??A? U.S.-based MNC has a foreign subsidiary that earns $ 252000 before local? taxes, with all the? after-tax funds to be available to the parent in the form of dividends. The applicable taxes consist of a 33 % foreign income tax? rate, a foreign dividend withholding tax rate of 9.6 %?, and a U.S. tax rate of 30 %. Calculate the net funds available to the parent MNC? if:

a.??Foreign taxes can be applied as a credit against the? MNC's U.S. tax liability.

b.??No tax credits are allowed.

Two trains face each other on adjacent tracks. They are initially at rest, and their front ends are 33 m apart. The train on the left accelerates rightward at 1.06 m/s². The train on the right accelerates leftward at 1.02 m/s².

(a) How far does the train on the left travel before the front ends of the trains pass?
m

(b) If the trains are each 150 m in length, how long after the start are they completely past one another, assuming their accelerations are constant?
s

A project requires an initial investment of $100,000 and is expected to produce a cash inflow before tax of $26,600 per year for five years. Company A has substantial accumulated tax losses and is unlikely to pay taxes in the foreseeable future. Company B pays corporate taxes at a rate of 21% and can claim 100% bonus depreciation on the investment. Suppose the opportunity cost of capital is 9%. Ignore inflation. Calculate the NPV for each company. What is the IRR of the after-tax cash flows for each company?

Four unbiased coins, a quarter (25 cent coin), a dime (10 cents coin) and two different nickles (5 cent coins, one minted before year 2000 and other after Year 2000) are tossed simultaneously. If a head shows up on any coin, you are paid the amount on the coin but for tail, you are paid no money for that coin. Find the probability that upon a single simultaneous toss of all four coins, you are paid a total of 35 cents or more

Two people are headed towards each other on skateboards and experience very little friction or airresistance. One person has massm1= 40 kg and one has mass m2= 80 kg. If they are going equal velocities(v = 3 m/s)before the collision, which direction will they be going afterward? How fast?What if we allow the lighter person to start off on a hill of height h. What should h be so that after the collision both skateboarders have stopped?

Suppose E-M Corp. (EMC) has perpetual earnings before interest and taxes (EBIT) of $10 million per year. E-M’s unlevered cost of equity is 12%. EMC is subject to a corporate tax rate of 40%. It has $30 million in permanent debt in its capital structure, and the (pre-tax) cost of debt is 7% (EAR).

What is the after-tax WACC of E-M Corp.?

Select one:

7.99%

9.12%

7.79%

12.00%

14.80%

9.68%

10.49%

8.58%

Colter Steel has $4,750,000 in assets.

Short-term rates are 11 percent. Long-term rates are 16 percent. Earnings before interest and taxes are $1,010,000. The tax rate is 30 percent.

If long-term financing is perfectly matched (synchronized) with long-term asset needs, and the same is true of short-term financing, what will earnings after taxes be?

3. The time T required to receive a message at node B from node A is an exponentially distributed random variable with mean 1/10 (milliseconds). The time T is measured from the moment that a message left node A to the moment that it was received by node B.

a) What is the probability that T exceeds 105 milliseconds?

b) What is the probability that a message is received after 200 milliseconds given that no message was received before 95 milliseconds? That is, calculate: P(T > 200 | T 95):

Andrew V. Omit was admitted to the hospital after he was suffering from nausea, vomiting, blurry vision, speech difficulties, and general weakness. In the two days before he was admitted, he developed double vision and breathing difficulties. It was later found that he had consumed food contaminated with Clostridium botulinum.

a)      What is he suffering from?

b)      What is the mechanism of action of this disease?

c)      Can this bacterium be used for cosmetic treatments? What are the risks associated with its medical use?