Linearly polarized light that is oriented along the x-axis and has intensity I₀ is incident on a linear polarizer (LP1) with transmission axis oriented at an angle θ₁=15° clockwise with respect to the x axis. The light then passes through a second linear polarizer (LP2) with transmission axis oriented at an angle θ₂ = 45° counterclockwise relative to the x axis as shown before passing through a quarter wave plate. The fast axis of the quarter wave plate is aligned with the y-axis.

1)

What is the intensity of the light after the second linear polarizer (LP2) but before the quarter wave plate?

I ₂ = 0.25 I₀

I ₂ = 0.467 I₀

I ₂ = 0.75 I₀

I ₂ = 0.233 I₀

I ₂ = 0.7 I₀

2)

What is the polarization after the light passes through the quarter wave plate?

Linearly polarized along θ₂

Left circularly polarized

Right circularly polarized

3)

Keeping the linear polarizers and quarter wave plate exactly the same, the incident light is now changed to be unpolarized as shown below. What is the intensity of light measured after the quarter wave plate(IQWPIQWP)?

IQWP=IQWP= 0.125 I0I0

IQWP=IQWP= 0.233 I0I0

IQWP=IQWP= 0.5 I0I0

IQWP=IQWP= 0.0583 I0I0

IQWP=IQWP= 0.467 I0

1- The indicator is the solution that is slowly added to the sample during a titration.

True

False

2-At the first equivalence point in this experiment the number of moles of HCl added to the sample and the number of moles of PO ₄^3-originally in the sample are

3-At the equivalence point Blank 1 PO ₄^3- remains and there is Blank 2 H ₃ O ⁺ leftover. The number of moles of H ₃ O ⁺ added to the sample is Blank 3 to the number of moles of PO ₄^3- with which you started.

4- After the first equivalence point, further addition of HCl will cause the reaction to form what ion?

5-The titrant in this experiment, HCl, is a base.

True

False

6-

The sample in this experiment, phosphate, is an acid.

True

False

7-The titrant will be poured into which piece of equipment?

The owner of WebCity is trying to decide whether to remain a proprietorship or to incorporate. Suppose that the corporate tax rate on profits is

40 percent and the personal income tax rate is 50 percent. For simplicity, assume that all corporate profits (after corporate taxes are paid) are distributed as dividends in the year they are earned and that such dividends are subject to tax at the personal income tax rate.

If the owner of WebCity expects to earn $130,000 in before-tax profits this year, regardless of whether the firm is a proprietorship or a corporation, which method of organization should be chosen?

?

Proprietorship

Either one

Corporation

.

What is the dollar value of the after-tax advantage of this form of organization?

$.

Suppose that tax policy is changed to completely exempt from personal taxation the first

$28,000 per year in dividends (or profits), which method of organization should be chosen?

?

Either one

Corporation

Proprietorship

.

Suppose that the corporate form of organization has cost advantages that will raise before-tax profits by

$40,000.

Should the owner of WebCity incorporate?

?

No

Yes

.

By how much would after-tax profits change due to incorporation?

$ .

How can you explain the fact that even though corporate profits are subject to double taxation, most business in the United States is conducted by corporations rather than by proprietorships or partnerships?

A. A proprietorship structure provides limited liability for owners.

B. A corporate structure provides limited liability for owners.

C. A corporate structure guarantees higher profits.

D. None of the above.

Linearly polarized light that is oriented along the x-axis and has intensity I₀ is incident on a linear polarizer (LP1) with transmission axis oriented at an angle θ₁=15° clockwise with respect to the x axis. The light then passes through a second linear polarizer (LP2) with transmission axis oriented at an angle θ₂ = 45° counterclockwise relative to the x axis as shown before passing through a quarter wave plate. The fast axis of the quarter wave plate is aligned with the y-axis.

1)

What is the intensity of the light after the second linear polarizer (LP2) but before the quarter wave plate?

I ₂ = 0.25 I₀

I ₂ = 0.467 I₀

I ₂ = 0.75 I₀

I ₂ = 0.233 I₀

I ₂ = 0.7 I₀

2)

What is the polarization after the light passes through the quarter wave plate?

Linearly polarized along θ₂

Left circularly polarized

Right circularly polarized

3)

Keeping the linear polarizers and quarter wave plate exactly the same, the incident light is now changed to be unpolarized as shown below. What is the intensity of light measured after the quarter wave plate(IQWPIQWP)?

IQWP=IQWP= 0.125 I0I0

IQWP=IQWP= 0.233 I0I0

IQWP=IQWP= 0.5 I0I0

IQWP=IQWP= 0.0583 I0I0

IQWP=IQWP= 0.467 I0

a. The standard deviation of a sample of data was 14. Find the variance.

B. Given the sample data 5, 0, 7, 5, 9, and 6, find its range

C.

A new​ weight-loss program claims that participants will lose an average of more than 10 pounds after completing it. The data table shows the weights of five individuals before and after the program.

We need to test the hypothesis that the population mean of differences exceed 10.  That is,

H0:  

H1:   .  

Use 5% level of significance.

Find the test statistic.

(Provide two  significant digits to the right of the decimal point)

C.

A person can take either of two routes to work, through Matteson or Richton Park. Both take on average 35 minutes, and travel times are Normally distributed. But are the variances of the travel times different? A random sample with n = 8 using the Matteson route, and another random sample with n = 6 using the Richton Park route, showed a variance of 45 (units: square minutes) and 30 respectively. To test whether the variances are different, the following test of hypothesis should be done:

H0:

H1:  

What is the value of the test statistic?

