What is the slope of the line that is perpendicular to y = - 3x - 1

Ravine Corporation purchased 40 percent ownership of Valley Industries for $119,200 on January 1, 20X6 when Valley had capital stock of $252,000 and retained earnings of $46,000. The following data were reported by the companies for the years 20X6 through 20X9 Dividends Declared Operating Income Net Income Valley Year Ravine Corporation Valley Industries Ravine 20X6 20X7 20X8 20X9 $143,000 93,000 233,000 163,000 $44,000 64,000 10,000 54,000 $ 72,000 $34,000 72,000 54,000 40,000 102,000 34,000 92,000 Required a. What net income would Ravine Corporation have reported for each of the years, assuming Ravine accounts for the intercorporate investment using the cost method and the equity method? Net Income Year Cost Method Equity Method 20X6 20X7 20X8 20X9 For each of the following, explain in one or twosentences, what you understand by the term and give an example1. Tacit knowledge2 Core competence3. Trade-off4. Competitive advantage If sec() = 17 /8 where /2< < and tan() = 21/20 where < < 3/2 , find the exact values of the following.a. csc(-)b. sec(+)c. cot (+) supervisors should seek to improve auditors moods and flow with what job conditions? To gain an understanding of constructive and destructive interference.Consider two sinusoidal waves (1 and 2) of identical wavelength ?, period T, and maximum amplitude A. A snapshot of one of these waves taken at a certain time is displayed in the figure below. (Figure 1) Let y1(x,t) and y2(x,t) represent the displacement of each wave at position x at time t. If these waves were to be in the same location (x) at the same time, they would interfere with one another. This would result in a single wave with a displacement y(x,t) given byy(x,t)=y1(x,t)+y2(x,t).This equation states that at time t the displacement y(x,t) of the resulting wave at position x is the algebraic sum of the displacements of the waves 1 and 2 at position x at time t. When the maximum displacement of the resulting wave is less than the amplitude of the original waves, that is, when ymaxA, the waves are said to interfere constructively because the resulting wave is larger than either of the individual waves. Notice that 0?ymax?2A. (20 pts) (a) (5 pts) Find a symmetric chain partition for the power set P([5]) of [5] := {1, 2, 3, 4, 5} under the partial order of set inclusion. Consider n different eigenfunctions of a linear operator A.Show that these n eigenfunctions are linearly independent of each other.Do not assume that A is Hermitian. (Hint: Use the induction method.)I can't read cursive. So write correctly par a) At the end of its financial year 2021, an analyst made the following forecast for Burberry plo for financial years 2022-2025 (in millions of pounds) Cash In-flows from Operations Cash Out-flowS Investment 2022 1280 600 2023 1710 750 2024 1750 1200 2025 1800 1000 Burberry plc reported 2250 million in total debt at the end of 2021. Required: 1. Use a required rate of return of 10% to calculate both the enterprise value and equity value for Burberry plo at the end of 2021 under the following two scenarios for the long-run position of the company's cash flows: L. Free cash flow will remain at 2025 levels after 2025. il. Free cash flow will grow at 4% per year after 2025 (15 marks) II. Assuming Burberry pic had 400 million shares outstanding at the end of 2021, calculate the value per share under both scenarios. Based on your valuation, recommend a trading strategy if the quoted price on the stock exchange is currently at 19 per share. (10 marks) a) At the end of its financial year 2021, an analyst made the following forecast for Burberry pic for financial years 2022-2025 (in millions of pounds): Cash In-flows from Operations Cash Out-flows hvestment 2022 1280 600 2023 1710 750 2024 1750 1200 2025 1800 1000 * Burberry pic reported 2250 million in total debt at the end of 2021. Required: L. Use a required rate of return of 10% to calculate both the enterprise value and equity value for Burberry pic at the end of 2021 under the following two scenarios for the long-run position of the company's cash flows: 2024 1750 1200 2025 1800 1000 Burberry pic reported 2250 million in total debt at the end of 2021. Required: 1. Use a required rate of return of 10% to calculate both the enterprise value and equity value for Burberry pic at the end of 2021 under the following two scenarios for the long-run position of the company's cash flows: i. Free cash flow will remain at 2025 levels after 2025. il. Free cash flow will grow at 4% per year after 2025 (15 marks) II. Assuming Burberry plc had 400 million shares outstanding at the end of 2021, calculate the value per share under both scenarios. Based on your valuation, recommend a trading strategy if the quoted price on the stock exchange is currently at 19 per share. (10 marka b) In conducting valuation analysis, critically discuss activities which determine the value of a firm, providing