Phoenix Corp. faltered in the recent recession but is recovering. Free cash flow has grown rapidly. Forecasts made in 2019 are as follows:

  
Phoenix’s recovery will be complete by 2024, and there will be no further growth in net income or free cash flow.

a. Calculate the PV of free cash flow, assuming a cost of equity of 8%. (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)

b. Assume that Phoenix has 12 million shares outstanding. What is the price per share? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

c. Confirm that the expected rate of return on Phoenix stock is exactly 8% in each of the years from 2020 to 2024. (Hint: First, calculate the PV of all future cash flows starting in each year. Round your answer to 2 decimal places.)

Part 1: A cart with mass 0.30 kg and velocity 0.10 m/s collides on an air-track with a cart with mass 0.40 kg and velocity -0.20 m/s. What is the final velocity in m/s of the two carts if they stick together? v_f=

Part 2: What is the maximum height y that the pendulum can reach in this experiment? a) L b) y₀-L c)0.3m d) y₀+L e) y₀f)0.2m

Part 3: A pendulum has a length of L = 1.0 m What is its period in s? T=

Part 4: Suppose that you wanted to reduce the resonant frequency of the system, what could you do? a) reduce the mass b)increase the damping c)increase the spring constant d)reduce the drive frequency

Part 5: Suppose that the temperature of the bulb in the Charles’ law apparatus increases from 0.0°C to 100.0°C. By what multiplicative factor will the pressure increase by? P₂/P₁=

Part 6: Starting at 20.0°C, to what temperature in °C would you have to raise the Charles law apparatus to double the pressure? T₂=

1A. An analyst has collected the following information regarding Christopher Co.: · The company's capital structure is 70 percent equity, 30 percent debt. · The yield to maturity on the company's bonds is 4 percent. · The company's year-end dividend (D1) is forecasted to be $1.0 a share. · The company expects that its dividend will grow at a constant rate of 4 percent a year. · The company's stock price is $25. · The company's tax rate is 40 percent. · The company anticipates that it will need to raise new common stock this year. Its investment bankers anticipate that the total flotation cost will equal 10 percent of the amount issued. Assume the company accounts for flotation costs by adjusting the cost of capital. Given this information, calculate the company's WACC in percentage. Round it to two decimal places.

1B. New Mexico Lumber recently reported that its earnings per share were $3 .00. The company has 300,000 shares of stock outstanding. The company's interest expense was $ 600,000. The corporate tax rate is 40 percent. What was the company's operating income (EBIT)? Round it to a whole dollar, and do not include the dollar sign.

Consider a simple electrical circuit where you charge a capacitor through a resistor by connecting a battery (closing the switch) at time t=0.

The charge Q on the capacitor is related to the current I by dQ/dt=I. Furthermore, by Kirchhoff’s law, V – RI – Vc =0, and the charge Q on the capacitor is Q=CVc, where C is the capacitance. That can be combined to give the differential equation

dQ/dt = V/R - Q/RC

The analytic solution is Q(t)=CV(1 – exp(-t/(RC)). Write a MATLAB code that solves the differentia equation with the Euler forward method, Predictor-Corrector method, and Runge Kutta 4th Order. Use values of 1F for the capacitor, 10 Ohm for the resistor, and 10 V for the battery. Run the code from 0 to 10 seconds. Use values for dt of 1.0, 0.1, and 0.01. For each of the runs calculate the percentage error at the end, and make a table of the errors. Discuss and submit the table and only the first plot for Euler/dt=1. Which dt and how many step do you need with each of the methods to achieve an accuracy of better than 0.01%?

Glucose are stored as glycogen in muscle cells, from which it can again be mobilized during exercise.

a) Write down the partial reactions as well as the net yield for the conversion of glucose-6-phosphate to glycogen and for the conversion of glycogen to glucose-6-phosphate.

b) Calculate the energy required for the consumption of the total process of converting glucose-6-phosphate to glycogen and back to glucose-6-phosphate expressed as energy-rich phosphate bonds (ATP equivalents). ΔG0’ for the reaction: ATP + H2O → ADP + Pi = –30.5 kJ∙mol-1.

c) Calculate ΔG’ for the reaction at 25 °C and pH 7, when [ATP] = 5 mM, [ADP] = 0.5 mM and [Pi] = 1.0 mM. Phosphocreatin constitutes a small extra storage of energy within muscle cells, and is formed from phosphorylation of creatin. The reaction is catalyzed by creatine kinase and ΔG0’ for the reaction is +2.3 kJ∙mol-1 (progressing towared the formation of phosphocreatin).

d) Calculate how much phosphocreatin formed relative to creatin at equilibrium in the creatin kinase catalyzed reaction (assuming the same temperature, pH and concentrations of ATP and ADP as indicated in the previous question).

