Various derivations of the word "algebra‚" which is of Arabian origin‚ have been given by different writers. The first mention of the word is to be found in the title of a work by Mahommed ben Musa al-Khwarizmi (Hovarezmi)‚ who flourished about the beginning of the 9th century. The full title is ilm al-jebr wa’l-muqabala‚ which contains the ideas of restitution and comparison‚ or opposition and comparison‚ or resolution and equation‚ jebr being derived from the verb jabara‚ to reunite‚ and muqabala
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Problem Set Seven Solutions Chapter 9 1. Two car manufacturers‚ Saab and Volvo‚ have fixed costs of $1 billion and constant marginal costs of $10‚000 per car. If Saab produces 50‚000 cars per year and Volvo produces 200‚000‚ calculate the average fixed cost and average total cost for each company. On the basis of these costs‚ which company’s market share should grow in relative terms? Answer: Average total cost is average fixed cost plus marginal cost: ATC = FC/Q + MC. Volvo’s average fixed cost
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Department of Economics University of California‚ Berkeley Fall 2012 Econ 182 Solutions Problem Set 8 Problem 1. Exchange Rates and International Transmission a. Suppose that the US engages in a monetary expansion. Since exchange rate is pegged to the US dollar‚ country X’s monetary authorities are forced to expand their money supply as well (recall that i = i* under FixER). Interest rates fall in country X‚ output expands‚ and of course the exchange rate remains unchanged. On the AA-DD diagram
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Chapter 13 Problems (2‚ 9‚ 11‚ & 14) 2) Determine the coefficient of correlation and the coefficient of determination. Interpret the association between X and Y. X Y x^2 xy 5 13 25 65 3 15 9 45 6 7 36 42 3 12 9 36 4 13 16 52 4 11 16 44 6 9 36 54 8 5 64 40 39 85 211 378 r = (378) - (39)(85) / 8 = -36.375 √[211 - (39)^2 / 8] *
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Algebra Review 1. Evaluate the expression 1 2 17 B) − 2 1 C) 2 17 D) 2 3a + 2b when a = -3 and b = -4. 2 A) − 2. Simplify: A) B) C) D) 17 29 16 30 3+5• 6 −4 3. Simplify: A) 40 B) 18 C) 34 D) 12 Evaluate: 1 7 − 1 5 − 1 5 1 7 6 − 2 • 2 + 25 4. 3x − y if x = 2‚ y = 8‚ and z = –2. 6z − x A) B) C) D) CPT Review 4/17/01 1 5. Simplify: A) B) C) D) –2 2 11 2 11 − 2 14 − 30 2(− 4 ) 6. Use the distributive property to simplify. A) B) C) D) − 4x + 30 −
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coal is extremely variable through the horizontal and vertical directions‚ which entails the precise planning of coal blending during the mining and stockpiling stages. Otherwise‚ a large penalty has to be paid to the power plant. In this study‚ the objective is to match the calorific values required by the power plant. The quality features and production capacities of coal from different panels are determined and are used in quality constraints. The power plant requires coal in two groups‚ which are
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Abstract There are many methods employed to precipitate proteins out of solution. In this experiment we manipulated many physical and chemical variables in order to achieve purification of a protein via precipitation. In the first part of the experiment we purified the protein casein by modifying it’s pH. In the second part of the experiment we manipulated the ionic strength of albumin in egg whites‚ in a process called salting out. By manipulating these chemical properties we were able to
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The Tegan / Hrad Write-Up SECTION 1: Was outsourcing the A/P project the right move for Tegan given the other possible alternatives? Outsourcing has seemed to acquire a rise in popularity and usage in our modern times. Outsourcing involves entering into a contract in which an in-house company process‚ or processes‚ is ultimately handed over and dealt with from a third party’s perspective. I would have to say that there are three primary‚ helpful factors to outsourcing‚ especially when it comes
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Equations of State (EoS) Equations of State • From molecular considerations‚ identify which intermolecular interactions are significant (including estimating relative strengths of dipole moments‚ polarizability‚ etc.) • Apply simple rules for calculating P‚ v‚ or T ◦ Calculate P‚ v‚ or T from non-ideal equations of state (cubic equations‚ the virial equation‚ compressibility charts‚ and ThermoSolver) ◦ Apply the Rackett equation‚ the thermal expansion coefficient‚ and the isothermal compressibility
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FIN 350 Prof. Porter Problem Set 4 1. Describe what happens to the total risk of a portfolio as the number of securities is increased. Differentiate between systematic risk and unsystematic risk and explain how total risk and systematic risk are measured. As the number of securities increases‚ the total risk of the portfolio decreases. This decrease occurs due to the benefits of diversification which is the process of acquiring a portfolio of securities that have dissimilar risk-return characteristics
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