Vegas Products sells marked playing cards to blackjack dealers. It has not paid a dividend in many years but is currently contemplating some kind of dividend. The capital accounts for the firm are: Common stock (2,500,000 shares) $12,500,000 Retained earnings 22,500,000 Net worth $35,000,000 The company’s stock is selling for $20 per share, and it earned $5,000,000 during the year with 2,500,000 shares outstanding, indicating a P/E ratio of 10. a. Restate the capital accounts at year end after the 10% stock dividend. Common stock $ 13750000 13750000 Incorrect Retained earnings 17500000 17500000 Correct Net worth 31250000 31250000 Incorrect b. Restate the EPS and share price. (Assume the P/E ratio remains constant.) (Do not round intermediate calculations. Round the final answers to 2 decimal places.) EPS $ 1.82 1.82 Correct Share price $ 18.18 18.18 Correct c. How many shares would an investor end up with if he or she originally had 150 shares? Number of shares 165 165 Correct shares d. If an investor originally had 150 shares, what is the investor’s total investment worth before and after the stock dividend if the P/E ratio remains constant? (Do not round intermediate calculations.) Total investment Before stock dividend $ 3000 3000 Correct After stock dividend $ 3000 3000 Correct

1. Suppose the price of dragonglass is 10 gold for both country Lannister and country Targaryen, if before any international trade, country Lannister’s supply for dragonglass is 600, and country Targaryen’s demand for dragonglass is 600 and supply is 1000, if we assume that the exporting country have exactly amount of dragonglass that the import country would like to import, then after the international trade happened during this two countries, please state which country will import dragonglass and by how much?

2. If the import country posted a tariff on dragonglass by 10% of it’s value. And the total import amount compare to before drop 200 units, please state that what would be the new demand and supply for this import country?

3. If the import country posted a tariff on dragonglass by 10% of it’s value. Due to this reason, the price of this product at the exporting country drop by 2 gold. Please state that what will be the total loss in the export country?

4. What will be the total loss of consumer surplus of import country? And what will be the total tariff revenue of this country? And what would be the total increase of producer surplus of this country?

5. What is the actual tariff after the trade if you combine two countries’ situation? Do the import country gain on this international trade? Why and if so, by how much?

6. Which Stark will live after April and why? (Extra credit)

After-Tax Profit

Targets Olivian Company wants to earn $300,000 in net (after-tax) income next year. Its product is priced at $250 per unit.

Product costs include:

Direct materials $75.00

Direct labor $55.00

Variable overhead $12.50

Total fixed factory overhead $445,000

Variable selling expense is $10 per unit; fixed selling and administrative expense totals $295,000. Olivian has a tax rate of 40 percent.

Required: 1. Calculate the before-tax profit needed to achieve an after-tax target of $300,000. $

2. Calculate the number of units that will yield operating income calculated in Requirement 1 above. If required, round your answer to the nearest whole unit. units

3. Prepare an income statement for Olivian Company for the coming year based on the number of units computed in Requirement 2. Do NOT round interim calculations and, if required, round your answer to the nearest dollar. Olivian Company Income Statement For the Coming Year Total $ $ $

$ 4. What if Olivian had a 35 percent tax rate? Would the units sold to reach a $300,000 target net income be higher or lower than the units calculated in Requirement 2? Calculate the number of units needed at the new tax rate. In your calculations, round before-tax income to the nearest dollar. Round your answer to the nearest whole unit. units

After-Tax Profit Targets

Olivian Company wants to earn $360,000 in net (after-tax) income next year. Its product is priced at $350 per unit. Product costs include:

Variable selling expense is $14 per unit; fixed selling and administrative expense totals $260,000. Olivian has a tax rate of 40 percent.

Required:

1. Calculate the before-tax profit needed to achieve an after-tax target of $360,000.
$

2. Calculate the number of units that will yield operating income calculated in Requirement 1 above. If required, round your answer to the nearest whole unit.
units

3. Prepare an income statement for Olivian Company for the coming year based on the number of units computed in Requirement 2. Do NOT round interim calculations and, if required, round your answer to the nearest dollar.

4. What if Olivian had a 35 percent tax rate? Would the units sold to reach a $360,000 target net income be higher or lower than the units calculated in Requirement 2?

Calculate the number of units needed at the new tax rate. In your calculations, round before-tax income to the nearest dollar. Round your answer to the nearest whole unit.
units

PLEASE SHOW CALCULATOR STEPS INCLUDING WHAT YOU INPUT FOR THE TESTS Just before the 2004 Democratic convention, Rasmussen Reports polled 1500 likely voters at random and found that 705 favored John Kerry. Just after the convention, they took another random sample of 1500 likely voters and found that 735 favored Kerry. Did Kerry’s favorability rating increase after the national convention? Use a significance level of a = 0.05.

a) Give the name of the hypothesis test that would be appropriate for this situation. (1 point)

b) State the hypotheses in symbols. (2 points)

c) Use your calculator to perform the appropriate hypothesis test and report the test statistic and p-value. Be sure to write out what you entered in your calculator. (3 points)

d) Make a sketch of the test distribution. Be sure to label the test statistic and p-value. (2 points)

e) Write a full conclusion for this test in the context of the problem. (2 points)

f) Find a 90% confidence interval for the difference in John Kerry’s favorability rating before and after the convention. Do not make these calculations by hand. Instead, use the correct command in your graphing calculator and write out what you entered. (3 points)

g) Does this confidence interval support your conclusion in part (e)? Explain. (2 points)