A patient is admitted to the ICU with severe necrotizing pancreatitis. A few hours after admission, he developed increasing oxygen requirements and was intubated for hypoxemic respiratory failure. Intially, his oxygen saturation improved to the mid-90% range on an FiO2 of 0.5, but in the past 2 hours, the nurse has had to increase the FiO2 back to 0.7 and his SaO2 is still in the lower 90% range. The patient remains on a PEEP of 5 cmH2O. The respiratory therapist drew an ABG which shows pH 7.35, PCO2 38, PO2 60, HCO3 - 22 on an FiO2 of 0.8. The patient's repeat chest x-ray is shown a "ground glass appearance". An echocardiogram performed earlier in the day revealed normal left ventricular function. How do you explain his worsening oxygenation status? What can you do to improve his oxygenation? What other changes should you consider making in the ventilator settings? If his oxygen saturation fails to improve despite being on high levels of support (i.e., FiO2 of 1.0 and 20 cmH2O of PEEP), what other options do you have for improving his oxygenation?

A student reacted 100.0 mL of 0.9800 M HCl with 100.0 mL of 0.9900 M NH3. The density of                          
the reaction mixture was 1.02 g/mL and the heat capacity was 4.016 J/g K.                          
Calculate the enthalpy of neutralization by plotting and using the data shown below.

Time(min) Temp(oC)
0.0 23.25
0.5 23.27
1.0 23.28
1.5 23.30
2.0 23.30
3.0 23.35
4.0 23.44
4.5 23.47
mix ---------
5.5 28.75
6.0 28.50
7.0 28.55
8.0 28.48
9.0 28.32
10.0 28.25
11.0 28.20
12.0 28.05
13.0 27.96
14.0 27.80
15.0 27.75

Using the data provided in the excel file, show all of your work for the following calculations:

a.) mean temperature of unmixed reagents (oC)

b.) δελταT from graph (oC)

c.) q absorbed by reaction mixture (J)

d.) q absorbed by calorimeter, stirrer, and thermometer (J)

e.) q total absorbed (J)

f.) q total released (J)

g.) calculation to show limiting reagent

h.) deltaH neutralization for the reaction (kJ/mole of acid)

1). Nitromethane (CH3NO2) burns in air to produce significant amounts of heat. 2CH3NO2(l)+3/2O2(g)→2CO2(g)+3H2O(g)+N2(g) ΔH∘rxn=−1418kJ How much heat is produced by the complete reaction of 6.91 kg of nitromethane?

2). The air within a cylinder equipped with a piston absorbs 529 J of heat and expands from an initial volume of 0.10 L to a final volume of 0.87 Against an external pressure of 1.0 atm. What is the change in internal energy of the air within the cylinder?

3). The propane fuel (C3H8) used in gas barbeques burns according to this thermochemical equation. C3H8(g)+5O2(g)→3CO2(g)+4H2O(g)ΔH∘rxn=−2044kJ​ If a pork roast must absorb 1.7×103 kJ to fully cook, and if only 13 % of the heat produced by the barbeque is actually absorbed by the roast, what mass of CO2 is emitted into the atmosphere during the grilling of the pork roast?

4). How much heat is required to warm 1.40 L of water from 20.0 ∘C to 100.0∘C? (Assume a density of 1.0g/mL for the water.)

The following table summarizes current prices of various default-free bonds with different maturities. Interest is paid semi-annually.

3.1 Compute the yield to maturity (YTM) and the theoretical spot rate for each of the four bonds. (14%)

3.2 Based on your answer in 3.1, compute, under the pure expectations theory, the forward rate on the six-month default-free bond six months from now. (4%)

3.3 Suppose you wanted to lock in an interest rate for an investment that beginsin one year and matures in one year. Under the pure expectations theory, what rate would you obtain if there are no arbitrage opportunities? Show your calculations. (3%)

3.4 Explain each of the following theories for the term structure of interest rates and discuss how each of them could explain an upward slope of the yield curve. (1) Pure expectations (unbiased) (2) Liquidity preference (term premium) (3) Market segmentation （12.3%）

The table below lists measured amounts (mg) of tar, carbon monoxide (CO), and nicotine in king size cigarettes of different brands. Tar 25 27 20 24 20 20 21 24 CO 18 16 16 16 16 16 14 17 Nicotine 1.5 1.7 1.1 1.6 1.1 1.0 1.2 1.4 Use the amounts of nicotine and carbon monoxide (CO).

1.Find the value of the linear correlation coefficient between amounts of nicotine and carbon monoxide.

2.Use the data and determine whether there is sufficient evidence to support a claim of a linear correlation between amounts of nicotine and carbon monoxide. Find the P-value.

3.Based on the P-value, is there a linear correlation between the amounts of nicotine and carbon monoxide?

4.Using the data, and letting y represent the amount of carbon monoxide and letting x represent the amount of nicotine, find the regression equation.

5.Referring to the data in Question 16, The Raleigh brand king size cigarette is not included in the table, and it has 1.3 mg of nicotine. What is the best predicted amount of carbon monoxide?