Numerade

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First, find the restriction(s) on the variable. Then solve $$ \frac{8}{x-1} + 1 = \frac{4}{x-1} $$ A. $$ x \neq 1; \{-3\} $$ B. $$ x \neq -1; \{13\} $$ C. $$ x \neq 1; \emptyset $$ D. $$ x \neq -1; \{-3\} $$

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Find the length of the longest object that will fit inside a cylinder that has a radius of $2\frac{1}{4}$ inches and is 6 inches h to one decimal place.) in Need Help? Read It Watch It

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The meaning of the negative sign in the equation for the restoring force of a spring, is that the restoring force supplied by the spring is always acting in the direction opposite that of the external force exerted on the spring.

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Question content area top Part 1 Don Draper has signed a contract that will pay him $ 70 comma 000$70,000 at the end of each year for the next 55 years, plus an additional $ 110 comma 000$110,000 at the end of year 55. If 88 percent is the appropriate discount rate, what is the present value of this contract? Question content area bottom Part 1 a. What is the present value of $70 comma 00070,000 at the end of each year for the next 55 years if the discount rate is 88 percent? $enter your response here (Round to the nearest cent.) b. What is the present value of $110 comma 000110,000 at the end of year 55 if the discount rate is 88 percent? $enter your response here (Round to the nearest cent.) c. What is the total present value of this contract? $enter your response here (Round to the nearest cent.)

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FROM is the primary clause in a SELECT statement. ? True ? False

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For each table below; could the table represent a function that is linear, exponential, or neither? able[[x,1,2,3,4],[f(x),90,81,72.9,65.61]] f(x) is Select an answer ✓ able[[x,1,2,3,4],[g(x),90,80,70,60]] g(x) is able[[x,1,2,3,4],[h(x),80,61,42.9,25.61]] h(x) g(x X f(x X 80 gx is Select an answer 0 fx isSelect an answer 06 61 2 U exponential, or neither? 42.9 70 represent a function that is linear, 3 8172.965.61 For each table below,could the table 25.61 60 A

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Write a in the form a = a?T + a?N at the given value of t without finding T and N. r(t) = (9et sin t) i + (9et?6) j + (9et cos t) k, t = 0 a(0) = \boxed{}T + \boxed{}N (Type exact answers, using radicals as needed.)

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1. If $\int \frac{\cos^2 x}{\sin^2 x} dx = A \cot x + B \cot^2 x + k$, then $A + B$ equals

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Please examine the texts provided thoroughly to identify and correct any spelling, typographical, grammatical, OCR (optical character recognition), and mathematical errors, including any errors related to the square root symbol. Ensure that the entire text is properly formatted and presented in a clear, coherent manner. Only correct errors, Do not answer it. Texts: Statement of Cash Flows—Direct Method The comparative balance sheet of Canace Products Inc. for December 31, 20Y6 and 20Y5, is as follows: Dec. 31, 20Y6 Dec. 31, 20Y5 Assets Cash $253,220 $238,260 Accounts receivable (net) $91,730 $85,570 Inventories $258,950 $253,380 Investments $0 $98,160 Land $132,820 $0 Equipment $285,700 $224,000 Accumulated depreciation-equipment ($66,890) ($60,410) Total assets $955,530 $838,960 Liabilities and Stockholders' Equity Accounts payable $172,950 $165,280 Accrued expenses payable $17,200 $21,810 Dividends payable $9,560 $7,550 Common stock, $10 par $51,600 $41,110 Paid-in capital: Excess of issue price over par-common stock $193,970 $114,100 Retained earnings $510,250 $489

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V. Take the Cobb-Douglas production function $F(K,L) = 100K^\alpha L^{1-\alpha}$ Demonstrate that the function has constant returns to scale after tripling the inputs of production (3 points). VI. Suppose that a restaurant owner is thinking about opening up another location. The new location is expected to cost $500,000 to open. If this branch is expected to make $50,000 per year, is it worth opening up if the annual interest rate is 15%? How about if the annual interest rate is 5% (5 points)?

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brandon p.