An object of mass m₁ = 0.435 kg starts from rest at point  and slides down an incline surface that makes an angle θ = 36.0°

with the horizontal as shown. The coefficient of kinetic friction between the object and the incline surface is 0.395. After sliding down a distance d = 5.60 m, it makes a perfectly inelastic collision with an object of mass m₂ = 0.650 kg at point .

a) Find the speed of m₁ at point  just before the collision.

(b) Find the energy loss during the collision. Enter the magnitude.

(c) After the collision, the objects travel on a horizontal surface with a kinetic coefficient of 0.405. How long does it take until the objects come to rest at point ?.

Under certain water​ conditions, the free chlorine​ (hypochlorous acid,​ HOCl) in a swimming pool decomposes according to the law of uninhibited decay. After shocking a​ pool, the pool​ boy, Geoff, tested the water and found the amount of free chlorine to be 2.4 parts per million​ (ppm). ​ Twenty-four hours​ later, Geoff tested the water again and found the amount of free chlorine to be 2.1 ppm. What will be the reading after 2 days​ (that is, 48 ​hours)? When the chlorine level reaches 1.0​ ppm, Geoff must shock the pool again. How long can Geoff go before he must shock the pool​ again?

You are a consultant to a large manufacturing corporation considering a project with the following net after-tax cash flows (in millions of dollars).

The project's beta is 1.5. Assuming rf = 4% and E(rm) = 12%

a. What is the net present value of the project? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places)

b. What is the highest possible beta estimate for the project before its NPV becomes negative? (Do not round intermediate calculations. Round your answer to 2 decimal places).

2. You are presently selling 500 cups of coffee per day at $1.200 per cup. You want to increase sales by dropping the price to $0.80 per cup. The Price Elasticity of Demand is -2.4.

1. What is your expected new level of sales?
2. Compare Total Revenue before and after the change in price.
3. How would you characterize this product?

3. A deli across the street drops the price of their coffee from $1.50 per cup to $1.25 per cup. The Cross Price Elasticity of Demand is 1.2. Using your answer from question 2 above as a starting point, determine your sales volume after the price reduction by the deli.

A firm is examining some alternatives to invest their money. All the alternatives have the same useful life, 10 years. The interest rate is 7% and the firm has a flat tax rate of 31%. The options are summarized in the following table.

What is the after-tax IRR for project A?

What is the after-tax NPV for project B?

What is the before-tax NPV for project C?

Remember to answer using one of the following forms: 99.99 or 99.99%

Suppose the Central Bank conducts an open market purchase.

a) Show the effects of this on the bond market and money market by drawing a supply and demand diagram for each. Assume the liquidity effect is the only effect.

b) Looking at your diagram, immediately after the open market purchase (i.e. after the shifts you drew in the diagram but before the markets are at the new equilibria) would there be excess demand or excess supply in the money market and the bond market? Briefly explain.

c) Suppose in addition to the liquidity effect, there is a price level effect in this market. Briefly explain how the open market purchase would eventually affect the money market due to the price level effect

Choose a variable that will allow the use of dependent samples. For example, you might wish to see if a persons’ proficiency at softball has changed/improved after a training camp. Do not use variables that are presented in the course in order to illustrate the concept. Select a sample of data (10 to 20) value pairs (e.g. before and after), and then complete the following:

i. Show the computations of the sample statistic, the standard deviation of the

   differences in pairs, the test statistic.

j. State the decision. A training camp has changed/improved a person’s proficiency.

   at softball, or has not changed/improved a person’s proficiency.

   at softball.

k. Summarize the results.

l. Construct a confidence interval. State the conclusion. Summarize the results.

A small pilot study is conducted to investigate the effect of a nutritional supplement on total body weight. Six participants agree to take the nutritional supplement. To assess its effect on body weight, weights are measured before starting the supplementation and then after 6 weeks. The data are shown below. Is there a significant increase in body weight following supplementation? Run the test at a 5% level of significance, assuming the outcome is normally distributed. (enter 1 for “yes”, and 0 for “no”)

You are a consultant to a large manufacturing corporation considering a project with the following net after-tax cash flows (in millions of dollars):

Years from Now After Tax CF

0 -38

1-9 12

10 24

The project's beta is 1.4. Assuming rf = 6% and E(rM) = 16% a. What is the net present value of the project? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.) b. What is the highest possible beta estimate for the project before its NPV becomes negative? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

On January 1, 2020, Holland Corporation paid $9 per share to a group of Zeeland Corporation shareholders to acquire 60,000 shares of Zeeland’s outstanding voting stock, representing a 60 percent ownership interest. The remaining 40,000 shares of Zeeland continued to trade in the market close to its recent average of $7.50 per share both before and after the acquisition by Holland. Zeeland’s acquisition date balance sheet follows:

On January 1, 2020, Holland assessed the carrying amount of Zeeland’s equipment (5-year remaining life) to be undervalued by $56,000. Holland also determined that Zeeland possessed unrecorded patents (10-year remaining life) worth $290,200. Zeeland’s acquisition-date fair values for its current assets and liabilities were equal to their carrying amounts. Any remaining excess of Zeeland’s acquisition-date fair value over its book value was attributed to goodwill.

The companies’ financial statements for the year ending December 31, 2021, follow:

At year-end, there were no intra-entity receivables or payables.

1. Compute the amount of goodwill recognized in Holland’s acquisition of Zeeland and the allocation of goodwill to the controlling and noncontrolling interest.

2. Show how Holland determined its December 31, 2021, Investment in Zeeland account balance.

3. Prepare a worksheet to determine the amounts that should appear on Holland’s December 31, 2021, consolidated financial statements.