EUROPEAN SCHOOL Mathematics Higher Level Portfolio Type 1 SHADOW FUNCTIONS Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Supervisor: Avtandil Gagnidze Session Year: 2013 May Candidate Name: Emil Abrahamyan Candidate Number: 006343-021 Mathematics Higher Level Type 1: Shadow Functions SHADOW FUNCTIONS The Aim of the Investigation: The overall aim of this investigation is to investigate different polynomials with different powers and create shadow function
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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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a) will be inconsistent; b) will have infinitely many solutions; c) will have exactly one solution. 6. Find all the values of a‚ for which the following homogeneous system has a non-trivial solution. Find the general solution in this case. 7. Propose an example of a REF of the augmented matrix of a system of 4 equations in 4 variables that (a) has a unique solution (b) has infinitely many solutions (c) is inconsistent. 8. For each of the following statements determine whether it is
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SEC 10- K Paper Acct 221 Lakesha Craft SEC 10-K Paper The first Starbucks coffee shop opened in 1971 in Seattle Washington. The coffee shop was founded by three partners. Jerry Baldwin and Zev Siegl were teachers and Gordon Bowker was a writer. The idea to have a coffee shop came about when a close friend was selling high quality coffee beans and equipment. After a matter of time‚ the partners decided to purchase the product from the grower. The coffee shop was named after
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Innovation and Creativity. [pdf] Available at: [Accessed 7 May 2013]. Brock‚ A.‚ Dodds‚ S.‚ Jarvis.‚ P. and Olusoga‚ Y.‚ 2009. Perspectives on Play: Learning for Life. London: Pearson. Cropley‚ 2001. Creativity in Education and Learning. London: Clays Ltd. Department for Children‚ Schools and Families‚ 2008. Independent Review of Mathematics Teaching In Early Years Setting and Primary Schools. [pdf] Nottingham: DCSF Publications. Avaiable at: [Accessed 7 May 2013]. Department for Education‚ 2000 Department
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no credit. Suggested grade boundaries for this paper: A* A B C D E 74 66 58 50 42 34 1. Find . (4) January 2008 2. Find ‚ giving each term in its simplest form. (4) January 2009 3. Expand and simplify (7 + 2)(7 – 2). (2) January 2009 4. y = 5x3 − + 2x − 3. (a) Find ‚ giving each term in its simplest form. (4) (b) Find . (2) May 2012 5. Find the set of values of x for which (a) 2(3x + 4) > 1 – x‚ (2) (b) 3x2 + 8x – 3 <
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Math is one course that I enjoy learning a lot. I feel challenged every time I try to solve a math problem and I feel great being able to solve it the right way. I have been learning math from many years now and I have had many experiences‚ good and bad‚ some of which I would like to share. One of my greatest experiences in mathematics was in 12th grade when I had recently moved from New Jersey to Illinois. My dad’s shift in his job made us move to a suburb of Chicago- Palatine. I was afraid if
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solution for changing several parameters at once. F . 6. A negative shadow price indicates that the objective function decreases when the right hand side of a constraint increases. T . 7. For a profit maximization problem‚ if the allowable increase for a coefficient in the objective function is infinite‚ then profits are unbounded. T . MULTIPLE CHOICE – clearly indicate your response. 1. For a linear programming
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significant figure. a 8 000 000 = 8 ⋅ 106 2 The decimal point has been moved 6 places left. 6. b 1 Move the decimal point after the first significant figure. b 13 400 000 000 = 1.34 ⋅ 1010 2 The decimal point has been moved 10 places left. 7. c 1 Move the decimal point after the first significant figure. c 0.000 034 51 = 3.451 ⋅ 10-5 2 The decimal point has been moved 5 places right. Write each of the following measurements in scientific notation‚ correct to 3 significant figures. a
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says is from the preschool period to about age 6 or 7 children are too young to perform mental operations. An example of this is how children perceive a taller glass having more liquid inside than a shorter glass with larger sides even though both contain the equal amount of liquid‚ developmental phenomena in this stage would be pretend play‚ egocentrism‚ and language development. Next in the concrete operational stage which begins at age 6 or 7 they begin to grasp that change in shape doesn’t correlate
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