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luz anderson

luz a.

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Instruction 8.1: For the following problem(s), consider these debt strategies being considered by a corporate borrower. Each is intended to provide $1,000,000 in financing for a three-year period. ? Strategy #1: Borrow $1,000,000 for three years at a fixed rate of interest of 7%. ? Strategy #2: Borrow $1,000,000 for three years at a floating rate of LIBOR + 2%, to be reset annually. The current LIBOR rate is 3.50% ? Strategy #3: Borrow $1,000,000 for one year at a fixed rate, and then renew the credit annually. The current one - year rate is 5%. Refer to Instruction 8.1. The risk of strategy #1 is that interest rates might go down or that your credit rating might improve. The risk of strategy #2 is: (Assume your firm is borrowing money.) A. that interest rates might go up or that your credit rating might improve. B. that interest rates might go down or that your credit rating might improve. OC. that interest rates might go up or that your credit rating might get worse. D. none of the above

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Some of the brain's increase in size during early childhood is due to the increase in the number of Multiple Choice nerve endings. synapses. axons. pruned cells.

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Which vitamin is directly involved in the metabolism of the hormones secreted by the pam A. Vitamin C B. Vitamin D C. Vitamin K D. Vitamin B9

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If the Fed wants help the economy recover from a recession then it should decrease the quantity of money, which will result in a lower interest rate. O increase the quantity of money, which will result in a higher interest rate. ? decrease the quantity of money, which will result in a higher interest rate. ? increase the quantity of money, which will result in a lower interest rate.

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The law of demand indicates that as the price of a good increases: suppliers wish to sell more of it. more of it is produced. more of it is desired. buyers will purchase less of it. none of the above.

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Attributes Name category Type integer identifier string Asset Class Notes An integer value that describes the Asset type: 1 = real estate 2 = physical, depreciable 3 = receivables 4 = intellectual property An identifier, that with category, provides a unique identification for this Asset. For example: Patent#5558743 The name of this Asset The current dollar value or balance of the Asset name value string float Operations Name Return Type Arguments w/Type Notes asset_uniqId string None Returns a string containing the unique identifier for the Asset; that is the category value concatenated to the identifier value. For example: 4Patent#5558743 describe_category string None Returns a string containing a text description of the Asset category value as described in the attribute notes. NOTES: The constructor, mutator, accessor, and string methods are not outlined here, but must be present.

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Perform Inverse Laplace Transform for: \frac{se^{-3s}}{(s+3)^2} Show details of your solution. You can only use the transform listed on Table 6.1 of our text book and all properties of Laplace transform.

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2. Consider a continuous-time, linear and time-invariant (LTI) system with the following block diagram shown in Figure 1: 1 x(t) + 1/s -6 2 + y(t) 1/s -? -2 + 1/s -6 2 Figure 1: Block diagram for Problem 2. where ? is some real constant. (a) Find a differential equation that describes the LTI system shown in the block diagram. (9 pts) (b) Suppose that the zero-input response of the system is of the form $y_{zi}(t) = c_1e^{-t} + c_2e^{-2t} + c_3e^{-3t}$, where $c_1, c_2$, and $c_3$ are unknown coefficients. Find the value of the constant ? in the block diagram. (8 pts) (c) Compute the impulse response of the system. (10 pts)

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Suppose A is a 2 by 2 symmetric matrix: \begin{equation*} A = \begin{bmatrix} a & b \\ b & c \end{bmatrix}. \end{equation*} Show that if A is invertible then: \begin{itemize} \item (1 Point) $A^2$ is positive definite. \item (1 Point) Find a condition on the trace and determinant of A so that $A^3$ is positive definite. \end{itemize}

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Problem 2. Find the general solution $x(t)$ of the following second order IVP by rewriting it as a $2 \times 2$ system of equations. $x'' - 4x' + 3x = 0$ when $egin{cases} x(0) = 1\\ x'(0) = 1 \end{cases}$

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