. The number of outstanding shares is 10 million.

1. The firm decides to replace part of the equity financing with perpetual debt. The firm will issue $100 million of permanent debt at the riskless interest rate of 4%, and use this $100 million of proceeds to repurchase the same amount of common stock.

A. Find the new value of the levered firm following this capital structure change.

B. Find the new number of shares outstanding, and the new share price.

Glass plate can be made stronger by inducing compressive residual surface stresses. This is done by a process called thermal tempering. The glass is heated to a temperature between the softening point (~750 K) and the glass transition temperature (~600 K). It is then cooled to room temperature. In this problem, it is cooled in a stream of air. What is the heat transfer coefficient when a 1.5 m x 1.5 m glass plate at 700 K first begins to cool in the air with a free stream velocity of 25 m/s? Use the correlation given below:

Nu = 0.037 Pr^(1/3) * (Re^(0.8) – 15,500)

b) Why are compressive residual surface stresses introduced by this method of cooling?

1.You decide to buy a house for a total of $198842. To get a mortgage loan, you make a 10% down payment, and the bank will lend you the rest. The interest rate quoted for this loan is 6% APR, and the loan will be paid (and interest compounded) every month, for the next 30 years. How much is the TOTAL monthly payment for this mortgage?

2.A company has $96 million in outstanding bonds, and 10 million shares of stock currently trading at $37 per share.The bonds pay an annual coupon rate of 5% and is trading at par. The company's beta is 0.8, its tax rate is 40%, the risk-free rate is 3%, and the market risk premium is 4%. What is this firm's WACC?

Argon gas is initially at a pressure of 10 bar and temperature of 45oC (state 1), while occupying a volume of 0.8 m3 in a frictionless piston-cylinder arrangement. The gas then undergoes a reversible constant volume process to a pressure of 6 bar (state 2), followed by a constant pressure process in which the temperature is restored to 45oC (state 3). a) Sketch the processes on T-s and p-v diagrams b) Assuming perfect gas behaviour determine i) The work done by each process. ii) The heat transfer during each process. iii) The change in entropy in process state 3 to 1. (For Argon take Cp = 519.6 J.kg^-1K^-1 and relative molar mass M=40