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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
3.1 Calculate the weighted average cost of capital using Gordon growth model to
calculate the cost of equity.
Find the general solution of the given differential equation.
(x + 1) dy/dx + (x + 2)y = 2xe^−x
Write processes which occur on inert electrodes during electrolysis of FeCl3 and Ca(No3)2 acqueos solution
Phosphorous acid (H3PO3) can be prepared from phosphorus triiodide (PI3) according to the reaction:
〖PI〗_3 (s)+ H_2 O (l)→H_3 〖PO〗_3 (aq)+HI (g)
Balance the equation. If 150 grams of 〖PI〗_3 (MM = 411.7 g/mol) is added to 250 mL of H2O (MM = 18.01 g/mol, ρ=1.00 g/mL), identify the limiting and excess reagents. How many grams of H3PO3 (MM = 81.99 g/mol) will be theoretically produced?
You have 80 grams of a radioactive kind of tellurium. How much will be left after 8 months if its half-life is 2 months?
What is consciences and what are the functions of consciousness
You have 80 grams of a radioactive kind of tellurium. How much will be left after 8 months if its half-life is 2 months?
Let P(t) be the population of a certain animal species. Assume the
P(t) satisfies the logistic growth equation,
dP
dt = 0.2P(t) (1 −
P(t)
200) , y(0) = 150
a) Is the above equation autonomous? if yes (explain your answer with
proper reasons), if no (justify you answer).
b) Solve the above initial value problem, and find the value of solution at
time t = 0.5 using separation of variables
Consider the autonomous DE xʹ = x(x − 1)(x+ 2). Determine the
critical points of the equation. Discuss a way of obtaining a phase portrait
of the equation.
6. The owner of a car wash is trying to decide on the number of people to employ based on
the following short-run production function:
Q 5 6L 2 0.5L2
where Q 5 Number of car washes per hour
L 5 Number of workers
a. Generate a schedule showing total product, average product, and marginal product.
Plot this schedule on a graph.
b. Suppose the price of a basic car wash (no undercoating, no wax treatment, etc.)
in his area of business is $5. How many people should he hire if he pays each
worker $6/hour?
c. Suppose he considers hiring students on a part-time basis for $4/hour. Do you think
he should hire more workers at this lower rate? Explain
