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A researcher claims that the mean monthly consumption of coffee per person is more than 19 cups. In a sample of 60 randomly selected people, the mean monthly consumption was 20. The standard deviation 10 of the sample was 4 cups. Which is the parameter to be tested in this claim? *


A population consist of three numbers (3,4,7).Consider all possible samples of size 2 which can be drawn from the population.Find the variance of the sampling distribution of the sample means

Sara likes consume Bananas (X) and Mangoes (Y). The cost of banana is birr 2 and that of Mango is bírr 4. Sara's monthly budget for these fruit is birr 100 and her utility function is U(X,Y) = X ^ 2 * Y ^ 1/2,Then calculate Utility maximizing units of Bananas and Mangoes.



The directors of Thor Limited have appointed you as their financial consultant. They are considering new investment projects and need you to calculate the cost of capital for the company.





The present capital structure is as follows;





2 000 000 ordinary shares with a par value of R1.00 per share. These shares are currently trading at R2.50 per share and the latest dividend paid is 40 cents. An average dividend growth of 9% is maintained.





1 500 000 8% R2.00 preference shares, with a market value of R1.80 per share.





R10 000 000 non- distributable reserves





R2 000 000 7% debentures due in 6 years time and the current yield to maturity is 10%, and R1 000 000 15% bank loan.





Additional information:





The company has a beta of 2.1 a risk free rate of 7% and a return of market of 16%. The company tax rate is 30%.





Required



3.2 Calculate the adjusted weighted average cost of capital using capital asset pricing model as the cost of equity. ​​ (13)



Write a detail note on applications of Differential Equation

Applications of Partial Differential Equation

Applications of Non-Homogeneous Differential Equation

Find the limit of the following functions using the tabular method.


  1. lim    x2+x-6x+3/ x+3

𝑥→−3


  1. lim x2-2x+3/ x+1   

𝑥→−1






A population consists of N=5, as follows: 4, 8, 12, 16, and 20. Estimate the population mean using


random variable of size n=3.

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