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Question 18 Table 13-15 Output Total Cost 0 $40 10 $60 20 $90 30 $130 40 $180 50 $240 Refer to Table 13-15. What is variable cost when output equals 30 units? $130 $90 $40 $4

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1. What possible motivation might a business manager have for perpetrating fraud? 2. Discuss whether any of the following can be examples of customer fraud: An employee billed a customer twice for the same transaction. A customer remitted payment in the wrong amount. A customer received merchandise in error but failed to return it or notify the sender. 3. Identify whether each of the following accounting positions or duties involves authorization, recording, or custody: · cashier - · payroll processor - · credit manager - · mailroom clerk - · data entry clerk - · deliver paychecks - · deliver the bank deposit - · prepare the bank reconciliation - · check signer - · inventory warehouse supervisor - · staff accountant - 4. Identify whether each of the following activities represents preventative controls, detective controls, or corrective controls: · job rotation - · preparation of a bank reconciliation - · segregation of duties - · recalculating totals on computer reports - · use of passwords - · preparing batch totals for check processing - · establishing a code of ethics - · use of a security guard - · verifying source documents before recording transactions - · matching supporting documents before paying an invoice - · independent review of accounting reports - · performing comparisons of financial statement items - Detective

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1. 40 y 20 -8 4 O 8 x -20 -40 Average rate of change over [-5, 0]:

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(a) Let A ? Rn×n. Prove that, if A has n distinct eigenvalues, then their eigenvectors are linearly independent (Hint: show it by contradiction). (b) For a square matrix A ? Rn×n that has n distinct eigenvalues, ?1, ?2,..., ?n, show that (sI - A)-1 = ?ni=1 1/(s - ?i) viwiT, where vi and wiT are the right and the left eigenvectors of ?i, respectively.

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A heated brass plate is submerged horizontally in water at atmospheric pressure. The plate is maintained at 110Â°C. What is the heat transfer rate per unit area between the plate and the surrounding water? State any assumptions and show all your work.

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4. Evaluate $18! / 17! = ?$ a. 18 b. 180 c. 17 d. 170

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Identify the systems of inequalities A, B, and C for which the given ordered pair is a solution. Some points may be solutions to more than one of the given systems. (1,-3) （）A. B. C.

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Prove or disprove the following statements: (Z,0) is a group. (Z5,0) is a group

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Problem 1: Question 1. Consider the circuit below: $V_1$ 120 V 2 k$\Omega$ 1:10 ww 2 k$\Omega$ 10:1 $R_L$ 1 k$\Omega$ What is the current flowing through the load resistor (in ARMS)? How much power does the voltage source provide to the circuit? The magnitude of $V_1$ is given in VRMS.

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D For the following block diagram: d(t) r(t) + e(t) \frac{5k}{s+10} y(t) \frac{6}{s+2} (a) Find the steady state value of y(t) when r(t) = 0, d(t) = 1 and k = 1. (b) If r(t)=0 and d(t) = 1, for what value of k is the steady state value of y(t) 0.02? (c) Assuming d(t) = 0, for what value of k is the $e_{ss}$ to a step reference 0.01? What is the $e_{ss}$ to a ramp reference in this case?

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adam s.