A company has 4.3 million shares of common stock outstanding and 85,000 bonds outstanding, par value of $1,000 each. Each bond has a 6.8 percent annual coupon rate and the bonds have 23 years to maturity and is now selling at $789.23. (Based on the current price, its YTM is 9%) Coupon is paid annually. The common stock currently sells for $58.00 per share and has a beta of 0.90.  The market risk premium is 7 percent and Treasury bills are yielding 5 percent and the company’s tax rate is 35 percent.

a. What are the weight of debt component (D/V) in the firm’s capital structure?

b. What is the weight of equity component (E/V) in the firm’s capital structure?

c.If the company is evaluating a new investment project that has the same risk as the firm’s typical project, what rate should the firm use to discount the project’s cash flows?

Given two random variables x and y

State of Nature   Probability   variable x   variable y

I 0.2 18 0

II 0. 2 5 -3

III 0.2 12 15

IV 0.2 4 12

V 0.2 6 1

(i) Calculate the mean and variance of each of these variables and the covariance between them

(ii) Suppose x and y represent the returns from two assets. Calculate the mean and variance for the following part folios.

% in x 125 100 75 50 25 0 -25

% in y -25 0 25 50 75 100 125

(iii)Find the portfolio that has the minimum variance.

(iv)Let portfolio A have 75% in x and portfolio B has 25% in x. Calculate the covariance between the two portfolios.

(v) Calculate the covariance between the minimum variance portfolio and portfolio A.

A dielectric-filled capacitor consists of two parallel plates, each with an area  A = 15.0 cm2 , seperated by a distance of d = 10.0 mm and dielectric constant k = 4.00. A potential difference  V= 10.0 V  is applied to these plates . Throughout the problem, use ϵ0 = 8.85×10⁻¹² C2/N⋅m2

Part A)

Calculate the energy U1of the dielectric-filled capacitor.(J)

Part B)

The capacitor remains connected to the battery. Calculate the energy U2 of the capacitor at the moment when the capacitor is half-filled with the dielectric, because the dielectric is slowly pulled away. of(J)

Part C

The capacitor is now disconnected from the battery, and the dielectric plate is slowly removed the rest of the way out of the capacitor. Find the new energy of the capacitor, U3 of (J)

Part D)

In the process of removing the remaining portion of the dielectric from the disconnected capacitor, how much work W is done by the external agent acting on the dielectric? of (J)

1. If you need to do 1.6x10^-6 J of work in order to get a charge closer to another charge, what is the increase in potential energy in J of the moved charge?

2. The work done by the electric force as a positive test charge of 3.0x10^-6 C moves from A to B is 6.0x10^-5 J. What is the difference in electric potential energy (EPE) between points B and A, in Joules? What is the potential difference (V) between points B and A?

3. A negative charge q1 = -6.0x10^-8 C has a distance of 100 m to a positive charge q2 = 6.0x10^-8 C. Two points, A and B, are on the line connecting the two charges. If A is 30 m away from q1 and B is 30 m away from q2, what is the potential difference in V between the points A and B?

4. What is the intersection angle between an electric field line and an equipotential line/surface?

Directions: Review the marshmallow test videos in learning activity #1. As you revisit these videos/read the article, reflect on the concepts about motivation that are covered in this chapter.

https://www.youtube.com/watch?v=4y6R5boDqh4

https://www.youtube.com/watch?v=KPZ5R9EA968

https://www.newyorker.com/magazine/2009/05/18/dont-2

In part 1 of this assignment, describe in 250 words how these concepts/theories explain the behavior exhibited by the children who participated in the marshmallow test. Example: Intrinsic vs. Extrinsic, Drive theory, Arousal Theory, etc.

In part 2 of this assignment, analyze the children’s emotional reaction to the situation. Using the James-Lange Theory, the Cannon-Bard Theory and/or the Schachter-Singer Theory, explain the emotional experiences of the children. Describe your answer to part 2 in 250 words.

