Numerade

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Which of the following is true? a. The incentives to engage in rent-seeking activities increase with the ease with which the political process can provide personal gain at the expense of others. b. The amount of resources devoted toward rent seeking generally has no impact on the economic prosperity of a nation. c. Income transfers directed toward the poor constitute about half of all income transfers in the United States. d. Both logrolling and pork-barrel legislation make it more difficult for special-interest projects to gain legislative approval.

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A loan of $950 was repaid at the end of 6 months with a check for $980. What annual rate of interest was charged? The annual rate of interest was charged at %. (Round to two decimal places as needed.)

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3. A baker wants to estimate the average baking time for a new batch of chocolate chip cookies. She knows from experience that baking times are normally distributed with a population standard deviation $\sigma$ = 3 minutes. A random sample of 12 cookies resulted in the following baking times (in minutes): 10 12 9 14 11 8 13 10 15 12 8 11 a. Calculate the sample mean for the baking times. (3 points) b. What confidence level would you recommend for this scenario? Explain. (3 points) c. Find the critical value for a 99% confidence level. (3 points) d. Calculate the margin of error for the confidence interval. (4 points) e. Construct the 99% confidence interval for the average baking time of all cookies using this recipe. (4 points) f. Interpret the confidence interval you found in part (e) in the context of the problem. (3 points)

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A) Make the largest possible linearly independent set of functions that are annihilated by the differential operator $((D-3)^2 + 25)^2$. You do not need to add arbitrary coefficients or prove that the set is linearly independent. B) Find an annihilator for $cos(2x)e^{-x}$ write an expression of the form $y = c_1y_1 + c_2y_2 + ... + c_ny_n$ (using arbitrary coefficients on all terms) of a general solution to $((D-3)^2 + 25)^2[y] = cos(2x)e^{-x}$.

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Question Solve: $2 = \frac{1}{2}(6x - 8)$

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Which food item would prevent dietary deficiency in a vegan patient?

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4. A 12-mm diameter rod of 3003-H14 aluminum alloy is subjected to a 300 N tensile load. Calculate the resulting rod diameter.

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Q2. Find the transfer function of the system with SFG as shown in Figure 2. (6) 1 R -1 $G_1$ 1 $G_2$ $G_3$ 1 -1 -1 1 $G_4$ $G_1$ $G_2$ 1 $G_3$ -1 Figure 2. 1 $G_4$ 1 OC 1

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QUESTION FOUR The following information was extracted from the ledger accounts of T. Sekoati Chambers on the 31 March 2021: Office furniture M10,000 Computer equipment M25,000 Clients control M15,500 Business bank M12,300 Creditors control M 9,900 Capital: T Sekoati M35,000 Drawings: T Sekoati M11,000 Loan M25,400 Fees M80,000 Printing & Stationery M 3,800 Rent (paid) M42,000 Telephone & internet M 1,500 Insurance M 1,800 Salaries & Wages M25,000 Car fuel & charges M 2,400 Additional information: 1. Office furniture, which was acquired on 1 April 2020, is to be depreciated at 10% per annum on a straight-line basis. 2. Computer equipment, also acquired on 1 April 2020, is to be depreciated at 20% on a declining balance basis. 3. The rent of M42,000 includes rent for the months of April and May 2021. You are required to: 1. Prepare a trial balance from the above information, taking into account the additional information provided. 8 2. Prepare an income statement and a balance sheet for the year ending 31March 2021. [25 MARKS]

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If A = 0x65 and m1 is a masking byte (both A and m1 are declared as char) Which of the following statements is incorrect? Select one: a. If m1=0xAB, then m1 | A << 2 is 0xBF b. If m1=0x53, then m1 & A >> 2 is 0x12 c. If m1=0xAB, then m1 & A << 1 is 0x8A d. None of the other has an error. All the statements are correct e. If m1=0x35, then m1 | A >> 1 is 0x37

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