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You purchase 220 shares of BlueSky Tech stock on margin at a price of $48 per share. Your broker requires you to deposit $7,000 of your own funds. Later, you sell the stock at a price of $60 per share. What is your percentage rate of return?Note: You may choose one of the following options to submit your answers:Type your complete answer directly in the answer field on Blackboard, ORType only the final answer in the Blackboard field, write “see answer on scratch paper,” and show your handwritten work to the camera before proceeding to the next question.

An investment has an expected return of 11 percent per year with a standard deviation of 20 percent. Assuming that the returns on this investment are approximately normally distributed, as illustrated in the figure: a) How frequently do you expect to earn between –29% and 51%? Explain. b) How often do you expect to earn less than –29%? Explain. jor12819_0110.jpg Note: You may choose one of the following options to submit your answers: Type your complete answer directly in the answer field on Blackboard, OR Type only the final answer in the Blackboard field, write “see answer on scratch paper,” and show your handwritten work to the camera before proceeding to the next question.

Information for questions 1-5 In a given market, inverse supply is given by pS = 10 + 2 qS, and inverse demand is given by pD = 100 – qD. For the first four questions, there is no government intervention of any kind, and this market is in a perfectly competitive equilibrium. It will be useful to draw a graph that allows you to keep track of all the numbers and areas. On that graph, place the supply and demand curves (hint: they are just straight lines, and you just need two points to know the entire line), and then all areas, quantities, or prices, that you may want to calculate. You may want to draw your graph roughly on scale, although strictly speaking that’s not necessary, since you won’t use the graph to read off any answers directly, just to keep track of all the numbers that you may need for future use. Only the exact answers are accepted, so make sure to double- and triple-check your reasoning and calculations. Suppose that producers can sell any quantity they wish, at a price of 70. Calculate the producer surplus.

Information for questions 35-37 Two players move sequentially in game, as depicted below. First, Player 1 (represented in blue, and in the node labeled “1”), picks among three strategies: Up, Center, or Down. Next, Player 2 (represented in red, and in the nodes labeled “2”), also picks among the same three strategies: Up, Center, or Down. (Note: for ease of reading, Player 2’s labels were omitted where Player 1’s decision is either Center or Down. Obviously they are the same labels as in the case where Player 1 chooses Up.) The game then ends, and the players receive the payoffs as depicted, with the first number being Player 1’s payoff, and the second number Player 2’s payoff. If both players choose Center, Center, they will get the highest possible collective payoff, adding up to 140. None of the other paths has payoffs adding to 140 or higher. This implies which of the following conclusions? (Note: “efficiency” refers to the players getting the highest possible collective payoff, and not about how that payoff would divide between them.)

Information for questions 1-5 In a given market, inverse supply is given by pS = 10 + 2 qS, and inverse demand is given by pD = 100 – qD. For the first four questions, there is no government intervention of any kind, and this market is in a perfectly competitive equilibrium. It will be useful to draw a graph that allows you to keep track of all the numbers and areas. On that graph, place the supply and demand curves (hint: they are just straight lines, and you just need two points to know the entire line), and then all areas, quantities, or prices, that you may want to calculate. You may want to draw your graph roughly on scale, although strictly speaking that’s not necessary, since you won’t use the graph to read off any answers directly, just to keep track of all the numbers that you may need for future use. Only the exact answers are accepted, so make sure to double- and triple-check your reasoning and calculations. Suppose that the government imposes a tax of $9 in this market. Calculate the quantity produced and sold in this market, in equilibrium. Hint: you will recall that, graphically, you just insert a wedge of $9 between the supply and the demand. Mathematically, that is the same as finding the unique quantity qS = qD = q that makes the demand price be $9 above the supply price, that is, that makes pD = pS + 9. Thus, consider the equation pD = pS + 9, and solve it for a unique q (not qS or qD separately).

Information for questions 1-5 In a given market, inverse supply is given by pS = 10 + 2 qS, and inverse demand is given by pD = 100 – qD. For the first four questions, there is no government intervention of any kind, and this market is in a perfectly competitive equilibrium. It will be useful to draw a graph that allows you to keep track of all the numbers and areas. On that graph, place the supply and demand curves (hint: they are just straight lines, and you just need two points to know the entire line), and then all areas, quantities, or prices, that you may want to calculate. You may want to draw your graph roughly on scale, although strictly speaking that’s not necessary, since you won’t use the graph to read off any answers directly, just to keep track of all the numbers that you may need for future use. Only the exact answers are accepted, so make sure to double- and triple-check your reasoning and calculations. Calculate the equilibrium quantity bought and sold in this market.

If C = AB, where A is a 3×2 matrix and B is a 2×4 matrix, what are the dimensions of matrix C?

An elementary matrix is a matrix that can be obtained from the identity matrix by:

The determinant of a triangular matrix (upper or lower) is the:

Which of the following conditions must be met for the addition of two matrices A and B to be defined?