acceleration due to gravity at the Earth’s surface (g) g’ = (re2 / r2) g Acceleration due to gravity inside the Earth Here let r represent the radius of the point inside the earth. The formula for finding out the acceleration due to gravity at this point becomes: g’ = ( r / re )g In both the above formulas‚ as expected‚ g’ becomes equal to g when r = re. PROPERTIES OF MATTER Density The mass of a substance contained in unit volume is its density
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Formula Sheet for the Corporate Finance Final Examination Paper 1. r = cost of capital t = year 2. Pure Play approach bL = bU[1 + (1 – T)(D/E)] bL = levered beta bU = unlevered beta T = tax rate D/E = debt to equity ratio 3. Firm value Rs = Cost of equity G = cash flow growth rate 4. rRF = the risk-free interest rate RPM = the expected market risk premium on an average stock = rM – rRF rM = the expected return on the market portfolio
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Problem: Reference : Kasavana Brooks‚ 5th Edition‚ Pg. 351 Hubbart Formula Approach‚ Room Pricing The Casa Vana Inn‚ a 200 room property‚ is projected to cost $9‚900‚000 inclusive of land‚ building‚ equipment‚ and furniture. An additional $100‚000 is needed for working capital‚ bringing the total cost of construction and opening to $10‚000‚000. The hotel is financed with a loan of $7‚500‚000 at 12% annual interest and cash of $2‚500‚000 provided by the owners. The owners desire a 15% annual return
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Metering Formula 1. Meter Multiplier Meter Multiplier - the multiplier applied to the register reading to obtain kilowatt-hours. M = Kh X Rr X Rs X CTR X VTR 10‚000 Where ; Kh = watt-hour constant of the meter in watt-hour per revolution Rr = register ratio = the number of revolutions of the register worm wheel for a revolution of the first dial pointer (right hand). Rs = gear ratio = the number of revolution of the disk for one revolution of the first point CTR = current transformer
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Assets = Liabilities + Shareholders’ equity Revenues – Expenses = Income Cash flow from assets = Cash flow to bondholders + Cash flow to shareholders Current ratio = Current assets/Current liabilities Quick ratio = Current assets – Inventory Current liabilities [2.1] [2.2] [2.3] [3.1] [3.2] [3.3] [3.4] [3.5] [3.6] Cash ratio = Cash/Current liabilities Net working capital to total assets = Net working capital/Total assets Interval measure = Current assets/Average daily operating costs Total
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1) Describe two main differences between classical and empirical probabilities. a. Classical probabilities are based on assumptions; Empirical probabilities are based on observations. b. Classical probabilities do not require an action to take place; Empirical probabilities have to have been “performed”. 2) Gather 16 to 30 coins. Shake and empty bag of coins 10 times and tally up how many head and tails are showing. Number of coins: 20 * Consider the first toss‚ what is the
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Mary Llyresa M. Magsino E3A 1. Discuss the conflict of autonomy and accountability in academic research. The conflict of autonomy and accountability in academic research in academic research is that independence and responsibility are two different things. The conflict in the academic research is that the academic’s research impact has a controversy with the European autonomy of universities. The autonomy is challenged to demonstrate the economic impact on the universities from
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Syllabus 323063 Empirical Methods in Finance‚ September – December 2013 Teachers (* course coordinator) prof. dr. F.C.J.M. de Jong Room K941 email: f.dejong@uvt.nl dr. J.C. Rodriguez* Room K909 email: j.c.rodriguez@uvt.nl dr. O. Spalt Room K940 email: o.g.spalt@uvt.nl Teaching Assistants Tamasz Barko (t.barko@tilburguniversity.edu) Andreas Rapp (a.c.rapp@tilburguniversity.edu) Zorka Simon (z.simon@tilburguniversity.edu) Lectures: (2 lectures a week) According to the study guide
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Formulas (to differential equations) Math. A3‚ Midterm Test I. sin2 x + cos2 x = 1 sin(x ± y) = sin x cos y ± cos x sin y tan(x ± y) = tan x±tan y 1∓tan x·tan y differentiation rules: (cu) = cu ′ ′ ′ ′ ′ (c is constant) cos(x ± y) = cos x cos y ∓ sin x sin y (u + v) = u + v (uv)′ = u′ v + uv ′ ′ ′ u ′ = u v−uv v v2 df dg d dx f (g(x)) = dg dx sin 2x = 2 sin x cos x tan 2x = sin x = 2 cos 2x = cos2 x − sin2 x 2 tan x 1−tan2 x 1−cos 2x ‚ 2 integration rules: cos x = 2
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DERIVATION OF FORMULAS constant acceleration In order to be accurate‚ the title of this section should be "One Dimensional Equations of Motion for Constant Acceleration". Given that such a title would be a stylistic nightmare‚ let me begin this section with the following qualification. The equations of motion are valid only when acceleration is constant and motion is constrained to a straight line. Given that we live in a three dimensional universe in which the only constant is change‚ you may
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