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Solve the exponential equation. Express the solution set so that (a) solutions are in exact form and, if irrational, (b) solutions are approximated to the nearest thousandth. Support your solutions by using a calculator. 2^(x+2)=3^(2x-3)

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Justify (Why?): 1. (4 pt.) The PentiumIII is able to execute more than one instruction at a time. 2. (4 pt.) Although 80386SX processor was released after 80386, 80386SX comes with 16- bit external data bus while 80386 has 32-bit external data bus.

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The first Homo species are thought to have evolved from one species of Australopithecus about 2 to 2.8 million years ago.

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Yosifa is single. She timely filed her 2023 tax return and received a direct deposit of $4,850. Two months later, she received a check in the mail from the IRS in the amount of $4,850. Yosifa decided to deposit the check into her account. Six months later, she received a letter from the IRS requesting that she return the check that was mailed in error. The letter stated that Yosifa was being assessed a penalty for failing to return the refund. What type of penalty will be imposed on Yosifa, and what is the amount of penalty that Yosifa will pay? a) Accuracy-related penalty - $1,940 b) Late filing penalty - $1,121.50 c) Tax fraud - $3,637.50 d) Excessive claim for refund - $970

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5. Use the following income statement and balance sheet information and find FCFF 2017 and FCFE 2017 assuming Capex 2017 is 225 000 (use EBIT as the starting point) In $ thd Income statement 2017 Balance sheet 2017 2016 Sales 1 230 000 Cash 25 000 21 990 COGS 684 000 Accounts receivable 125 000 115 000 Gross profit 546 000 Inventory 200 000 215 000 SG&A expense 293 000 Total current assets 350 000 351 990 Depreciation 25 000 Gross PPE 700 000 475 000 Operating income (EBIT) 228 000 Less: accumulated Interest 141 000 depreciation 313 000 288 000 Income before taxes 87 000 Net PPE 387 000 187 000 Income taxes (27%) 26 490 Total assets 737 000 538 990 Net income 63 510 Liabilities Accounts payable 116 000 103 000 Notes payable 29 000 29 000 Total current liabilities 145 000 132 000 Long-term debt 248 000 152 000 Total liabililities 393 000 284 000 Common stock 4 500 4 000 Paid-in capital 220 500 170 500 Retained earnings 119 000 80 490 Total shtockholders' equity 344 000 254 990 Total liabilities and equity 737 000 538 990

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QUESTION 8 Considered alone, which of the following would decrease a company's current ratio? a. An increase in accounts receivable. b. A decrease in accrued liabilities. c. An increase in accounts payable. d. An increase in net fixed assets.

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Write a function $f(x)$ and give a number $x_0$, so $f(x_0) = -18$. $f(x)$ is not allowed to be constant or the identity $f(x) = x$. $x_0 = $

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Evaluate the integral: $\int \frac{\ln x}{x^2} dx$ When you evaluate the integral using integration by parts, choose the following terms that are part of your answer 1 $\frac{1}{x}$ $-\frac{1}{x}$ $\frac{1}{x^2}$ $-\frac{1}{x^2}$ x $x^2$ $\frac{1}{2}x^2$ $\frac{1}{4}x^2$ $x^3$ $\frac{1}{3}x^3$ $\ln x$ $-\frac{1}{x}\ln x$ $\frac{1}{x^2}\ln x$ +C

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A recession is _ GDP. slower growth in stagnant shrinking deflation with shrinking

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Vector A has a magnitude of 46 units and points in the positive y direction. When vector B is added to A, the resultant vector A + B points in the negative y direction with a magnitude of 28 units. Find the magnitude and direction of B. magnitude 74 unit(s) direction Enter a number. is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error counterclockwise from the +x-axis

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