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patricia lucas

patricia l.

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11. A community college wants to survey faculty members about changes to the existing grade point system. From the listing of all college academic departments, 6 members of each department are selected at random and interviewed. a. simple random b. systematic c. stratified d. cluster e. convenience

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Here is a simplified balance sheet for Upjohn Company at the end of 2020 (dollars in millions): Current assets Net PPE Other assets Total Other information: $1,620 Current liabilities $352 1,340 Long-term debt 750 360 Shareholders’ equity 2,218 3,320 Total 3,320 There are 70 million shares of equity outstanding with a per share price of $38 at end of year. The equity has a beta of 1.25. Historical average risk premium is 8.0% per year and the risk-free rate is 2.5%. Newly issued Upjohn long-term debt carries a spread of 1.5% to the risk-free rate. The company’s tax rate is 20%. (a) Calculate Upjohn’s WACC. (hint: Use the CAPM and the data above and only use “Long-term debt” as debt) (b) What would Upjohn’s WACC be if it moved to and maintained a 30% debt level? As a result, the spread on debt increase to 1.7%.

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Using the balanced chemical equation for the combustion of glucose, C6H12O6, calculate how many moles of glucose are needed to produce 5.0 moles of carbon dioxide, CO2. C6H12O6(s) + 6 O2(g) -> 6 CO2(g) + 6 H2O(l) 1.0 mole 6.0 moles 0.83 moles 30. moles

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Problem 4. If $P_c = 45.6$ atm and $V_c = 98.7$ cm$^3$mol$^{-1}$ are given for a gas, then calculate the pressure for 20 mole of this gas with the molar volume of 70 cm$^3$mol$^{-1}$ and at 90 atm.

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2. A new mutation arises in a population of 1000 blue birds that turns the mutation-carrying individual green (birds are generally diploid). a. What is the starting allele frequency of the green allele? b. What is the most likely fate of the green allele? c. If the green allele helps these blue birds hide from predators, so it is advantageous, how advantageous does it need to be for selection to act on it? d. If the green allele makes these blue birds more conspicuous/visible to predators, so it is deleterious, would it go extinct more quickly if it is dominant or recessive? Why?

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10. Linear Programming. Find the maximum and minimum values of z=7x+18y subject to the constraints x?0 y?0 2x+5y?148 3x+8y ?232 29x+74y?2146 5x+13y?379 In addition to your final answer (the maximum and minimum values), your solution must include your algebraic work finding the intersections, your list of the coordinates of the corners of the feasible region, and your evaluations of the objective function at the corners. MAX VALUE: WORK: MIN VALUE:

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To be able to calculate work done by a constant force directed at different angles relative to displacement If an object undergoes displacement while being acted upon by a force (or several forces), it is said that work is being done on the object. If the object is moving in a straight line and the displacement and the force are known, the work done by the force can be calculated as $W = Fs \cos \theta$, where $W$ is the work done by force $\vec{F}$ on the object that undergoes displacement $\vec{s}$ directed at angle $\theta$ relative to $\vec{F}$. Note that depending on the value of $\cos \theta$, the work done can be positive, negative, or zero. In this problem, you will practice calculating work done on an object moving in a straight line. The first series of questions is related to the accompanying figure. (Figure 1) In the next series of questions, you will use the formula $W = F's \cos \theta$ to calculate the work done by various forces on an object that moves 160 meters to the right as shown in (Figure 2). Part H Find the work $W$ done by the 18-newton force. Use two significant figures in your answer. Express your answer in joules. $W = 3000$ J Incorrect; Try Again Review your calculations and make sure you round to 2 significant figures in the last step. Part I Complete previous part(s) Part J Complete previous part(s) Part K Complete previous part(s)

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An eigenvalue equation in two dimensions is given by \frac{\partial^2 \psi}{\partial x^2} + \frac{\partial^2 \psi}{\partial y^2} = -\lambda \psi with boundary values at x = 0, y = 0 and x = a, y = a \psi(0,y) = \psi(x, 0) = 0 \psi(a,y) = \psi(x, a) = 0 a. Solve the equation using the method of separation of variables b. Determine the eigenvalues and eigenfunctions

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Find the amount in a continuously compounded account for the following condition. Principal, 53000 . Annual interest rate, 5.5%. time. 2 years

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Figure 6-8 price 10 9 8 7 6 5 4 3 2 1 S D 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 quantity Refer to Figure 6-8. When a certain price control is imposed on this market, the resulting quantity of the good that is actually bought and sold is such that buyers are willing and able to pay a maximum of P 1 dollars per unit for that quantity and sellers are willing and able to accept a minimum of P 2 dollars per unit for that quantity. If P 1 - P 2 = $3, then the price control is a. a price ceiling of $3.00. b. a price ceiling of $5.00. c. a price floor of $6.00. d. either a price ceiling of $3.00 or a price floor of $6.00.

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