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

For the elastic body defined in Question 1 (below), define the boundary conditions in terms of displacement, assuming the boundary surface at the point in question has direction cosines with respect to x and y and z equal to l=0.8 and m=0.6 and n=0 . Consider the case when the change in volume is negligible.

Are all the compatibility equations satisfied for the Plane Stress conditions? If not, which equations are not satisfied? Explain the case for the Plane Strain conditions?

Question 1:

Write down the equilibrium equations for a three-dimensional isotropic material in terms of displacements. Assume that the material modulus of elasticity, Poisson ratio and density are, and that the body forces are due to the material weigh and the constant gravitational accelerations applied in z-direction.

The data below are comparing two different methods of measuring blood alcohol concentration. Test the hypothesis that these two methods differ, with the assumption that these data are not normally distributed, with an α = 0.01. Which test would be most appropriate? Provide critical value and calculated test statistic, and then state your conclusion.

1

x is a binomial random variable. (Give your answers correct to three decimal places.)

(a) Calculate the probability of x for:     n = 7,    x = 3,    p = 0.9
P(x) =   

(b) Calculate the probability of x for:     n = 5,    x = 4,    p = 0.25
P(x) =  

(c) Calculate the probability of x for:     n = 8,    x = 2,    p = 0.6
P(x) =   

(d) Calculate the probability of x for:     n = 6,    x = 5,    p = 0.45
P(x) =   

(e) Calculate the probability of x for:     n = 10,    x = 8,    p = 0.8
P(x) =   

(f) Calculate the probability of x for:     n = 8,    x = 7,    p = 0.45
P(x) =