6) A solution of sodium chloride (molecular weight 58.5) is electrolyzed and it is found that a
current of 1 A liberates 1.3 x 10-3 kg of chlorine (atomic weight 35.5) in one hour. Sodium
chloride crystals of density 2.17 x 103 kg/m3 are analyzed by x rays and the unit cell parameter is
found to be 5.6 x 10-10 m. From these data calculate the charge on a monovalent ion.

7) In a Milikan oil-drop experiment, a certain droplet was found to fall freely in air at a steady rate
of 1.15 x 10-4 m/sec. between horizontal plates 3 mm apart. When an electrical potential
difference of 400 V was applied between the plates, the droplet rose steadily at 1.2 x 10-5 m/sec;
while at 300 V, the droplet fell steadily at 1.8 x 10-5 m/sec. Find the magnitude of the charge on
the drop, given that the viscosity of the air is 1.8 x 10-5 mks units, and the density of the oil used
was 900 kg/m3.

8) In an experiment to determine e/m for electrons by J. J. Thomson’s method, the particles were
deflected by a uniform electrostatic field of 50000 V/m applied between plates 0.05 m long. The
deflection produced on a screen placed 0.3 m away from the center of the plates was 0.05 m.
This deflection was exactly canceled by applying a magnetic field of 0.001 Tesla coextensive with
the electric field. Find the speed of the electrons, their specific charge, and the accelerating
voltage.

1. A mass weighing 10 lbs. is attached to a spring suspended from the ceiling. The mass will stretch the spring 6 inches. If the mass is pulled 5 inches below its equilibrium point and given an initial upward velocity of 0.3 ft./sec. and if damping forces are neglected, then what is the equation of motion of the mass? What is the amplitude of the motion?

2. A 980-newton force stretches a spring 0.4 meters. If a 200 kg mass is attached to the spring and pulled 0.5 meters below its equilibrium point and released, neglecting damping forces, what is the equation of motion of the mass?

3. A mass weighing 8.2 pounds will stretch this spring 1.36 feet. The spring/mass system is damped by a force that is 1.5 times the instantaneous velocity of the mass. Determine the equation of motion of the mass, if the mass is stretched 1 foot below its equilibrium point and released.

4. A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous velocity. A 12 kg mass is attached to the spring. The spring is compressed 0.8 meters above the equilibrium position and given an initial downward velocity of 3 m/s. Determine the equation of motion of the mass

5. A mass weighing 3(1/5) pounds stretches a spring by 1 foot. If the spring/mass system is damped by a force that is twice the instantaneous velocity and this same mass is given an initial upward velocity of 1.3 ft/sec from the equilibrium position, then what is the equation of motion of the mass?

A kitchen appliance manufacturer is deciding whether or not to in- troduce a new product. Management has identified three possible demand regimes, with associated projected income for the first year of operation. In addition, if the company decides to produce the new product, it can do so by using its existing facilities, which will cost it $3,500,000 in renovations; or build a new facility, which will cost $6,500,000. Expanding will allow it to make more product and so its potential sales can be higher. The following table contains a summary of management expectations:

The company believes that if the new product is not introduced, in the first year of operation the company will loose $10,500,000 in sales to competitors in a high demand regime, $1,500,000 in a medium demand regime, and $0 in a low demand regime.

(a) Construct a payoff table and decision tree for this problem.
(b) Using the expected value approach, what should the company do?
(c) The company finds itself in a difficult financial situation. How does this information affect your recommendation in part (b)?
(d) A consulting company claims it can perform a more thorough market research study. In your opinion, should this study be performed?
(e) The company has the option of constructing a new facility after 1 year of operation. In your opinion, which conditions would warrant an expansion after year 1?

A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5231 years and 1 year, respectively. The following data are collected. The California state university system students took on average 4.6 years with a standard deviation of 0.8. The private university students took on average 4.2 years with a standard deviation of 0.3. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

-state the null hypothesis

-state the alternative hypothesis

-In words, state what your random variable X_state − X_private  represents.

-State the distribution to use for the test. (Round your answers to two decimal places.)

X_state − X_{private ~ __ ( __ , __ )}

_-What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
-What is the p-value? (Round your answer to four decimal places.)
-Sketch a picture of this situation. Label and scale the horizontal axis and shade the region(s) corresponding to the p-value. (Upload your file below.)

-(i) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =

-decision rejected or or do not reject

Commercial fishermen in Alaska go into the Bering Sea to catch all they can of a
particular species (salmon, herring, etc.) during a restricted season of a few weeks.
The schools of fish move about in a way that is very difficult to predict, so the fishing in a
particular spot might be excellent one day and terrible the next.
The day-to-day records of catch size were used to discover that the probability of a good
fishing day being followed by another good day is 0.5, by a medium day 0.3, and by a poor
day 0.2.
A medium day is most likely to be followed by another medium day, with a probability of 0.4,
and equally likely to be followed by a good or bad day.
A bad day has a 0.1 probability of being followed by a good day, 0.4 of being followed by a
medium day, and 0.5 probability of being followed by another bad day.
a) (10 points) If the fishing day is bad on Monday, what is the probability that it will be
medium on Thursday?
b) (10 points) Suppose the fishing day will be good w.p. 0.25, medium w.p. 0.30 and bad
with 0.45 on the current day, which is a Tuesday. How do you think fishermen came up
with these probabilities for the current day? Argue.
c) (10 points) Given the probabilities in part b, calculate the probability of having a bad
fishing day after three days.
d) (10 points) What is the probability of four consecutive good fishing days until it gets
worse.
e) (10 points) If the fishing day is medium initially, for how many days on the average will it
remain medium? What is the distribution of this number of days?