Finally, answer the question: Do you think that the children who are aware of their feelings will be more successful with not eating the marshmallow? Why or why not?

1) Determine the volume (liters) of 0.500 M NaOH solution required to neutralize 1.75 L of 0.250 M H2SO4. The neutralization reaction is: H2SO4 (aq) + 2NaOH (aq) → Na2SO4 (aq) + 2 H2O (l) Determine the volume (liters) of 0.500 M NaOH solution required to neutralize 1.75 L of 0.250 M H2SO4. The neutralization reaction is: H2SO4 (aq) + 2NaOH (aq) → Na2SO4 (aq) + 2 H2O (l) 7.00 0.875 1.75 0.438 none of the above

2) How many moles of HNO3 are present if 7.80×10−2 mol of Ba(OH)2 was needed to neutralize the acid solution? Express your answer with the appropriate units.

3)What is the final volume in milliliters when 0.919 L of a 41.5 % (m/v) solution is diluted to 21.8 % (m/v)?

please help with these problems and please show me how you got the answer

A fair coin is flipped until a head appears. Let the number of flips required be denoted N (the head appears on the ,\1th flip). Assu1ne the flips are independent. Let the o utcon1es be denoted by k fork= 1,2,3, . ... The event {N = k} 1neans exactly k flips are required. The event {,v;;, k} n1eans at least k flips are required.

a. How n1any o utcon1es are there?

b. What is Pr[N = k] (i.e., the probability of a sequence of k - 1 tails followed by a heads)? (Hint: write a gene ral expression for Pr[N = k] for any k = 1,2,3, .. . )

c. Show the probabilities sum to l (i.e., I:f: 1 Pr[,v = k] = 1).

d. What is Pr [ N ;;, I] for all I;;: l?

e. What is Pr[N s /] for all I;;: l?

f. Do the answers to tl1e previous two parts sum to l? Should they?

1.) The cell reactions occurring in a battery are given by:

Cathode : 2MnO2 (s) + H2O (l) + 2e-→ Mn2O3 (s) + 2HO- (aq) E 0 red = +0.15 V

Anode : Zn (s) + 2HO- (aq) → Zn(OH)2 (s) + 2e- E 0 red = -1.25 V

a) What is the overall cell potential? What is the free energy change for this process?

b) During the discharge of the battery, 2.00 g of Mn2O3 is produced at the cathode. How many grams of Zn were consumed?

c) Consider this half reaction: Cd(OH)2 + 2e- → Cd(s) + 2HO- (aq) E°red = -0.76V What is the overall cell potential and free energy change of the battery described above if the Zn anode is replaced by Cd?

2.) Ca(s) can be obtained by electrolysis of molten CaCl2. What amperage is needed to produce 10.00 g of Ca(s) in a period of 1h assuming that the process is 100% efficient?

1. The following data are obtained from the current meter gauging of a stream, at a gauging station. Compute the stream discharge using mean section method.

Rating equation of current meter: v = 0.2 N + 0.04, where N = rev./sec, v = velocity (m/sec).                                                                              

An L-R-C series circuit consists of a 60.0 Ω resistor, a 10.0 μF capacitor, a 3.60 mH inductor, and an ac voltage source of voltage amplitude 60.0 V operating at 1450 Hz .

a.) Find the current amplitude across the inductor, the resistor, and the capacitor.

b.) Find the voltage amplitudes across the inductor, the resistor, and the capacitor.

c.) Why can the voltage amplitudes add up to more than 60.0 V ?

d.) If the frequency is now doubled, but nothing else is changed, which of the quantities in part A and B will change?

- only current amplitude will change

-only voltage amplitude across the inductor and capacitor will change

-only voltage amplitude across the inductor will change

-current amplitude and voltage across the any circuit element will change

e.) Find new current amplitude across the inductor, the resistor, and the capacitor.

f.) Find new voltage amplitudes across the inductor, the resistor, and the capacitor.