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What does a benefit rated below 100 suggest? Choose all that apply. The customer does not desire this benefit The benefit does not add as much value to the brand as those benefits rated above 100. The inclusion of that benefit may have a negative impact on brand value. The benefit should be added to the brand because a lower rating is better. The customer neither likes nor dislikes the benefit.

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Question 48 of 75. Wilma purchased a computer for her hospitality business. She paid $1,900 for the computer plus $133 for sales tax, and $180 for the computer to be set up in her office. What is Wilma's beginning basis in the computer? O $1,900 O $2,033 O $2,080 O $2,213

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Question 4 (Mandatory) (2 points) The absolute value of the price elasticity of demand for a good is 0.5. The good has: a) an inelastic demand. b) perfectly inelastic demand. c) unit elastic demand. d) an elastic demand.

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Express the given system of higher-order differential equations as a matrix system in normal form.\ x" + 5x + 7y = 0\ y" - x = 0\ complete your choice.\ (Type an exact answer.)\ $\begin{bmatrix} x_1'\\ x_2' \end{bmatrix} = \begin{bmatrix} x_1\\ x_2 \end{bmatrix}$ $\begin{bmatrix} x_1'\\ x_2'\\ x_3'\\ x_4' \end{bmatrix} = \begin{bmatrix} x_1\\ x_2\\ x_3\\ x_4 \end{bmatrix}$

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Classify each series as convergent or divergent. Show your work. (You can use any method -- you do not have to use the hints.) (a) $\sum_{k=1}^{\infty} \frac{k^2 + 1}{7k^2 + k} $ (Hint: Divergence test) (b) $\sum_{k=1}^{\infty} \frac{3}{2k^2 + 1} $ (Hint: Comparison or limit comparison with the p = 2 series) (c) $\sum_{k=1}^{\infty} \frac{2}{\sqrt[5]{k^3}} $ (Hint: This is two times a p-series) (d) $\sum_{n=2}^{\infty} \frac{1}{n \ln(n)} $ (Hint: Integral test)

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Pediatric dosage calculation A five-year-old weighing 47 pounds is ordered 150 mg of ibuprofen every six hours as needed for mild discomfort. How many teaspoons of children's ibuprofen should you give? How many mLs?

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Sally consumes two goods, housing (X) and food (Y). Her utility function is: $U(X,Y) = 3 \ln(X) + 4 \ln(Y)$. The prices of housing and food are $p_x = 3$ and $p_y = 1$. a. Set up a Lagrangian optimization problem. b. Take the three partial derivatives necessary to solve the Lagrangian. c. Find the Engel curve for X. d. Show whether X is normal or inferior.

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3(a). Apply The Fundamental Theorem of Calculus, Part 1 to evaluate $\frac{dy}{dx}$ for $y = \int_{\tan x}^{0} \frac{dt}{1 + t^2} dt$. This is Exercise 52 of Section 5.4 3(b). Find the area of the shaded region (this is Exercise 63 of Section 5.4):

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Problem 4 In the circuit below, find the average power supplied or dissipated in each element: 2 ? j2 ? 8 ? 24?0 V 12?0 V

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A classic NP-complete problem is called SAT and can be stated as: Given a Boolean expression can it be made True by some assignment of True or False to each of its variables? 4.1. If $B(P_0, P_1, \dots, P_{n-1})$ is a Boolean expression in $n$ Boolean variables. Describe the brute-force, worst case time complexity for showing B is satisfiable or unsatisfiable? 4.2. If B is satisfiable, show that there is a certificate that proves it to be, that is explain.

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philip e.