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Let q C and let r > 0 be a positive real number. Describe, in at most two sentences, why the solution set to |z q| = r is a circle. Compute the price of a share of stock that pays a 50.50 per year dividend and that you expect to be able to sell in one year for $20, assuming you require a 10% retum The price of the share is $_________ loading up on sugar___ is advisable before a speech because it gives you quick energy An event can be considered unusual if the probability of it happening is less than 0.025. That is there is less than 2.5% chance that the event will happen. A typical adult has an average IQ score of 105 with a standard deviation of 20. Suppose you select 35 adults and find their mean (average) IQ. Let it be X. By Central Limit theorem the sampling distribution of X follows Normal distribution1. Mean of X is______ 2. 2. Standard deviation of X is _______ Round to 2 decimals.Use the mean and SD entered for next 2 sub-questions. 3. In the sample of 35 adults, the probability (chance) that the mean IQ is between 100 and 110 is _______ .Round to 2 decimals Does the government have the right or power to suppress dissent in wartime? Peacetime? Why or why not?Do you think the United States would have risked losing World War I had it not passed the Espionage and Sedition Acts and taken other steps to suppress dissent? Why or why not? can u help me make a graph based off the oligopoly of the market on baby formula like during these recent times where the 3 main companies are flunking leaving little to no baby formula and hard for people to find The approximation of I = scos (x2 + 2) dx using simple Simpson's rule is: -1.579234 0.54869 O This option O This option -0.93669 -0.65314 4.2. if your credit card calculates interest based on 13.90 APR, compounded monthly,(A) What are you monthly interest rate and annual effective interest rate ?(B) if your current outstanding balance is 3,000 and you skip payments for two months, what would be the total balance two months from now?Please give the full details roberto received land worth $32,000 as a gift in 1997. the donor's adjusted basis was $35,000. roberto sold the land for $95,000 in 2022. what is his recognized gain or loss on the sale? $60,000 $32,000 $35,000 $95,000 Find the best least squares fit by a line to the points (-2, 1), (2, -3), (0,0), (-4, 7). Company A is financed by 26% of debt and the rest of the company is financed by common equity. The company's before-tax cost of debt is 3.3%, and its cost of equity is 7.5%. If the marginal tax rate is 30%, the company's weighted average cost of capital (WACC) is (Note: Round your answer to three decimal places. For example, if your answer is 8.7%, you should write 0.087 in the answer box. DO NOT write your answers as percentages as you will be marked wrong.) ? Write down 5 controversies and misconceptions of EBP. A consumer survey was conducted to examine patterns in ownership of tablet computers, cellular telephones, and Blu-ray players. The following data were obtained: 313 people had tablet computers, 236 had cell phones, 265 had Blu-ray players, 69 had all three, 62 had none, 98 had cell phones and Blu-ray players, 57 had cell phones but no computers or Blu-ray players, and 102 had computers and Blu-ray players but no cell phones. (Round your answers to one decimal place.) (a) What percent of the people surveyed owned a cell phone? _________X % (b) What percent of the people surveyed owned only a cell phone? ___________% According to Dr. King, what makes a law unjust?Question 37 options:a law that is out of harmony with moral lawa law that is out of harmony with honorable lawa law that is in harmony with moral lawa law that is in harmony with honorable law Which of the following is an external factor? Select one: a. the sales force b. where advertising is placed c. technological factors d. the distribution strategy 1. Discuss strict liability in Mexico oil spills2. Negligence and recklessness are tort laws but varies indegree. Justtify At the time indirect materials are issued to production, the balance in the:A. Raw Materials Inventory account will increase.B. Work in Process Inventory account will increase.C. Manufacturing Overhead account will increase.D. Manufacturing Overhead account will decrease. 5. Constant growth stocks Super Carpeting Inc. (SCI) just paid a dividend (D) of $1.92 per share, and its annual dividend is expected to grow at a constant rate (g) of 4.00% per year. If the required return (r.) on SCI's stock is 10.00 %, then the intrinsic value of SCI's shares is per share. Which of the following statements is true about the constant growth model? The constant growth model implies that dividends remain constant from now to a certain terminal year. The constant growth model implies that dividend growth remains constant from now to infinity. Use the constant growth model to calculate the appropriate values to complete the following statements about Super Carpeting Inc.: If SCI's stock is in equilibrium, the current expected dividend yield on the stock will be per share. SCI's expected stock price one year from today will be per share. If SCI's stock is in equilibrium, the current expected capital gains yield on SCI's stock will be per share.. The histogram to the right represents the sepal widths (mm) ofa sample of irises. Based on the histogram, what is the number ofirises in the sample? Work out the total surface area of the frustum. Give your answer to 3 s.f.