Numerade

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Use the following data to calculate your stock value. Note the following: ROE = NI / Total equityPayout ratio = total cash dividends / NIRecent total dividend payments were $55MillionThere are 10million shares outstanding.T-bill rate is 3.0%, S&P500 mkt return was 10.00%, and beta of this company is 1.5.equity beta of this company is 1.5. Balance sheet (in millions) of 2020 and 2021 2020 2021 2020 2021 Current Assets 380 450 Current liabilities 150 200 Fixed Asset 600 500 Fixed Debt 380 250 Total equity 450 500 Total Asset 980 950 Total liabilities+equity 980 950 Income Statement (in millions) of 2021 Revenue 500 all expenses -200 EBIT 300 Interest expense -100 EBT 200 Tax -90 NI = 110 YEARDIVIDEND per share2016$4.502017$4.902018$5.002019$5.102020$5.202021$5.50 FOR QUESTIONS #A - #C, You assume a constant perpetual growth model is appropriate for your stock valuation. Question #A. Using the sustainable growth rate to estimate the growth rate, what should be the stock value per share? Question #B. Using the arithmetic average growth rate to estimate the growth rate, what should be the stock value per share? Question #C. Using the geometric average growth rate to estimate the growth rate, what should be the stock value per share?

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combustion of octane: $C_8H_{18}(l) + O_2(g) \rightarrow 16CO_2(g) + 18H_2O(g)$

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Externalities are a major cause of market failure and occur in nearly every market - be clear on effects for producers and consumers

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1. (2 points) Find the domain of the function $f(x, y, z) = \sqrt{16 - x^2 - y^2 - z^2}$

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Find the derivative of the following function. $y = 2\sin^{-1}(4x^3)$ $\frac{dy}{dx} = $

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7. Explain why under the fixed exchange rate the Central Bank gives up monetary policy as a policy instrument.

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Instruction: Attempt all 6 questions worth 35 marks. Show ALL necessary working sequentially and neatly. The final answer is only 1/2 of the total mark. Late (1 day only) submission is penalized with a 10% deduction. Q1. a) Simplify ((x^2y^(-2/3))/(x^(-1/2)y^3))^(-1/7) and write the answers with only positive exponents. [2] b) State all the algebraic properties used in solving for x, 3x - 4 - 3x = 2 - x. c) Rationalize the denominator 5/(√(8)(x)). Q2 a) Factor by grouping x^5 + x - 2x^4 - 2. b) Factorize x^2 + 5√3x + 12 [hint: split the middle term then factorize by grouping]. [3] Q3 The sum of the first n terms of a series is given by S_n = 2n(n+3). Show that the terms of the series form an arithmetic progression and find the nth term of the series. Q4 Factorize completely y^8 + 64. Q5 a) Solve the inequality -2(m-3) < 5(m+1) - 12. Give both the inequality and interval notation forms of the solution. [3] b) Express as a single logarithm 3lnx - 2ln(x-1) + ln(∛(x+1)). Q6 f(x) = x^4 + 5x^3 + ax + b, where a and b are constants. The remainder when f(x) is divided by (x-2) is equal to the remainder when f(x) is divided by (x+1). a) Find the value of a. Given that (x+3) is a factor of f(x), b) find the value of b.

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It should be pointed out that Black nationalism is fundamentally different from white nationalism. Black nationalism is the nationalism of an oppressed nationality and expressed the desire of Black people to be free. White nationalism is chauvinistic, includes racism and is never a progressive force. Black nationalism can be positive or negative, but white nationalism is always reactionary Group of answer choices True False

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Which of the following is a result of applying the method of integrating factors to $\frac{dy}{dt} = -\frac{y}{t} + 12e^t$? y = t \cdot \int \frac{12e^t}{t} dt y = \frac{1}{t} \int \frac{12e^t}{t} dt y = t \cdot \int 12te^t dt y = \frac{1}{t} \int 12te^t dt y = \frac{1}{t} \int 12e^t dt

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LecPop02 1. Given a vector $v$, the magnitude of the unit vector $u_v$ is a. The same as the original vector b. 0 c. 1 d. Cannot be determined

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