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A brass cube of side 10cm is heated through 30C.If the linear expansivity of brass is 2.0*10^-5K^-1 what is the increase in its volume


In which phase does natural science and technology split into two separate learning areas


A stockbroker gathers the following data. Stock FB splits two-for-one during the

period.


Beginning of Period  End of period

Stock  Price ($) Shares  Price ($) Shares

TA  31  6,000  29  6,000 

FB  92  300  54  600 

ZM  42  2,200  43  2,200


a. Calculate the returns on both the price-weighted index and the market value-

weighted index of three stocks over the period.


b. Explain the difference in returns between the two indexes.


Which natural science strand in the senior phase develops into life science in grade 10


The following table shows a partial listing of T-bills from the Wall Street Journal

Outline. Rather than providing prices of each bill, the financial press reports yields using the bank-discount method. The face value of T-bill is $10,000.


Treasury Bills

August 6, 2021

 Maturity  Bid (%)  Asked (%)

9/2/2021  0.040  0.030

9/9/2021  0.045  0.035

9/16/2021  0.043  0.033

9/23/2021  0.048  0.038


Consider the bill maturing on September 23.

a. What is the price at which the dealer is willing to buy assuming days to

maturity are 48 days?


b. What is the bond equivalent yield if you purchase the bill?


Explain each of the following statements using supply-and-demand diagrams.


a) “When a cold snap hits Florida, the price of orange juice rises in supermarkets throughout the country.”


b) “When the weather turns warm in New England every summer, the price of hotel rooms in Caribbean resorts plummets.”


c) “A strike by steelworkers raises steel prices.”


d) “The price of station wagons rises.”



 You are bearish on TSM and decide to sell short 2,000 shares at the current market price of $68 per share. TSM pays no dividends.

a. How much in cash or securities must you put into your brokerage account if the initial margin requirement is 60%?

b. If you earn no interest on the funds in your margin account, what will be your rate of return after a week if TSM is selling at $56 per share? c. How high can the price of the stock go before you get a margin call if the maintenance margin is 40%? 


You are bullish on RVH stock. The current market price is $50 per share, and you have $600,000 of your own to invest. You borrow an additional $400,000 from your broker at an interest rate of 3% per week and invest $1,000,000 in the stock. RVH pays no dividends.


a. Suppose the price of RVH stock falls immediately after your purchase. The maintenance margin is 30%. How low can the price of RVH stock fall before you receive a margin call?

b. Suppose a week has passed. What is your rate of return if the price of RVH stock has gone up by 20%? 


 the mean working hours of 400 college teachers was found to be 15.7 hours with standard deviation of 1.5 hours. test the hypothesis that the mean working hours is 16 hours against the hypothesis that it is greater than 16hrs at 1% level of significance


Two coins are tossed and the random variable Z gives the number of heads. Find the range space, possible outcomes, and give the table of values.


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