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(17) (4x^(2) 13x-9)/(x(x-1)(x 3))=(A)/(x) (B)/(x-1) (C)/(x 3) 17 $$ \frac{4x^2+13x-9}{x(x-1)(x+3)} = \frac{A}{x} + \frac{B}{x-1} + \frac{C}{x+3} $$

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Suppose the following theorem is proven using a direct proof. Theorem: If x is a real number and x < 7, then $x^2 - 23x + 112 > 0$ What would be assumed at the beginning of the proof? Select Select x is a real number and x < 7. $x^2 - 23x + 112 \le 0$ $x^2 - 23x + 112 > 0$ x is a real number and x $\ge$ 7. Check Next

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At December 31, 2020, Bramble Corporation has the following account balances: Bonds payable, due January 1, 2029 $1,400,000 Discount on bonds payable 76,000 Interest payable 71,000 Show how the above accounts should be presented on the December 31, 2020, balance sheet, including the proper classifications. (Enter account name only and do not provide descriptive information.) Bramble Corporation Balance Sheet (Partial)

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8. A town has a population of 50,000 . Its rate increases $ 8 \% $ every 6 months. Find the population after 4 years.

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1. the first round of the DES algorithm when the ciphertext and the key are both all ones? a. What’s the 64-bit value of IP(x)? b. What’s the 48-bit subkey k1 of after PC-1? c. What’s the 48-bit value of E(R0) after expansion? d. What’s the 48-bit value after E(R0) XOR k1? e. What’s the 32-bit value after S-boxes operations? f. What’s the 64-bit (L1, R1) value after permutation P?

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A sociologist who is interested in examining racism in sports must first determine what activities will be included in "sports" and develop a precise definition of "racism." This is an example of developing: research design operational definitions hypotheses theory

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f(x) = x\textsuperscript{2} - 4x + 5 (a) The function's vertex is at the point

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Question 1 The eigenvalues of $A = \begin{pmatrix} 2 & 2 \\ 1 & 1 \end{pmatrix}$ are a. 0, 3 b. $-1 \pm \sqrt{3}i$ c. $1 \pm \sqrt{3}i$ d. 0, -1 e. 0, 1

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Harmer Incorporated is now a successful company. In the early days (before it became profitable), it issued ISOs to its employees. Now Harmer is trying to decide whether to issue NQOs or ISOs to its employees. Initially, Harmer would like to give each employee 20 options (each option allows the employee to acquire one share of Harmer stock). For purposes of this problem, assume that the options are exercised in three years (three years from now) and that the underlying stock is sold in five years (five years from now). Assume that taxes are paid at the same time the income generating the tax is recognized. Also assume the following facts: The after-tax discount rate for both Harmer Incorporated and its employees is 10 percent. The corporate tax rate is 21 percent. The personal (employee) ordinary income tax rate is 37 percent. The personal (employee) long-term capital gains rate is 20 percent. The exercise price of the options is $7. The market price of Harmer at the date of grant is $5. The market price of Harmer at the date of exercise is $25. The market price of Harmer at the date of sale is $35. Answer the following questions: Note: Leave no answer blank. Enter zero if applicable. Required: f. What is the present value of each employee's after-tax cash flows from year 1 through year 5 if the employees receive NQOs? PV of each employee's after-tax cash flows? $_______________ Use Exhibit 3.1. Note: Round your intermediate calculations and final answer to 2 decimal places. g. How many NQOs would Harmer have to grant to keep its employees indifferent between NQOs and 20 ISOs? Number of NQOs?______________ Note: Do not round intermediate calculations. Round up your final answer to the next whole number. EXHIBIT 3-1 Single Payment at Various Annual Rates of Return 5% 6% 7% 8% 9% 10% 11% 12% Year 0.962 0.952 0.943 0.935 0.926 0.917 0.909 0.901 0.893 Year 0.925 0.907 0.890 0.873 0.857 0.842 0.826 0.812 0.797 Year 0.889 0.864 0.840 0.816 0.794 0.772 0.751 0.731 0.712 Year 0.855 0.823 0.792 0.763 0.735 0.708 0.683 0.659 0.636 Year 0.760 0.711 0.665 0.623 0.583 0.547 0.513 0.482 0.452 Year 0.731 0.677 0.627 0.582 0.540 0.502 0.467 0.434 0.404 Year 0.703 0.645 0.592 0.544 0.500 0.460 0.424 0.391 0.361 Year 0.676 0.614 0.558 0.508 0.463 0.422 0.386 0.352 0.322 Year 0.650 0.585 0.527 0.475 0.429 0.388 0.350 0.317 0.287 Year 0.625 0.557 0.497 0.444 0.397 0.356 0.319 0.286 0.257 Year 0.601 0.530 0.469 0.415 0.368 0.326 0.290 0.258 0.229 Year 0.577 0.505 0.442 0.388 0.340 0.299 0.263 0.232 0.205 Year 0.555 0.480 0.417 0.362 0.315 0.275 Answer is complete but not entirely correct.

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Let y(t) be a solution of the differential equation y' + y = -2, then Select one: lim_(t->∞) y(t) = 2 lim_(t->∞) y(t) = -2 lim_(t->∞) y(t) = -∞ lim_(t->∞) y(t) = +∞ Clear my choice Let y(t) be a solution of the differential equation y + y = -2, then Select one: lim y(t) = 2 as t approaches 100 lim y(t) = -2 as t approaches -∞ lim y(t) = -∞ as t approaches ∞ lim y(t) = +∞ as t approaches 100 Clear my choice

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