A completely inelastic collision occurs between two balls of putty that move directly toward each other along a vertical axis. Just before the collision, one ball of mass m1 is moving upward at speed v1 and the other ball of mass m2 is moving downward at speed v2. In the following, if there is gravity it has acceleration g.

(a) Suppose the collision happens very fast. What is the velocity of the putty immediately after the collision?

(b) Suppose the collision happens slowly, taking time ∆t. Now what is the velocity of the putty immediately after the collision.

(c) When the problem says that the collision happens fast or slow, how can we determine what fast or slow means? Is there a condition we know about before solving the problem that can we can use to test whether the collision qualifies as “fast”?

(d) A cylindrical asteroid of mass m0 and radius r is in space (no gravity) traveling through a dust cloud with initial velocity v0. It is traveling along the direction of its symmetry axis, so that dust sticks to the ‘front’ (round surface) of the asteroid. What is the velocity of the asteroid as a function of its total mass?

1.

Dana intends to invest $62,000 in either a Treasury bond or a corporate bond. The Treasury bond yields 5 percent before tax and the corporate bond yields 6 percent before tax.

a-1. Assuming Dana’s federal marginal rate is 24 percent and her marginal state rate is 5 percent, which of the two options should she choose? Assume that Dana itemizes deductions.

Corporate bond

Treasury bond

a-2. How much interest after-tax would Dana earn by investing in the corporate bond?  (Do not round intermediate calculations and round your final answer to the nearest whole dollar amount.)

b-1. If she were to move to another state where her marginal state rate would be 10 percent, which of the two options should she choose? Assume that Dana itemizes deductions.

Corporate bond

Treasury bond

b-2. How much interest after-tax would Dana earn by investing in the corporate bond as per requirement b-1? (Do not round intermediate calculations and round your final answer to the nearest whole dollar amount.)

Part A: Imagine a researcher thinks that using caffeine before a test increases test scores. If they had the consent of all the students in a 120-person class to participate in a study, a good experimental design would follow which protocol?

Part B: In a regression equation, the coefficient for the constant (aka intercept) represents,

Crain Company has a manufacturing subsidiary in Singapore that produces high-end exercise equipment for U.S. consumers. The manufacturing subsidiary has total manufacturing costs of $1,600,000, plus general and administrative expenses of $360,000. The manufacturing unit sells the equipment for $2,600,000 to the U.S. marketing subsidiary, which sells it to the final consumer for an aggregate of $3,600,000. The sales subsidiary has total marketing, general, and administrative costs of $210,000. Assume that Singapore has a corporate tax rate of 33% and that the U.S. tax rate is 46%. Assume that no tax treaties or other special tax treatments apply.

Required: What is the effect on Crain Company’s total corporate-level taxes if the manufacturing subsidiary raises its price to the sales subsidiary by 20%? (Do not round intermediate calculations. Input all amounts as positive values.)

J/E's Total from subsidiaries

income prior to increase in transfer price

revenues

direct cost

other cost

profit cost

profit before tax

tax

profit after tax

income after increase in transfer price

revenue

direct coast

other cost

profit before tax

1. Recently,Asphal Corp. received a report from an external consulting a Quality Costs Report that totally costs is 21% of its sales. Raynaldo and Richiekun are directors of that company and try to improve the Quality Product and Services by determined A Quality Improvement Program(QIP) to reduced to 17% costs to total revenue. Vintachan as controller tr to reduce the Costs of Quality below:
   
   

   no	Costs	Before QIP	After QIP
   1	Warranty	$ 1,200	$900
   2	Quality Planning	2,800	3,200
   3	Product Acceptance	2,300	2,800
   4	Disposal Costs	700	500
   5	Scrap	600	400
   6	Field Inspection	1,100	1,300
   7	Complain adjustment	1,000	900
   8	Downtime	900	600
   9	Returned materials	600	400
   10	Quality audits	1,500	1,800
   11	Packaging inspection	800	900
   12	Quality Circles	2,600	2,900
   13	Product recalls	700	300
   14	Machine downtime	400	300
   15	New product review	1800	2,100

   
   Required: a) Cost of Quality report before and After QIP    b) is there any improvement, explain

Consider the following two banks:

Bank 1 has assets composed solely of a 10-year, 12.25 percent coupon, $2.3 million loan with a 12.25 percent yield to maturity. It is financed with a 10-year, 10 percent coupon, $2.3 million CD with a 10 percent yield to maturity.

Bank 2 has assets composed solely of a 7-year, 12.25 percent, zero-coupon bond with a current value of $1,946,687.39 and a maturity value of $4,371,199.86. It is financed by a 10-year, 7.50 percent coupon, $2,300,000 face value CD with a yield to maturity of 10 percent.

All securities except the zero-coupon bond pay interest annually.

a. If interest rates rise by 1 percent (100 basis points), what is the difference in the value of the assets and liabilities of each bank? (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places. (e.g., 32.16))

Answer the blank！

1. A small college went online in the middle of the semester in order avoid a virus contagion. They implemented a new online program to help increase students’ access to learning material and continue their classes. The data below is the average number of students that came to class before and after the move to online. The following is the number of students in the class before going online and after going online. The administration clams that there is no relationship between going online and the class attendance and you do not believe this. You are going to use a .10 alpha to conduct a test.

1. What is the Null and Alternative hypotheses? Write them both out below: (2)
2. What is the Critical value of the distribution? Why? (1)
3. Calculate the average difference, standard deviation for the data above: (2)
4. What is the sample statistic above? Show work (2)
5. Do we reject the null hypotheses? Is there evidence that the new system lowers the number of spoiled foods a company has? (3)

Suppose the nominal interest rate on car loans is 11% per year, and both actual and expected inflation are equal to 4%.

Complete the first row of the table by filling in the expected real interest rate and the actual real interest rate before any change in the money supply.

Now suppose the Fed unexpectedly increases the growth rate of the money supply, causing the inflation rate to rise unexpectedly from 4% to 6% per year.

Complete the second row of the table by filling in the expected and actual real interest rates on car loans immediately after the increase in the money supply (MS).

The unanticipated change in inflation arbitrarily benefits   .

Now consider the long-run impact of the change in money growth and inflation. According to the Fisher effect, as expectations adjust to the new, higher inflation rate, the nominal interest rate will   to

per year.

A shoe manufacturer claims that athletes can increase their vertical jumps using the manufacturer’s training shoes. The vertical jump heights of 8 randomly selected athletes are measured before they tried they shoes and then after they had been wearing the shoes for 9 months. The heights in inches are shown below. Assume vertical jump heights are normally distributed. Let and .

Write the hypotheses for this test.

Using your hypotheses, determine which tailed test this is.

Calculate the value of the standardized test statistic. Round your answer to 2 decimal places.

Calculate the P-Value for this test statistic. Round your answer to 4 decimal places

Based on this P-Value, what decision should you make?

Either the test resulted in an error or a correct decision. If an error was made, what type of error was it?

please show work/ excel work