. PPG is expected to earn $4 per share in one year. The market demand for the new product is expected to be high so PPG decides to retain 60% of its earnings in year 1, 2, and 3. The reinvestments are expected to generate 10% return. Starting from year 4, PPG will maintain an 60% dividend payout rate because the investment return is expected to decline to 5% due to increased competition from similar products. (round to two decimal places for all the answers)

a. What is the earnings growth rate for year 1 to 2, year 2 to 3, and year 3 to 4?

b. What is the long term growth rate after year 4?

c. Calculate the earnings per share for year 1, 2, 3, 4, and 5.

d. Calculate the dividend per share for year 1, 2, 3, 4, and 5.

e. If the cost of equity capital is 4%, find the current share price.

f. PPG manager decides to try alternative valuation method based on multiples from the industry peers. The average forward P/E ratio (i.e., price divided by earnings in the coming year) of the same industry is 30. What is should be the per share price of PPG based on the P/E ratio?

Determine whether the following hydroxide ion concentrations ([OH−]) correspond to acidic, basic, or neutral solutions by estimating their corresponding hydronium ion concentrations ([H3O+] using the ion product constant of water (Kw).

It may help to keep the following equation in mind as you work Kw = [H3O+][OH−] = [1×10−7 M][1×10−7 M] = 1×10−14 M.

1. [OH-] = 4 x 10^-12 M

2. [OH-] = 7 x 10^-9 M

3. [OH-] = 7 x 10^-4 M

4. [OH-] = 2 x 10^10 M

5. [OH-] = 6 x 10^-5 M

6. [OH-] = 7 x 10^-13 M

7. [OH]- = 1 x 10^-7 M

8. [OH-] = 4 x 10^-2 M

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1. 1.Masaba consumes two commodities, potato chips and beer. She maximizes her benefits according to the neoclassical approach. Suppose that the price of chips is $2 per bag, the price of beer is $4 per can, and her that her budget is $18. The table below provides information about her marginal valuation.

1. How much of each commodity will she consume? (Provide the formula and your calculations.) (1 points)
2. In a sentence or two provide the reasoning used by the neoclassical approach that would yield the answer in 3a. (1 point)

Which is necessarily true if the government were to replace a progressive income tax system with a proportional one?

The Federal payroll (Social Security) tax:

The Federal tax system is:

If the tax on gasoline is increased, gas stations are most likely to pass most of this increase to the consumer if the demand is:

The incidence of taxation refers to:

A person whose income has increased from $10,000 to $20,000 finds that her Federal marginal tax rate has increased from 18 percent to 22 percent. This is an example of a:

The benefits-received principle of taxation is:

Which of the following is the largest expenditure item of state governments?

1. Find Taylor series centered at 1 for f(x) = e^ (x^2). Then determine interval of convergence.

2. Find the coeffiecient on x^4 in the Maclaurin Series representation of the function g(x) = 1/ (1-2x)^2

1. Perform a repeated-measures ANOVA using the following data. The data represent ten subjects’ measures repeated over five different trials.

1. Complete the following ANOVA table. You may use SPSS (attach output) but record your answers here.

2. State in words the relevant null and alternate hypotheses being examined. Make sure you phrase them as accurately as possible.

3. Write an APA-style summary of your interpretation of the results in part (a) including the appropriate statistics (F test, effect size, power, etc.) to support your report. You need to tell the story behind the results obtained from the analysis.

4. Suppose the data for the five trials were not repeated but rather were collected from five independent groups. Rerun the analysis as a one-way ANOVA and summarize your results in the below table. Compare the results of this table to those in part (a) focusing on the SS, df, MS, and F statistic.

5. Between the repeated-measures design and one-way ANOVA, which one is more powerful in finding significant differences under the assumption that the null hypothesis is true? Explain how you arrived at your conclusion.

A special deck of cards has 5 red cards, and 4 purple cards. The red cards are numbered 1, 2, 3, 4, and 5. The purple cards are numbered 1, 2, 3, and 4. The cards are well shuffled and you randomly draw one card. R = card drawn is red E = card drawn is even-numbered a. How many elements are there in the sample space? b. P(E) = Round to 4 decimal places.

Variable 1: Income

Find median and standard deviation:

Graph using histogram:

Description of Findings:

Variable 2: Marital Status

Find mode:

Graph using pie chart:

Description of Findings:

Variable 3: Family Size

Find mean and variance:

Graph using histogram:

Description of Findings:

Variable 4: Housing

Find mean and variance (in relation to marital status or single and married):

Graph using histogram:

Description of Findings:

Variable 5: Food

Find mean and variance (in relation to marital status or single and married):

Graph using histogram:

Description of findings:

Description of Findings: Briefly discuss each variable in the same sequence as presented in the results. What has the highest expenditure? What variable has the lowest expenditure? If you were to recommend a place to save money, which expenditure would it be and why?

Data Set:

Consider ​z = x ​ 1 ​ 2 ​ - 3x ​ 1 ​ x ​ 2 ​ + 3x ​ 2 ​ 2 ​ + 4x ​ 2 ​ x ​ 3 ​ + 6x ​ 3 ​ 2 ​ .

1)Find the extreme values, if any, of the above function.

2)Check whether they are maxima or minima.

1. Given two wave equations, ?1(?, ?) = ? sin(?? − ?? + ?1) and ?2(?, ?) = ? sin(?? − ?? + ?2), what is the linear combination of the two wave equations where both waves have the same wavelength and angular frequency but ? ≠ ? and ?1 ≠ ?2? That is, what is ?1 + ?2 given different amplitudes of oscillation and phase constants? Your answer must be in the form of?3(?, ?) = ? sin(?? − ?? + ?3) where ? is the amplitude of oscillation of the new resultant wave and ?3 is a new phase constant. Be sure to give an expression for ? and ?3. Show how you get to your answer. Do not simply show an end result. Hint: Trigonometric identities will be useful here.