Math Review for the Quantitative Reasoning Measure of the GRE® revised General Test www.ets.org Overview This Math Review will familiarize you with the mathematical skills and concepts that are important to understand in order to solve problems and to reason quantitatively on the Quantitative Reasoning measure of the GRE revised General Test. The following material includes many definitions‚ properties‚ and examples‚ as well as a set of exercises (with answers) at the end of each
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Coursework 2 Mathematical Finance Group 27 Q1. Hedging in Complete and Incomplete market Solution: Complete market Suppose we have m states. A complete market A is one with the marketed subspace Span(A.1‚A.2‚ ⋯‚ A.n) includes all possible payoffs over the m states‚ i.e.‚ if it contains all possible m-dimensional vectors. Incomplete market Suppose we have m states. An incomplete market corresponds to a market with fewer linear independent
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I‚ Too All over world are people treated bad‚ treated like a thing which is not worth anything. All over the world people are getting treated differently‚ not because of their personality‚ but because of the color of their skin. This is called racism‚ which is the main subject in the poem “I‚ Too” written by Langston Hughes in 1932. In 1932 black people were not accepted. They were discriminated against by white people. They were killed for no reasons‚ separated from the white world‚ forced to
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[pic] A parallelogram is a quadrilateral in which pairs of opposite sides are parallel and are congruent. Opposite sides are parallel and equal in length‚ and opposite angles are equal (angles "a" are the same‚ and angles "b" are the same) NOTE: Squares‚ Rectangles and Rhombuses are all Parallelograms! Name the kind of parallelogram this figure displays? Example 1: [pic] |[pic] |A parallelogram with: | |
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Sullivan’s Handbags marks up their bags at 45% of the selling price. Pat Sullivan saw a bag at a trade show that she would sell to her customers for $85. What is the most she could pay for the bag and still retain the 45% markup of the selling price? 6. Jeff Jones earns $1‚200 per week. He is married and claims four withholding allowances. The FICA rate is as follows: Social Security rate is 6.2% on $97‚500; Medicare rate is 1.45%. To date his cumulative wages are $6‚000. Each paycheck‚
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1. Solve a. e^.05t = 1600 0.05t = ln(1600) 0.05t = 7.378 t = 7.378/.05 t = 147.56 b. ln(4x)=3 4x = e^3 x = e^3/4 x = 5.02 c. log2(8 – 6x) = 5 8-6x = 2^5 8-6x = 32 6x = 8-32 x = -24/6 x = -4 d. 4 + 5e-x = 0 5e^(-x) = -4 e^(-x) = -4/5 no solution‚ e cannot have a negative answer 2. Describe the transformations on the following graph of f (x) log( x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example‚ vertical shift
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Centre Number For Examiner’s Use Candidate Number Surname Other Names Examiner’s Initials Candidate Signature Pages General Certificate of Secondary Education Higher Tier June 2014 Mark 3 4–5 6–7 Mathematics (Linear) 4365/1H H Paper 1 Monday 9 June 2014 9.00 am to 10.30 am For this paper you must have: 8–9 10 – 11 12 – 13 14 – 15 16 – 17 mathematical instruments. 18 – 19 You must not use a calculator 20 – 21 Time allowed 1 hour 30 minutes 22 – 23 TOTAL Instructions Use black
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Module 8 Business Decisions Capital Gains Page 705‚ question 30 30A- How much tax will you have saved by waiting? $1‚250 $25‚000 X .10 = $2‚500 $25‚000 X .15 = $3‚750 $3‚750 - $2‚500 = $1‚250 30B- How much would you save in 36% bracket? Between $2‚000 to $4‚400 $25‚000 X .20 = $5‚000 $25‚000 X .28 = $7‚000 to $9‚900 $7‚000 - $5‚000 = $2‚000 $9‚900 - $5‚000 = $4‚400 Interpreting the numbers Page 743‚ Question 20 2‚300 2‚430‚ 2‚018‚ 2‚540‚ 2‚675‚ 4‚800
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Understanding What You Read – Week 3 Week 3- Chapter 5- Understanding Your Customer 1. Identify demographic trends that are occurring in the United States‚ related to (a) number of single-person households‚ (b) median age for marriage‚ (c) birthrate‚ (d) U.S. population growth‚ and (e) number of male homemakers. Single person households are showing the greatest increase in numbers and that trend is projected to continue. Birthrate has remained relatively stable in the United States since
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let f(x) be a quadratic polynomial such that that f(2)= -3 and f(-2)=21‚ then the co-efficient of x in f(x) is a. -3 b. 0 c. -6 d. 2 1. if f(x) =x3 +ax+b is divisible by (x-1) 2 ‚then the remainder obtained when f(x) is divided by (x+2) is ; a. 1 b . 0 c. 3 d. -10 3. the remainder when x1999 is divided
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