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2. Assuming that \[ \sum_{i=1}^{5} x_{i}=37, \sum_{i=1}^{5} y_{i}=12, \sum_{i=1}^{5} x_{i}^{2}=303, \sum_{i=1}^{5} y_{i}^{2}=50 \text { and } \sum_{i=1}^{5} x_{i} y_{i}=105 \] Evaluate the following expressions: a) $ \sum_{i=1}^{5} 2 y_{i} $, b) $ \sum_{i=1}^{5} x_{i}-1 $, c) $ \sum_{i=1}^{5}\left(x_{i}-1\right) $, d) $ \left(\sum_{i=1}^{5} x_{i}\right)^{2} $ ,e) $ \left.\sum_{i=1}^{5}\left(2 x_{i}+y_{i}\right), f\right) \sum_{i=1}^{5}\left(2 x_{i}+3 y_{i}\right) $ g) $ \sum_{i=1}^{5}\left(2 x_{i}-5 y_{i}+3\right) $ h) $ \sum_{i=1}^{5}\left(x_{i}-2 y_{i}\right)^{2} $

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13. If you deposit $3,000 in an account earning 8.25% interest, how much will you have in 25 years? You must show your calculator keystrokes to get credit for this problem. PV=3000 N = 25

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Suppose a bowl contains 14 blue jelly beans, 20 green jelly beans, 8 purple jelly beans, and 25 white jelly beans. If you reach in without looking and grab 2 jelly beans, what is the probability that you will grab 2 purple jelly beans? (Give your answer as a decimal rounded to 4 places.)

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Consider the following NLP Min $f(x, y, z) = x^2 + (y - 2)^2 + (z - 1)^2$ s.t. $g(x, y, z) = 4x + y + 4z - 39$ To solve the above NLP we first construct the Lagrangian function: $L(x, y, z, \lambda) = f(x, y, z) - \lambda g(x, y, z)$ Which gives that: 1. The solution is $x = 6.86$, $y = 3.715$, $z = 7.86$ and $\lambda = 3.43$ 2. The value of $f$ is $97.06$

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Question 2 Which one of the following structures the middle ear contains? A. labyrinth B. perilymph C. vestibular apparatus D. ossicles Moving to another question will save this response.

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The .iloc[] method is used to select rows by position. True False

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48 Description of symptoms associated with the disease 49 50 Explain how the infection process produces the symptoms. 51 (Grapsa

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he MS Excel workbook contains a series of Tabs that perform certain functions such as File, Home, Insert, Page Layout, Formulas, Data, Resource View, and Help?

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10kg of water is contained in a piston/cylinder device at 10 MPa and 350 C. The water is cooled at constant pressure until it becomes a saturated vapor. At this point, the piston is pinned so that it cannot move further, yet the cooling continues until a temperature of 300 C is achieved. What is the final internal energy of the water in this problem, in kJ/kg?

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Sombra Corp. is also considering financing the project with 50% equity and 50% debt. The interest rate on the company's debt will be 13%. What will be the project's ROE if it produces an EBIT of $155,000? ? 26.02% ? 24.72% ? 28.62% ? 18.21% What will be the project's ROE if it produces an EBIT of -$50,000 and it finances 50% of the project with equity and 50% with debt? When calculating the tax effects, assume that Sombra Corp. as a whole will have a large, positive income this year. ? -19.16% -24.48% ? -21.29% ? -27.68%

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travis b.