Devon Limited is a company that has issued corporate bonds with a par value of $100 and a coupon rate of 11%. The Total Statement of Financial Position value of bonds is $50million. The company’s bonds are currently trading at a price of $103. Interest is payable annually in arrears. The maturity date is in four years time. The company has a target capital structure of 25% debt, 15% redeemable preference shares, 10% non-redeemable preference shares, and 50% in ordinary equity financing. Retained earnings and contributed capital amount to $100million. The company has two types of preference shares in issue. There are 0.2 million non-redeemable preference shares which are issued at $100 per share and there are 0.3 million redeemable shares which were also issued at $100 and are redeemable at $100 per share. The maturity date of redeemable shares is in four years’ time. Preference dividends are payable annually in arrears for both issues. Non-redeemable preference shares are currently priced at $107 and the redeemable preference shares are currently priced at $104. The coupon rates are 9% for each issue and coupon payments were recently paid.The company’s beta is 1.20 and the risk free rate is 8%. The market premium is expected to be 5.5%. The corporation tax rate is 28%.

Required:

(a)What is Devon’s after tax cost of debt?

(b)What is the cost of the two types of preference shares?

(c)What is the cost of equity?

(d)What is the company’s weighted average cost of capital?

Managers of an Auto Products company are considering the national launch of a new car cleaning product. For simplicity, the potential average sales of the product during its lifetime are classified as being either high, medium, or low, and the net present value of the product under each of these conditions is estimated to be 80M, 15M, and -40M Tl respectively. The company’s marketing manager estimates that there is a 0.3 probability that average sales will be high, a 0.4 probability that they will be medium. It can be assumed that company’s objective is to maximize the net present value.

1. On the basis of the marketing manager’s prior probabilities, determine:

1. whether the product should be launched;

2. expected value of perfect information.

2. The managers have another option. Rather than going immediately for a full national launch, they could first test market the product. This would obviously delay the national launch, and this delay, together with other outlays would lead to costs having a net present value of 3M TL. The test marketing would give an indication as to the likely success of the national launch, and therealibility of each possible indications that could result are shown by the conditional probabilities are given below (e.g. İf the market for the product is such that high sales could be achieved, there is a probability of 0.15 that the test marketing would in fact indicate medium sales):

Determine whether the company should test market the product.

Problem 7-5

1. William Company’s balance sheet at the end of 2019 (beginning of 2020) reported Accounts Receivable of $314,200 and Allowance for Doubtful Accounts of $4,710 (credit balance).
2. The company’s total sales during 2020 were $3,340,000. Of these, $501,000 were cash sales the rest were credit sales.
3. The company also wrote off an account for $4,152.
4. By the end of the year, the company had collected $2,516,680 of the credit sales.

Requirements

1. Create T-accounts for Accounts Receivables and the Allowance for Doubtful Accounts. Post the information from Item 1.
2. Prepare journal entries for Items 2, 3, & 4.
3. Post the journal entries. Calculate William Company’s balances for Accounts Receivable and the Allowance for Doubtful Accounts at the end of 2020, before the adjusting entry is made.
   1. What is the net realizable value at this point?
4. For each of the following separate scenarios, prepare the adjusting entry for bad debt.
   1. Williams Company estimates that 0.3% of credit sales will be uncollectible.
   2. Based on an aging of receivable, Williams Company estimates that $9,500 of the accounts will be uncollectible.
   3. Instead of the write-off being for $4,152, as stated in Item 3, the write-off was $5,152. Recalculate the balances in the Allowance for Doubtful Accounts and Accounts Receivable. Based on an aging of receivable, Williams Company estimates that $9,500 of the accounts will be uncollectible.
5. Based on the journal entry for each of the 3 scenarios in d., calculate the net realizable value that will be reported on the Balance Sheet. Also provide the amount of Bad Debt Expense that will appear on the Income Statement in the Operating Expenses section.

EXPECTED RETURNS

Stocks A and B have the following probability distributions of expected future returns:

A.Calculate the expected rate of return, r_B, for Stock B (r_A = 10.10%.) Do not round intermediate calculations. Round your answer to two decimal places.
%

B.Calculate the standard deviation of expected returns, σ_A, for Stock A (σ_B = 22.00%.) Do not round intermediate calculations. Round your answer to two decimal places.
%

C. Now calculate the coefficient of variation for Stock B. Round your answer to two decimal places.

Is it possible that most investors might regard Stock B as being less risky than Stock A?

1. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
2. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in a portfolio sense.
3. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
4. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense.
5. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.