A 3.0 kg cart moving to the right with a speed of 1.0 m/s has a head-on collision with a 5.0 kg cart that is initially moving to the left with a speed of 2.0 m/s. After the collision, the 3.0 kg cart is moving to the left with a speed of 1.0 m/s.

a. What is the final velocity of the 5 kg cart?

b. Determine the speed of the center of mass of the two carts before and after the collision.

c. If instead, the two carts stuck together after the collision, what would be their common velocity?

d. Determine the amount of kinetic energy lost in the collisions described in (a) and (c). State the type of collision in parts (a) and (c) and suggest a reason for the loss of total energy after the collision.

1. Suppose the domestic U.S. beta of IBM is 1.0, the expected return on the U.S. market portfolio is 12 percent, and that the U.S. T-bill rate is 6 percent. At same time, suppose the world beta measure of IBM is 0.80 and the expected return on the world market portfolio is 14%.
   1. Find the cost of equity capital for IBM assuming that the U.S. market is fully integrated.
   2. Find the cost of equity capital for IBM assuming that the U.S. market is segmented
2. Blues, Inc. is a multinational corporation based in the U.S. Blues would like to estimate its weighted average cost of capital. On average, Blues pays a pre-tax rate of 9 percent for its debt. Currently, T-bill rates are 3 percent. The return on the S&P 500 stock index is expected to be 10 percent and the return on the world market portfolio is expected to be 14 percent. Furthermore, Blues’ stock has a domestic U.S. beta of 1.5 and a world beta of 1.2. Blues’ target capital structure is 30 percent debt and 70 percent equity. If Blues is in the 35 percent tax bracket,
   1. what is its weighted average cost of capital assuming that the U.S. market is fully integrated?
   2. what is its weighted average cost of capital assuming that the U.S. market is segmented?

In the current economic environment, if you had to allocate 20% of your portfolio of $1.0 Billion to Alternative Investments, what type of investment strategies you will select (specify, i.e. Distressed Hedge Funds) and why (provide reason).

A square footing 4 m × 4 m is located at a depth of 1.0 m in a layer of saturated clay 13 m thick, a firm stratum lies immediately below the clay. Characteristic parameters obtained from oedometer and triaxial tests for the clay are as follows: A= 0.42, cu =100 kPa, , u  0 c' 0, ' 32, 0.065 / , 2 mv  m MN 3  sat  21kN / m , Eu = 300cu. Determine the total settlement under the centre of the footing carrying a net pressure of 200 kPa using Skempton-Bjerrum method.

ABC Corp. is financed entirely by common stock and has a beta of 1.0. The firm is

     expected to generate a level, perpetual stream of earnings and dividends. The stock

    has a price–earnings ratio of 8 and a cost of equity of 12.5%. The company's stock is

    selling for $50. Now the firm decides to repurchase half of its shares and

     substitute an equal value of debt. The debt is risk-free, with a 5% interest rate.

    The company is exempt from corporate income taxes. Assuming MM are correct,

     calculate the following items after the refinancing:

1. The cost of equity.

2. The overall cost of capital (WACC).

3. The price–earnings ratio.

4. The stock price.

5. The stock's beta.

Please show work

A stock is expected to pay the following dividends: $1.0 in 1 year, $1.5 in 2 years, and $2.0 in 3 years, followed by growth in the dividend of 5% per year forever after that point. The stock's required return is 12%. The stock's current price (Price at year 0) should be $____________.

(C++) Write version 1.0 of the Rider class for the elevator simulation. Riders will "know" their starting floor and their destination floor. But instead of using pointers or reference variables as data members, they use whole number int s. (The simulation will have an array of floor objects to which all classes will have access, so all that's needed to refer to a floor is its index in the global array.)

Here's its specification:

1. As the only data members, two constant whole numbers representing the start and destination floors. Name then to and from , but as int s. (Two more data members will be added later.)

2. One constructor with two parameters -- the indexes of the start and destination floors, in that order, to be copied to the data members in an initializer list.

3. An overloaded assignment operator, so objects can be added to STL vectors and queues.

4. Write an H and a CPP. Don't write the constructor inline (because we'll add to it in a later version).

5. Since all members are public, write this as a struct .

The Rider class declaration for Rider.h,

Test it with this _testRider.cpp. Compile like this:

  c++ -std=c++11 _testRider.cpp Rider.cpp -Wall

This is not the first full and complete "building block" in our elevator simulation, but it's a start.

Submit Rider.cpp and Rider.h.

1.0 What is automated regression testing and why is it important in the agile project? Justify your answer.

2.0 What are the differences between small project teams addressing straightforward problems and 'out of the box,' large enterprise projects as related to Scrum?

It is known that 1 year old dogs have a mean gain in weight of 1.0 pound per month with a standard deviation of 0.40 pound. A special diet supplement, Helthpup, is given to a rando sample of 36, 1-year-old dogs for a month; their mean gain in weight is 2.15 pounds. At the 0.01 level of significance, does helthpup affect weight gain in 1-year-old dogs? (a) What is the research problem? (b) State null and alternative hypothesis (c) Is this one or two tail test? why? (d) what is the critical value? (e) what is the decision rule? (f) calculate the statistic (g) what is your decision regarding null hypothesis and why? (h)interpretation of the results?

Consider an equilateral triangle with sides measuring 1.0 m in length. At each point of the triangle is a +2.0 ?C charge. Calculate the Coulomb force on each charge. Recall that forces are vectors and thus your answer will require a magnitude and direction for each of the three forces.