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Compute the correlation coefficient. x 6 1 4 7 3 y 2 4 1 7 6 Send data to Excel The correlation coefficient is . Round the answer to three decimal places.

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H&H Bagel Company has the following accounts before considering a machine purchase. Current Assets $100,000 Net Fixed Assets (already net of accumulated depreciation) $500,000 Net Sales $2,200,000 Long Term Liabilities $ 200,000 COGS $1,200,000 Current Liabilities $30,000 Admin & Depreciation Expenses $300,000 At the start of the year the firm is contemplating a fund raise to purchase a machine for $300,000 having a useful life of 5 years by issuing a corporate bond at a coupon rate of 6%. They were wondering what the impact on the business would be. NOTE: The machine would lose 20% of value in it's first year. Using the above account balances: a) What would the year end balance sheet have been if indeed they issued the bond? b) Calculate what the net income after tax would be if they issued the bond. They pay tax at a rate of 25%. c) Provide 2 other ways that a company could raise funds other than by issuing a corporate bond that would be appropriate given the long term nature of the investment.

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4.4 Making Online Meetings More Accessible. Read the “Tech Tips” feature about making online meetings more accessible in the “Advice for More Inclusive Communication” section. Respond to the following questions: (LO 4.2, LO 4.3) In what ways do you think captions can help meeting participants? Which meeting participants benefit the most form captions? In what ways do you think transcripts can help meeting participants? Which meeting participants benefit the most form transcripts? What do you view as the potential drawbacks of distributing meeting transcripts? How can you overcome these potential drawbacks?

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Which cranial nerve is directly related to the movement of the tongue

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Use function notation to represent the area of a circle whose circumference is 128 cm.

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Define and discuss the CAP theorem. Please support your answer with examples

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The following data refer to a single product, the TECHWHIZ, made by the Markdata Computer Company: Sales price = $5,699 Direct materials cost (including purchased components) = $914 Direct labor cost = $237 Facilities costs (for a highly automated plant; mainly includes rent, insurance, taxes, and depreciation) = $2,392,400 per year Required: 1. What is the contribution margin per unit? 2. What is the breakeven point, in units and in dollars? (Do not round intermediate calculations. Round up your answer to the next whole unit.) 3. What is the required level of sales (in units) if the company plans to increase facilities costs by 5% (to improve product quality and appearance) and has a desired before-tax profit ($T_g$) of $250,000? (Do not round intermediate calculations. Round up your answer to the next whole unit.) 4. If the company's income tax rate is 24%, what unit sales are necessary to achieve an after-tax profit ($\Pi_a$) of $200,000? (Do not round intermediate calculations. Round up your answer to the next whole unit.) 1. Contribution margin per unit 2. Breakeven point in units Breakeven point in dollars 3. Required level of sales in units Units sales

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a) Below are the graphs of $f(x) = e^{-x^2}$ and the corresponding curvature function $\kappa(x)$. i) Use the graphs to find the equation of the osculating circle to $f(x)$ at $x = 0$ and sketch it above. ii) Sketch the unit Tangent vector and the Normal vector above. Be sure to give an appropriate length to the vectors. iii) Briefly explain why $\lim_{x \to \pm \infty} \kappa(x) = 0$ given that $f(x) = e^{-x^2}$ (You cannot just reference the graph of $\kappa(x)$ here.)

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2. A tetrahedron is a figure in $R^3$ composed of 4 triangles. Consider the tetrahedron shown below with vertices at the vectors r, s, t, u. In class, we showed that the centroid of the triangle with vertices r, s, t, has centroid $c = \frac{1}{3}(r + s + t)$. You can use that fact when you are doing this problem. Let c be the centroid of the base triangle (the triangle with vertices r, s, t). Show that the point $\frac{3}{4}$ of the way from u to c is $\frac{1}{4}(r + s + t + u)$.

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5. (Table: Employment, Unemployment, and Labor Force Participation) Refer to the table. What is the labor force participation rate of this country in 2010? Year 2009 2010 Population 380 million 400 million Adults in labor force 255 million 260 million Adults not in labor force 75 million 80 million Employed workers 245 million 247 million 72% 76% 85% 93%

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pablo b.