Mercury melts at 234K and boils at 298K at 2x10^-3 torr of pressure. Heat is added to a sample containing 3.00 kg of mercury (Hg) at 238K. The rate of heating is 2000 watts. The pressure is constant and you can assume table values are not affected by reduced pressure or temperature. At what time will the mercury start to boil? How much time for the mercury to completely boil? How long until the mercury gas heats up to 498K?

Create a Balance Sheets for the following scenarios

Transaction 1 Receive Cash for service $5000

2 Accounts receivable $1500

3 Office equipment purchase $6500

4 Supplies on Accounts Payable $2000

5 Owner Capitol (input) $7000

6 Owner withdrawal $ 100

7 Paid for Services provided $3000

8 Office Salary paid $ 500

9 Utilities Paid $ 350

10 Office rent paid $ 500

A large share of the world supply of diamonds comes from Russia and South Africa. Suppose that the marginal cost of mining diamonds is constant at $2,000 per diamond, and the demand for diamonds is described by the following schedule:

Price Quantity (Dollars) Quantity(Diamonds)

8000 2000

7000 3000

6000 4000

5000 5000

4000 6000

3000 7000

2000 8000

1000 9000

If there were many suppliers of diamonds, the price would be _____ per diamond and the quantity sold would be _____ diamonds. If there were only one supplier of diamonds, the price would be _____ per diamond and the quantity sold would be _____ diamonds. Suppose Russia and South Africa form a cartel. In this case, the price would be _____ per diamond and the total quantity sold would be _____ diamonds. If the countries split the market evenly, South Africa would produce _____ diamonds and earn a profit of _____.

If South Africa increased its production by 1,000 diamonds while Russia stuck to the cartel agreement, South Africa's profit would ____ to ______. Why are cartel agreements often not successful?

One party has an incentive to cheat to make more profit.

Different firms experience different costs.

All parties would make more money if everyone increased production.

Time series are particularly useful to track variables such as revenues, costs, and profits over time. Time series models help evaluate performance and make predictions. Consider the following and respond in a minimum of 175 words:

• Time series decomposition seeks to separate the time series (Y) into 4 components: trend (T), cycle (C), seasonal (S), and irregular (I). What is the difference between these components?
• The model can be additive or multiplicative.When we do use an additive model? When do we use a multiplicative model?
• The following list gives the gross federal debt(in millions of dollars) for the U.S. every 5 years from 1945 to 2000:

Year    Gross Federal Debt ($millions)

1945    260,123

1950    256,853

1955    274,366

1960    290,525

1965    322,318

1970    380,921

1975    541,925

1980    909,050

1985    1,817,521

1990    3,206,564

1995    4,921,005

2000    5,686,338

• Construct a scatter plot with this data. Do you observe a trend? If so, what type of trend do you observe?
• Use Excel to fit a linear trend and an exponential trend to the data. Display the models and their respective r^2.
• Interpret both models. Which model seems to be more appropriate? Why?

1 What is the price of a 15-year zero coupon bond paying $1,000 at maturity if the YTM is 5% percent?

(A) $833.33

(B) $2,097.57

(C) $231.38

(D) $476.74

2. Ailerone, Inc. has issued a bond with the following characteristics:

(A) $40.00

(B) $678.89

(C) $1,000.00

(D) $560.59

3. Wing Air, Inc. has issued a bond with the following characteristics:

What is the price of the bond?

(A) $40.00

(B) $918.56

(C) $607.68

(D) $732.51

Given the following information, what would you expect the Treasury Bill rate to be?

(A) 6.71%

(B) 5.27%

(C) 5.99%

(D) 105.90%

1.

Consider the following reaction:

SO2Cl2(g)⇌SO2(g)+Cl2(g)

A reaction mixture is made containing an initial [SO2Cl2] of 2.2×10⁻² M . At equilibrium, [Cl2]=1.3×10⁻² M .

Calculate the value of the equilibrium constant (Kc).

2.

Consider the following reaction:

CO(g)+2H2(g)⇌CH3OH(g)

A reaction mixture in a 5.17-L flask at a certain temperature initially contains 27.4 g CO and 2.36 g H2. At equilibrium, the flask contains 8.67 gCH3OH.

Calculate the equilibrium constant (Kc) for the reaction at this temperature.

3.

Consider the following reaction:

CO(g)+H2O(g)⇌CO2(g)+H2(g)
Kp=0.0611 at 2000 K

A reaction mixture initially contains a CO partial pressure of 1390 torr and a H2O partial pressure of 1790 torr at 2000 K.

Calculate the equilibrium partial pressure of CO2.

4.

The following reaction was performed in a sealed vessel at 735 ∘C :

H2(g)+I2(g)⇌2HI(g)

Initially, only H2 and I2 were present at concentrations of [H2]=4.00M and [I2]=2.55M. The equilibrium concentration of I2 is 0.0200 M . What is the equilibrium constant, Kc, for the reaction at this temperature?

The California Daily 3 lottery game is identical to the Pennsylvania Daily Number game describe in Example 15.15. The following table contains the observed distribution of all digits drawn in the California Daily 3 on the 200 days between May 14th, 2000, and November 29, 2000. Three digits are drawn each day, so the sample size is n = 600 for this table. (SHOW YOUR WORK)

table.
Digit    0   1   2   3 4   5 6   7   8 9
Count 49 61 64 62 50 64 59 65 63 63
(a) (3 points) State the null and alternative hypotheses using words and proper statistical notation.
(b) (1 point) Find the expected counts for each number, assuming each number is equally likely.
(c) (3 points) Calculate the chi-square goodness-of-fit statistic. Round your test statistic to two decimal places.
(d) (1 point) What are the degrees of freedom?
(e) (2 points) Find the p-value (Excel) and p-value range (Table).
(f) (2 points) Form a conclusion using the = 0:05 level of significance, and write it in the context of the
situation.

A businessman has an opportunity to invest in one of three mutually exclusive alternatives. The first alternative has a first cost of $7000, a uniform annual benefit of $2000, and a salvage value of $500. The second has a first cost of $3500, a benefit of $900 the first year, and increasing by $100 per year thereafter. Its salvage value is $400. The third alternative has a first cost of $8000, a benefit of $2000 the first year, and increasing by 2% each year thereafter. Its salvage value is $500. Assume all alternatives have a 10 year life, and the company’s MARR is 10%.

A) Use incremental rate of return analysis to determine which alternative is best. State the rates as percentages, formatted to two decimal places (i.e., xx.xx%).You can do this manually or using Excel… in either case, be sure to show all your work!

B) Plot the results on a graph for values of i from 0 – 50%, and construct a choice table. Assuming a MARR of 10%, which alternative would you choose?

C) Are the results from part “a” and “b” consistent? Briefly discuss… (in 1-2 sentences).

(if using excel please post code)

You are a manager at Das Köstliche Waffelhaus, a small food manufacturing firm specializing in the production of frozen waffles. The CEO of the company has asked you assess optimal profitability at one of your factories (factory A). Currently, factory A contains 3 AquaPruf series stainless steel conveyor systems for mixing and baking the waffles. These machines have an estimated monthly maintenance cost of $1500 each. Your firm also has an installed freezer system which costs $2000 per month total to operate. Labor is paid $2000 per month (each). Monthly unit production is approximately equal to 5000*L0.25 where L = the number of workers on the factory floor. Identify the optimal number of workers to hire and resulting production levels when the price per unit of waffles is $3.50, $5.00 and $6.50 (round to the nearest unit).