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mireia tur

mireia t.

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In this problem it will be useful to recall the following properties of logarithms: $\log(xy) = \log(x) + \log(y)$ and $\log(x^a) = a \log(x)$. Find the least integer k such that $f(n)$ is $O(n^k)$ for each of the following functions: (a) $f(n) = n \log(4^n)$ (b) $f(n) = 1^6 + 2^6 + ... + n^6$ (c) $f(n) = \log(n!)$ (d) $f(n) = \frac{\log(n^n)}{n^9 + 1}$

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1. Convención pasiva y activa. (a) Determine la potencia absorbida o suministrada por los elementos del circuito 1. 12 V 1A 3 8V 4 V + 4 2 2 A 1A 24V 16V 12V 3 A + 1 1A 2 A Figure 1: Circuito 1 (b) Use el principio de la conservación de la potencia para hallar el valor de la corriente $I_x$ en el circuito 2. 1 + 6V 1 6V + $I_x = 2A$ 2 A 9A 3 10 V +4V $8I_x$ 3 A 8A4 12 V 2 Figure 2: Circuito 2 1 11 A + $8I_x$

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Use the Short Run Cost graphs handout (from a textbook by Dominick Salvatore) 1. Using the top graph, what is the amount of Fixed Cost? Compare it at Q =0 and Q=4. 2. Using the bottom graph, what is the Average Fixed Cost at Q = 4? Is this accurate given the FC from the top graph at Q=4? Explain. 3. In the top graph, what is the slope of the ray labelled Y? What does this tell us at Q = 4? Does this accurately correspond with the bottom graph at Q=4? Explain. 4. How are point C on top graph and point C' on the bottom graph related? I mean in terms of costs, not just that they are at the same quantity! 5. How are point Z on top graph and point Z' on the bottom graph related? I mean in terms of costs, not just that they are at the same quantity! 6. A tricky one. How are W, W' and W" related (at Q = 1.5).

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Exercise 2 - Questions Question 1 Describe the characteristics of the Mixed Prokaryote and Eukaryote slide that allowed you to identify the prokaryotes and the eukaryotes. Reference Photo 7 in your answer.

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Question 7 (2 points) ACE inhibitors decrease blood pressure by decreasing: 1) parasympathetic output 2) vasodilation 3) urine output 4) sodium retention Question 8 (2 points) Saved

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II. Prove the following by using the uniqueness method. (15 points each) 1. If m and b are real numbers such that m ≠ 0, then there exists a unique real number x such that mx + b = 0. 2. If A and B are sets and f: A → B is both one-to-one and onto, then for every element y ∈ B, there is a unique element x ∈ A such that f(x) = y.

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How many years are needed for ₱40,000 to yield ₱13,756.66 if invested at 6% compounded semi-annually interest? Group of answer choices 6.25 years 7.3 years 5 years 8 years

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Fill in the blanks in this detailed capital structure table: Calculate the market value of total equity, i.e. total common equity, and the market value of total capital, i.e. total debt and total equity. Then calculate the market value weight of total debt and of total equity, i.e. Allied's current capital structure. (Hint: please read the Notes carefully to find the information needed to calculate the market value of total equity.) Assets and Claims Against Assets at Book Value on 12/31/18 Investor-Supplied Capital: Payables and Accruals Are Excluded Because They Come from Operations, Not from Investors Assets Claims Book Value (1) Market Value (2) Target (3) Cash $ 10 Accounts payable $ 60 3.0% Receivables 375 Accruals 140 7.0% Inventories 615 Notes payable 110 5.5% $ 110 Total C.A. $1,000 Total C.L. $ 310 15.5% $ 110 Net fixed assets $1,000 Long-term debt 750 37.5% 750 750 Total liabilities $1,060 53.0% $ 860 47.8% $ 860 Preferred stock - 0.0% - 0.0% 0.0% 45.0% 2.0% Common stock 130 6.5% 130 Retained earnings 810 40.5% 810 Total common equity $ 940 47.0% $ 940 52.2% 53.0% Total $2,000 Total $2,000 100.0% $1,800 100.0% 100.0% 100.0% Notes: 1. The market value calculations assume that the company's debt is trading at par, so the market value of debt equals the book value of debt. 2. The market value of equity is the share price of common stock multiplied by the number of shares outstanding. At 12/31/18, the firm has 50 million shares outstanding, and its stock sold for $23.06 per share.

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2. An economy has a Phillips curve given as $\pi_t = \pi_t^e + 0.18 - 3u_t$, where $\pi_t$ is the inflation rate, $\pi_t^e$ is expected inflation rate, $u_t$ is the unemployment rate. Answer the following questions: What is the natural rate of unemployment ($u_n$)? (1) Suppose that $\pi_t^e = \pi_{t-1}$ and $u_{t-1} = u_n$. Moreover, $\pi_{t-1} = 0$. If the government intends to use expansionary monetary policy to control the unemployment rate equal to 5%, then the inflation rate at t, t+1, t+2, and t+3 will be equal to what levels? (15%) (2) (continued from the previous question) Please draw a diagram to explain why the inflation rate will keep increasing when the government uses the expansionary monetray policy to keep $u_t < u_n$. (15%) (Hint: please draw the y-axis as $\pi_t$ and x-axis as $u_t$ of the Phillips curves; then, show $\pi_t$, $\pi_{t+1}$, $\pi_{t+2}$, $\pi_{t+3}$)

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The terms of sale are not clearly stated in the text. It is mentioned that the merchandise is sold for a certain amount of cash and on account, but the specific terms are missing. Additionally, there are several spelling and typographical errors throughout the text. The sentence structure is also unclear and fragmented, making it difficult to understand the intended meaning. The mathematical equations are not properly formatted and the square root symbol is missing. Overall, the text needs significant revisions for clarity and accuracy.

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