Blocks A (mass 3.00 kg) and B (mass 12.00 kg, to the right of A) move on a frictionless, horizontal surface. Initially, block B is moving to the left at 0.500 m/s and block A is moving to the right at 2.00 m/s. The blocks are equipped with ideal spring bumpers. The collision is head on, so all motion before and after it is along a straight line. Let +x be the direction of the initial motion of A.

Find the maximum energy stored in the spring bumpers.

Find the velocity of block A when the energy stored in the spring bumpers is maximum.

Find the velocity of block B when the energy stored in the spring bumpers is maximum.

Find the velocity of block A after the blocks have moved apart.

Find the velocity of block B after the blocks have moved apart.

Your firm has 10 million shares outstanding currently priced at $40 a share. There is no debt. The firm wishes to raise $15 million through a rights-issue with subscription price of $15.

a) How many rights would be needed to buy a new share?

b) What is the total value of the firm before and after the rights-issue?

c) What is the total number of shares after rights-issue?

d) What is the share price after the issue (the ex-rights price)?

e) What is the price of one right? f) (3 points) What would be the total market value of the firm if it decides to raise the new capital ($15 million) through perpetual debt (instead of a rights-issue)? Assume corporate tax rate is 35%.

Boxes  A ( 5.00 kg ) and B( 14.00 kg , to the right of A) move on a frictionless, horizontal surface. Box BBis traveling to the left at 0.500 m/s, and box A is traveling to the right at 2.00 m/s initially. The boxes are attached with ideal spring bumpers. Eventually, they have head-on collision. consider that all motion before and after it is along a horizontal axis. Assume that  +x is the direction of the initial motion of A.

A-)Find the maximum energy stored in the spring bumpers.

B-)Calculate the velocity of block A when the energy stored in the spring bumpers is maximum.

C-)Calculate the velocity of block B when the energy stored in the spring bumpers is maximum.

D-)Calculate the velocity of block A after the blocks have moved apart.

E-)Calculate the velocity of block B after the blocks have moved apart.

Boxes A 7.00 kg and B 15.00 kg , to the right of A move on a frictionless, horizontal surface. Box B is traveling to the left at 0.500 m/s, and box A is traveling to the right at 2.00 m/s initially. The boxes are attached with ideal spring bumpers. Eventually, they have head-on collision. consider that all motion before and after it is along a horizontal axis. Assume that +x is the direction of the initial motion of A.
a) Find the maximum energy stored in the spring bumpers.
b) Calculate the velocity of block A when the energy stored in the spring bumpers is maximum.
c) Calculate the velocity of block B when the energy stored in the spring bumpers is maximum.
d)Calculate the velocity of block A after the blocks have moved apart.
e) Calculate the velocity of block B after the blocks have moved apart.

1.An investor buys a 9-year, 6.9% annual coupon bond at par ($100). After the purchase and before the first coupon is received, interest rates increase to 8.9% (assume a flat spot rate curve). The investor sells the bond after 7 years (right after receiving the 7th coupon payment). What is this investor's realized annual return in these 7 years?

Assume annual compounding, and that interest rates remain at 8.9% over the entire holding period.

2.An investor with an investment horizon of 1.0 year purchases a 8% coupon bond with 2 years to maturity and a face value of $100? The bond is trading at a yield of 5%. Coupons are paid semi-annually. What is this investor's duration gap?

Assume semi-annual compounding. Round your answer to 4 decimal places.

Knarfappaz Co. pays no taxes and is financed entirely by common stock. The stock has a beta of 0.8 and a price-earnings ratio of 12.5 and is priced to offer an 8% expected return. Knarfappaz now decides to repurchase half the common stock and substitute an equal value of debt. If the debt yields a riskfree 5%, calculate: A. The beta of the common stock after the refinancing; B. The required return and risk premium on the stock before the refinancing; C. The required return and risk premium on the stock after the refinancing; D. The required return on the debt; E. The required return on the company (i.e., stock and debt combined) after the refinancing. Assume that the operating profit of the firm is expected to remain constant in perpetuity. Give: F. The percentage increase in expected earnings per share; G. The new price/earnings ratio (P/E).

n a test of the effectiveness of garlic for lowering​ cholesterol, 48 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol​ (in mg/dL) have a mean of 4.8 and a standard deviation of 17.6. Complete parts​ (a) and​ (b) below.

a)What is the best point estimate of the population mean net change in LDL cholesterol after the garlic​ treatment?

b)Construct a 95​% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL​ cholesterol? What is the confidence interval estimate of the population mean μ​?

c)What does the confidence interval suggest about the effectiveness of the​ treatment?

Reese, a calendar-year taxpayer, uses the cash method of accounting for her sole proprietorship. In late December, she received a $35,000 bill from her accountant for consulting services related to her small business. Reese can pay the $35,000 bill anytime before January 30 of next year without penalty. Assume Reese’s marginal tax rate is 30 percent this year and will be 40 percent next year, and that she can earn an after-tax rate of return of 10 percent on her investments.

a. What is the after-tax cost if she pays the $35,000 bill in December?

b.What is the after-tax cost if she pays the $35,000 bill in January?

c. Based on requirement a and b, should Reese pay the $35,000 bill in December or January?

An existing 36-inch diameter concrete gravity sewer installed on a slope of 0.25% currently conveys a peak flow rate of 12 cfs. A builder proposes to connect a new residential development to this existing sewer. Projected peak flow from this new development is 4 cfs.

a) Depth of flow in sewer before new development is connected

b) Depth of flow in sewer after new development is connected

c) Flow velocity in sewer after new development is connected

d) Flow type (critical, subcritical or supercritical) after new development is connected

e) Diameter of a sewer to convey combined peak flow of 16 cfs if maximum allowable D/d is 0.85 (i.e. assume you are designing new sewer on the same 0.25% slope)