A mass is moving at 10 m/s in the +x direction and it collides in a perfectly elastic collision with a mass of 2 kg moving in the -x direction. The collision takes places in 0.21 seconds and after the collision the mass that was moving in the +x direction is moving in the -x direction at 9 m/s and the mass that was moving in the -x direction is moving in the +x direction at 13 m/s. What is the magnitude of the average force, in Newtons, on the first mass which was originally moving in the +x direction before the collision?

                                  
   Paired Observation                              
                                  
   Try this paired observation at 5% significance.                              
                                  
   After   310   305   284   305   291   288   291   297
   Before   285   290   278   298   284   285   288   295
                                  
                                  
   Ho: μd = 0                              
   Ha: μd = 0                              
                                  
                                  
                                  
   Using the calculator, find standard deviation of the differences.                              
       sample standard deviation =                           
                                  
                                  
two tail, 0.05, df=7      

tcrit =? alpha =?   
                                  
       tstat =? pvalue =?   
           Reject       Reject              
                                  
                                  
   tstat =    dbar - μd =?   
       sd / √n                          
                                  
   Decision:                                

Section C. Arc Consistency

Consider the following constraint network.

10. If the variables A, B and C each have the domain {1,2,3,4} before arc consistency is run, indicate what their domains will be after arc consistency has finished:

A = {               }

B = {    }

C = {                         }

11. If we have just considered the edge <B, A < B> and reduce the domain of B as a result, do we need to add any arcs back to the To-Do Arcs list? If not, why not? If so, which edges?

??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?