examples to support your arguments. TRUE / FALSE. PLEASE ANSWER ALL THE QUESTIONS. THANK YOU SO MUCH.1. Shapes such as the Coca-Cola bottle are patentable as well as trademarkable.2. Copyright is among the most easily obtained intellectual property protections. A patent is among the most difficult to obtain intellectual property protections3. With formal intellectual property rights protections comes "constructive notice".4. One does not have to acquire permission to use a copyrighted work if the work is to be performed in a persons home and not for hire.5. Companies must make efforts to keep their trademarked product name from becoming part of our everyday language. If they do not, they could lose the exclusive right to their name.6. Common law is from traditions whereas statutory law is "made-up" law.7. The Constitution of the United States is an "anti-government" document that provides citizens protection against the government. It does not apply to protections against non-government individuals.8. Willy influenced our criminal system. Al influenced our civil system of law.9. The vesting in an administration entity such as the EPA of the authority to make laws, to enforce those laws, and adjudicate those laws is ostensibly unconstitutional for lack of separation of powers. An object of m-2 kg is suspended on the other end of the spring, which is suspended from one end to the ceiling and is in balance. The object is pulled X2=6 cm and released at t=0 at the zero initial velocity. Find the position, velocity, and acceleration of the object at any given t time. k=98N/m Use technology to obtain approximate solutions graphically. All solutions should be accurate to one decimal place. (Zoom in for improved accuracy.) 0.2x + 4.7y = 1 1.6x + 1.3y = 2 (x, y) = Let ai, be the entry in row i column j of A. Write the 3 x 3 matrix A whose entries are maximum of i and j. i column ; of A. Write the 3 x 3 matrix A whose entries are aij Letaijbe the entry in row i column j of A. Write the 3 x 3 matrix A whose entries areEdit View Insert Format Tools Table12pt vParagraphBIUA 22: i column j of A. Write the 3 x 3 matrix A whose entries are ajEdit View Insert Format Tools TableV12pt ParagraphBIUA 2 T2=maximum of i and j. A geologist is conducting a study on 3 types of rocks to measure their weight and comparing the similarity between the means, she collected a sample of 92 rocks from all types Variation SS df MS F Between (SST) 231 ??Within (SSE) 37Total sum square (TSS) Calculate the FF Test Statistic" value? (answer to 3 decimal places) stockholders who may receive dividends but cannot vote are called Use the algebraic tests to check for symmetry with respect to both axes and the origin. y = 1/x^2 +3a.x-axis symmetry b.y-axis symmetry c.origin symmetry d.no symmetry Which of the following statements is true?o A. Economics is a science since the study of economics uses models and theories that are subject to empical testing o B. Economics is not a science since the models developed ate a simplification of the real world o C. Economics is not a science since only biology, physics, and chemistry can be called sciences o D. In order for a discipline to be considered a science, it must be possible to set up laboratory experiments The ceteris paribus assumption means o A. other things equal o B. more is better. o C. people respond to incentives. o D. all people are rational. The Ecology Group wishes to purchase a piece of equipment for recycling of various metals. Machine I costs $150,000, has a life of 10 years, an annual cost of S6000, and requires one operator at a cost of $24 per hour. It can process 10 tons per hour. Machine 2 costs $80,000, has a life of 6 years, an annual cost of $3000, and requires two operators at a cost of $24 per hour each to process 6 tons per hour. Assume i -10% per year and 2080 hours per work year. Determine the annual breakeven tonnage of scrap metal at i = 7% per year and select the better machine for a processing level of 1500 tons per year. Assume the following: i. The public holds no currency. ii. The ratio of reserves to deposits is 0.1. iii. The demand for money is given by Md = $Y(0.8 - 4i) Initially, the monetary base is $100 billion, and nominal income is $5 trillion. a. What is the demand for central bank money? b. What is the overall supply of money? Find the equilibrium interest rate. As of 1-2/31/2018 (end of 2018), B&T Trucking shows an amount of $71,100 on its balance sheet for the item Accumulated Retained Earnings. During the following year (2019) they have $100,000 in sales and $19,300 in net income, which are reported on the 2019 income statement. They pay out $6,500 in cash dividends. As of 12/31/2019 (end of 2019), what will be their balance sheet amount for Accumulated Retained Earnings? [Enter your answer to the nearest dollar; do not include any cents. Do not include a dollar sign ($).] how many protons, neutrons, and electrons are present in the following: 133xe