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Robert works for a company in the sales division. He earns a weekly salary of $450 plus 7%commission on his total sales. If he sells $14,200, how much did Robert earn that week?

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1. Consider three points in $\mathbb{R}^2$: (2, 6), (-1, 2), and (1, 0). (a) Set up a system of equations $Ax = b$ to determine if there is a line $y = mx + b$ passing through all three points. (b) Show the linear system $Ax = b$ has no solution. (c) Find a least-squares solution of $Ax = b$. 1st find the normal equations for $\hat{x}$ then solve for $\hat{x}$. (d) Use your least-squares solution $\hat{x}$ to find the line closest to passing through all three points.

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Standing at the top of Mount Everest, the column of atmosphere above you is ______ it is at sea level. ? heavier per square meter than ? lighter per square meter than ? the same as

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What equipment do you need to conduct the flame tests? 2. What is happening at the atomic level to give rise to the observed colors? 3. Why does each salt have its own distinctive flame test color? 4. Why are no two elemental emission spectra ever the same?

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symbolize: it is not the case that if it is not Red or white then it is not blue or it is red if it is whote and blue

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Kindly note that all questions are in the attached image. Question 3. Assume that two of the world's leading passenger aircraft manufacturers, Boeing based in the USA and Airbus based in France, want to frame sales strategies for the coming financial year. Assume also that their strategies will be successful only if one of them concentrates on the emerging markets (of Asia, Eastern Europe, Africa, and South America) and the other concentrates on the existing markets (of Western Europe, Oceania and North America). A single market cannot accommodate the aircrafts of both manufacturers and each manufacturer can concentrate only on one market. Their strategies and associated payoffs (in billions of dollars) are presented in the Table below. Determine the strictly dominant or dominated strategies, if any, in this game. What will be the equilibrium of the game? Question 4. Players MTN (A) and Telecel (B) are playing a simultaneous move game and both can choose either strategy S_(1) or strategy S_(2). If both choose S_(1) both receive 0 . If both choose S_(2) both receive -2 . If their chosen strategies differ they both receive -4. (a) Write out a table representing each player's strategies and payoffs (payoff matrix). (b) State the set of strategy profiles. (c) Suppose player A plays S_(1). What is B's best response and why? (d) Suppose player B plays S_(2). What is A's best response and why? (e) Does A have a dominant strategy? Justify your response. (f) Is there a unique outcome by elimination of dominated strategies? Justify your response. (g) What is (or are) the pure strategy NE to this game? (h) Explain precisely why it is the NE (if more NE just pick one of them). Pick one strategy profile that is NOT a NE and explain precisely why. (i) Which of the NE do you find most likely to prevail in the real world. Why? What about if the game was played repeatedly? Question 3. Assume that two of the world's leading passenger aircraft manufacturers.Boeing based in the USA and Airbus based in France,want to frame sales strategies for the coming financial year. Assume also that their strategies will be successful only if one of them concentrates on the emerging markets of Asia.Eastern Europe,Africa,and South America and the other concentrates on the existing markets (of Western Europe,Oceania and North America.A single market cannot accommodate the aircrafts of both manufacturers and each manufacturer can concentrate only on one market.Their strategies and associated payoffs in billions of dollars are presented in the Table below. Determine the strictly dominant or dominated strategies.if any.in this game.What will be the equilibrium of the game? Airbus's strategies Existing Markets Emerging Markets Boeing's strategies Existing Markets -2, -2 5,5 Emerging Markets 5.5 -2,-2 Question 4. Players MTN(A and Telecel (B are playing a simultaneous move game and both can choose either strategy Si or strategy S2.If both choose Si both receive 0.If both choose S both receive -2.If their chosen strategies differ they both receive -4. a Write out a table representing each player's strategies and payoffs (payoff matrix) (b State the set of strategy profiles. c Suppose player A plays Si.What is B's best response and why? d Suppose player B plays S2.What is A's best response and why? e Does A have a dominant strategy? Justify your response f Is there a unique outcome by elimination of dominated strategies? Justify your response g What is or arethe pure strategy NE to this game? h Explain precisely why it is the NE (if more NE just pick one of them.Pick one strategy profile that is NOT a NE and explain precisely why. 1 Which of the NE do you find most likely to prevail in the real world. Why? What about if the game was played repeatedly?

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Categories Most Elastic In Between Least Elastic Alcohol Raspberry white claw Hard seltzer The price elasticity of demand of a good is also impacted by the defined time horizon. Compared to the short-run demand for oil, the demand for oil in the long run will tend to be elastic.

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Chain Rule (Multiple independent variables) Given $f(x, y) = \sin(x + y)$ where $x = st^2$, $y = 4s - 2t$. Find $f_s(x(s,t), y(s, t)) =$ $f_t(x(s, t), y(s, t)) =$ Note: This question is looking for the answer to be only in terms of s and t. Question Help: Video Submit Question

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Find the x and y components of the following vector:-\n(A) -4,-11\nB) 4,11\n-4, 11\n0\n10\n$|a| = 11.7\n110.0°\n...\n1

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2. Recall that $\binom{n}{r} = \frac{n!}{r!(n - r)!}$ where $n! = n \cdot (n - 1) \cdot (n - 2) \cdot \dots \cdot 3 \cdot 2 \cdot 1$. By Mathematical Induction, prove that for all $n \in \mathbb{N}$, the following statement is true: $\binom{k}{k} + \binom{k+1}{k} + \dots + \binom{n}{k} = \binom{n+1}{k+1}$ for all integers $0 \le k \le n$. 3. Let $D = \{x + iy \in \mathbb{C} \mid x, y \in \mathbb{R}^+, \mid x + iy \mid > 1\}$, $f : \mathbb{C} \to \mathbb{C}$ with $f(z) = -1/z$. Find $f(D)$, then sketch the picture of $f(D)$ on the complex plane.

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brian m.