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9. In a 200 m race, $ P $ beats Q by 75 m and Q beats $ R $ by $ 40 \mathrm{~m} . R $ finished the race 5 seconds after $ Q $ finished. Find (1) Advanced Educational Activities Pvt. Ltd. 95B, Siddar

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Determine if the series converges or diverges and indicate which test was used to arrive at your conclusion: sin² (n³+x) Σ √³+

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Consider the game at right. Relative to a simultaneous move situation, the gain to firm R from being able to move first in this game would be

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A security company offers to provide CCTV coverage for a parking garage for ten years for an initial payment of \$45,000 and additional payments of \$30,000 per year. What is the equivalent annual annuity of this deal, given a cost of capital of 8\%? A. \$-22,024 B. \$-36,706 C. \$25,694 D. \$-29,365

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State the domain and range of the function. 15) $f(x) = \frac{6}{3 + e^x}$ A) domain: $(-\infty, \infty)$; range: $(0, 2)$ C) domain: $(0, \infty)$; range: $(0, \infty)$ B) domain: $(-\infty, \infty)$; range: $(0, 3)$ D) domain: $(-\infty, \infty)$; range: $(-\infty, \infty)$

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3. LO 1, 3, 4 Consider a situation in which lump-sum tax is higher than dividend income and the consumer prefers an equal proportion of consumption and leisure. (a) Suppose that $h = 16$, $w = 0.5$, $\pi = 0.6$, and $T = 4$. Use a diagram to show the consumer's optimal choice of consumption and leisure. (b) If the consumer likes a fixed proportion of 4 units of consumption and 1 unit of leisure, how will your answer to part (a) change? Use the diagram from your answer to part (a) to show the changes. (c) Show the new optimal choice of consumption and leisure on the same diagram if $w$ is now doubled. Explain this change in terms of income and substitution effects.

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1. A). You are the Plant Manager of a company that deals in propane cylinders, potassium cyanide, formaldehyde, and acids. You must train your employees in handling the products safely and ensuring safety at workplace. (i) Identify their hazard categories. (2 marks) (ii) What are the potential hazards (health and physical) related to these products? (3 marks) (iii) What safety precautions will you observe? (3 marks) Write for each of the above products separately. B) You are a production line leader in your automotive company in Toronto. You were sent to the world headquarters of Toyota Motor Corporation to study their systems of world-class quality and safety at work. You have just returned this morning. Due to top priority at work, you have reported to your manager right away. He wants you to participate in a strategic meeting and asks you, "Are you okay for work, or facing any possible hazard?" How will you respond? (2 marks)

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Question 3. Show that the grammar defined by the following production rules is ambiguous by giving an example of a string produced by the grammar that has more than one derivation tree. $S \to aSbS$ $S \to bSaS$ $S \to \lambda$

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4.27 Find the average power dissipated in a 2\Omega resistor when the applied current is $i(t) = 8\cos\omega t - 6\cos3\omega t + 3\cos5\omega t$ A

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On January 1, 2020, X Company purchased 40,000 of Y Company's 50,000 outstanding voting shares for $400,000. The entire purchase discrepancy was allocated to land owned by Y. At December 31, 2021, the balance of the Investment Account in Y under the equity method was $432,000. On January 1, 2022, X sold 10,000 shares of Y on the open market for $120,000. The fair value of Y's land had increased for the 2 years prior to 2022. What is the gain or loss on the sale of the 10,000 shares to be reported on X's consolidated financial statements, and how should this gain or loss be reported? i. $12,000 gain reported in net income ii. $12,000 gain reported as a direct credit to shareholders' equity iii. $20,000 gain reported in net income iv. $20,000 gain reported as a direct credit to shareholders' equity.

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heather c.