I am playing pool and i hit a trick shot. I hit the ball at an angle 55 degrees. with a force of 10 newtons for .4seconds. The ball ihas a radius of 0.05m and a mass of .150kg. and the coeeficient of kinetic friction is 0.3.

1) determine the initial linear and angular velocity after i hit the ball? determine the distance the ball travels after it it and before it goes back? Determine the final velocity? answer all.

1. Differentiate between each of the following terms:                                                                (6)
   1. Earnings Yield,
   2. Dividend Yield,
   3. PE Ratio.
2. List four most important factors that would influence an investment analyst in the rating

of PE ratios.                                                                                                                            (4)

3. The firm projects a ROE of 25%; it will maintain a plowback ratio of 0.3. The firm is

expecting earning of R5 per share and investors expect a return of 10% on the stock.

What is the expected price and P/E ratio of the firm?

The demand, D, for parts at a repair bench per day can be described by the following discrete PMF:

Generate the demand for the first 4 days using the following numbers (starting with the first row)

Based on the following data;

(a) calculate the expected return and the standard deviation of returns for each stock.

State of the Economy         Probability      Stock A Rate of Return   Stock B Rate of Return

Recession                                  0.25                                 6%                                 -20%

Normal Growth 0.45                                7%                                  13%

Boom                                         0.3                                 11%                                   33%      

(b) Calculate the expected return and the standard deviation on the portfolio, where

the portfolio is formed by investing 65% of the funds in Stock A and the rest in Stock B

P(W)= 0.3 P(low/W) = 0.50 P(low/S) = 0.10 P(S)= 0.7 P(medium/W)= 0.40 P(medium/S)= 0.25 P(high/W) = 0.10 P(high/S) = 0.65 BDSC 340.001-3 d) Construct a decision tree for this problem and analyze it. e) What is McHuffter’s optimal decision? f) What is the expected value of the survey(sample) information?

1 - What is the range, expected rate of return, variance, and standard deviation of the information below?

2 - A stock has a beta of 1.65, risk-free rate of return of 0.04, and a market risk premium of 0.15. What is the required rate of return?

A 3 phase 6 pole, asynchronous AC motor

stator resistance 0.34 ohms

rotor resistance 0.12 ohms

stator inductance of 0.5H

rotor inductance of 0.2H

magnetizing inductance 12.35

a)Draw the equivalent electrical circuit for this motor for 1 phase

b) is slip s=0.3 find the speed, torque, current at the stator and efficiency if the voltage supply is 240V per phase at 70 Hz with a Wye connection

Suppose X has probability distribution

x: 0 1 2 3 4

P(X = x) 0.2 0.1 0.2 0.2 0.3

Find the following probabilities:

a. P(X < 2)

b. P(X ≤ 2 and X < 4)

c. P(X ≤ 2 and X ≥ 1)

d. P(X = 1 or X ≤ 3)

e. P(X = 2 given X ≤ 2)

A point charge q = 40 nC has a velocity 3* 106 m/s in the direction av = 0.2 ax + 0.75 ay – 0.3 az. Calculate;
a) The magnitude of the force on the charge due to the field B = 3ax + - 4ay + 6az mT.
b) The magnitude of the force on the charge due to the field E = -2ax + 4ay + 5az kV/m
c) The Lorentz force due to the two fields in (i) and (ii) above.

Fill out table and show all calculations

Final             Volume of              Volume of               Volume of       Final volume (uL)

[PNPP] mM   0.5mM PNPP(ul)   0.2M Tris-HCl(ul)   enzyme (uL)

0.01                                                                            100                        1500

0.02                                                                             100                       1500

0.04                                                                             100                         1500

0.06                                                                            100                            1500

0.08                                                                            100                              1500

0.1                                                                           100                             1500

0.2                                                                              100                               1500

0.3                                                                           100                               1500

0.4                                                                             100                                1500