X2

The University of Texas at San Antonio Connecting the Political Dots: How Level of Education Affects Political Party Affiliation Marcos D. Madrigal II Final Draft Pol. 270.003 Professor Effanbee Ayala Introduction The power of America lies within the heart of its people and the ability to have their voices heard. One of the best ways to accomplish this is through an electoral vote. By voting, the people of America or any Democratic country can control the route of the government and

˜ ˜ ˜ ˜ ˜ ˜ • If a and b are perpendicular vectors, then ˜ ˜ a.b = | a| |b| cos 90° = 0. ˜ ˜ ˜ ˜ • If the scalar product of two non-zero vectors is zero, then the vectors are perpendicular. • If a = x1 i + y1 j + z1 k, and b = x2 i + y2 j + z2 k, then ˜ ˜ ˜ ˜ ˜ ˜ ˜ a.b = x1x2 + y˜ y2 + z1z2. 1 ˜ ˜ • The angle between two vectors is determined by a .b cos θ = ------------ . ˜ ˜ a b ˜ ˜ 6 1: Vectors in two and three dimensions 1.7 Resolution of vectors • The scalar resolute

Question 1 A feasible solution violates at least one of the constraints. Answer True False 2 points Question 2 A linear programming model consists of only decision variables and constraints. Answer True False 2 points Question 3 The following inequality represents a resource constraint for a maximization problem: X + Y ≥ 20 Answer True False 2 points Question 4 In minimization

. . + ________________________________________ f4 (x0 - x1) (x0 - x2)(x0 - x3)(x0 - x4) (x4 - x0)(x4 - x1)(x4 - x2)(x4 - x3) (0.3 - 1)(0.3 - 3)(0.3 - 4)(0.3 - 7) (0.3 - 0)(0.3 - 3)(0.3 - 4)(0.3 - 7) = ________________________________________ 1+ ________________________________________ 3 + (-1) (-3)(-4)(-7) 1 x

lobbyist each organization has, from which viewers will see that Patton Boggs maintains the most lobbyist with over 150 residing under their management. In figure X2 the same organizations shown in Figure X are displayed in the graph along with the amount of money each distinctive group spends on Lobbyist. With a quick observation at Figure X2 it easily determined that the majority of groups spend in upwards of 15,000 dollars in 2011 to benefit there lobbying. FigureX3 displays the organizations with

The History of Haplogroup X Haplogroup X diverged from Haplogroup N more than 30,000 ybp (Benson and Glad, 2006). Haplogroup N originated in Africa and can be traced back to over 70,000 years ago. There are traces of haplogroup N in Western Asia around 30000 B.C. The atmosphere in Western Asia where haplogroup X originated from was desert-like with grasslands, deserts, and mountains. The summers were hot and dry which included a scorched climate with periods of heavy rain. The living conditions

  will   be   used  for  our  analysis.     X1  è  pounds  of  grade  A  tomatoes  in  canned  whole  tomatoes.   X2  è  pounds  of  grade  B  tomatoes  in  canned  whole  tomatoes.     9X1  +  5X2  ≥  8  (X1  +  X2)  è 9X1  +  5X2  =  8  (X1  +  X2)  è 9X1  –  8X1  =  8X2  -­‐  5X2  è  X1  =  3X2       We   know   that   X1   is   maximum   600.000   pounds

And 2 (r) is a special gamma = Pr (Y y) = Pr X 2 p y) = Pr (0 X Z py x2 xe 2 dx = 0 y and the p.d.f. is g (y) = G0 (y) = = e 2 y 2 p ye y 2 1 p 2 y y 2 = y1 1 e (1) 21 The last part of the equation above shows that g (y) is exactly the Gamma p.d.f. with 2 = 2; so X 2 (2) E X 2 = E (Y ) = 1 2 = 2 Bonus Part: Let y = x2 ; then Z E (X) = = = Z Z = 1 and 1 x e p y e 2 2 x2 2 dx = dy = 1 ye y 2 p d y 1 0 1 0 y 2 0 3 2

Optimization Application Problem involving single variable • Building a demand function and then a revenue function • Definitions e.g. Non-linear and dynamic functions; Decision-making under certainty, uncertainty and risk Practice Questions: x2 20 (a) Find an expression for the marginal revenue first using the limit definition and again using rules for differentiation. 1. Revenue function of producing and selling x units of a product is: R(x) = 20 x − R(x+h) = 20( x + h) − ( x

EuroEconomica Issue 2(31)/2012 ISSN: 1582-8859 Effects of Audit Opinion on Stock Prices: The case of Croatia and Slovenia Arbër H. HOTI Teaching Assistant Faculty of Economics, University of Prishtina, arber_hoti@hotmail.com Hysen Ismajli Associate Profesor Faculty of Economics, University of Prishtina, hysen_rismajli@yahoo.com Skender Ahmeti Associate Profesor Faculty of Economics, University of Prishtina, skender.ahmeti@yahoo.com Arben Dërmaku Assistant Profesor Faculty of Economics