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Your credit report indicates your spouse's personal information. Question 31Select one: True False

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Exercise 6.1. (combined from JPE, October 1990 and May 1997) Let $A \in \mathbb{C}^{n \times n}$ be a normal matrix. (a) Prove that $A - \lambda I$ is normal for any $\lambda \in \mathbb{C}$. (b) Prove that $||Ax|| = ||A^*x||$ for all $x$. (c) Prove that $(\lambda, x)$ is an eigenpair of A if and only if $(\bar{\lambda}, x)$ is an eigenpair of $A^*$. (Hence, A and $A^*$ have the same eigenvectors.)

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In the late 1990s, the United States experienced a technology boom. In part, the boom was due to a revolution in communication technology that resulted in a massive expansion of the internet; in part, the boom was due to households and firms purchasing new computer equipment in anticipation of Y2K (Y2K stands for year 2000. As that year approached, many people feared that computer programs storing year values as two-digit figures (such as 99) would cause problems.). The economy would be affected because these events would: Instructions: In order to receive full credit, you must make a selection for each option. For correct answer(s), click the option once to place a check mark. For incorrect answer(s), click the option twice to empty the box. decrease aggregate supply. decrease aggregate demand. increase aggregate demand. increase aggregate supply. Ultimately, this will: increase GDP and decrease price. decrease GDP and decrease price. increase GDP, but the effect on price is not certain. decrease GDP and increase price.

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Find the area of the region inside: $r = 8 \sin \theta$ but outside: $r = 1$

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The other answer available on Chegg is incorrect. Please help. A coin is tossed repeatedly, with heads appearing on each toss with probability p. A gambler starts with an initial fortune k (where 0 < k < N); he wins one point for each head and loses one point for each tail. If his fortune ever reaches 0, he is bankrupted, while if it ever reaches N, he stops gambling to buy a Jaguar. Suppose that p < 1/2. Show that the gambler can increase his chance of winning by doubling the stakes. You may assume that k and N are even.

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(1 point) Use the discriminant to determine whether the quadratic equation has zero, one, or two distinct real solutions. $x^2 + 2x + 6 = 0$ The quadratic equation has choose one real solution(s). Note: You only have one attempt at this problem.

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3. Consider a two-period small open endowment economy with free capital mobility. Households live for one period. The endowment is 10 in both periods. The utility function of households living in period 1 is $\ln C_1$ and that of households living in period 2 is $\ln C_2$. The government lives for 2 periods and has access to the world financial market, where the interest rate is 10 percent $r = 0.1$. Government spending is 2 in both periods ($G_1 = G_2 = 2$). The government levies lump-sum taxes in periods 1 and 2, denoted $T_1$ and $T_2$, respectively. Households and government start their lives with no debts or assets. Finally, assume a benevolent government that cares equally about the welfare of both generations. Specifically, suppose the government utility is given by: $\ln C_1 + \ln C_2$ (a) Calculate $T_1$ and $T_2$. (10 marks) (b) Does the government tax both generations equally? Why or why not? (10 marks)

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Convergence arises in the Solow model, because a) concave production function b) high depreciation c) technological change.

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(i) $(3a + 5b)^3 + 3(3a + 5b)^2 (2a - 5b) + 3(3a + 5b)(2a - 5b)^2 + (2a - 5b)^3$

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An artist uses gold leaf foil in his work. He wants to cover a piece of canvas that is 22.5 inches by 34 inches with this foil. The foil costs $4.15 per square inch. How much money will the artist spend on gold leaf foil for this project?

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