Use the table for the question(s) below . Consider the following expected returns, volatilities, and correlations: Stock Expected Return Standard Deviation Correlation with Duke Energy Correlation with Microsoft Correlation with Wal Mart − Duke Energy 14% 6% 1.0 1.0 − 0.0 Microsoft 44% 24% 1.0 − 1.0 0.7 Wal Mart − 23% 14% 0.0 0.7 1.0 Which of the following combinations of two stocks would give you the biggest reduction in risk? A. Microsoft and Duke Energy B. Duke Energy and Wal Mart − C. Wal Mart and Microsoft − D. No combination will reduce risk.

Part 1:

You wish to create a buffer with the pH equal to the pKa. If the following combinations were dissolved in 1.0 L of water, which combination(s) would accomplish that goal?

1) 1.0 mole of HF and 1.0 mol of NaF

2) 1.0 mole of HF and 1.0 mol of NaOH

3) 1.0 mole of NaF and 1.0 mol of HCl

4) 1.0 mole HF and 0.5 mol NaOH

A

1, 2, 3, and 4

B

1 only

C

1 and 4 only

D

None of these

E

2, 3 and 4 only

Part 2:

Nitrous acid has a Ka of 4.0E-4. In 1.00 L of solution, 0.700 moles of nitrous acid (HNO2) are added to 0.265 moles of NaOH. What describes the end result?

A

A solution of weak acid in water

B

A buffer solution in water

C

A solution of strong base in water

D

None of these

E

A solution of a strong acid in water

Part 3:

Nitrous acid has a Ka of 4.0E-4. in 1.00 L of solution, 0.700 moles of nitrous acid (HNO2) are added to 0.265 moles of NaOH. What is the final pH?

The Tower Hotel has two operating departments: Rooms and F&B. 69% of the hotel’s total revenue is earned from room sales and the remaining revenue is earned from F&B sales. Rooms department’s contribution margin ratio is 65% and F&B department’s contribution margin ratio is 54%. If the fixed cost of the hotel is $411,206, and the management is targeting a before-tax profit of $146,476, what is the required sales revenue? (Rounded to whole numbers)

A hotel is looking to replace its outdated alarm system to comply with safety standards. It has two options: System A costs $35,000 and lasts nine years. System B costs $22,000 and lasts six years. Maintenance throughout the year will cost $2,000 for System A and $3000 for System B, recognized at the end of each year. The hotel’s cost of capital is 10%. Which alarm system should the hotel choose? (Please Show work and explain answer)

Steve and Elsie are camping in the desert, but have decided to part ways. Steve heads north, at 8 AM, and walks steadily at 2 miles per hour. Elsie sleeps in, and starts walking west at 2.5 miles per hour starting at 10 AM.

When will the distance between them be 25 miles? (Round your answer to the nearest minute.)

An automobile manufacturer claims that the new model gets an average of 30 miles per gallon on the highway, with a standard deviation of 5 miles. However, when a consumer group drove 100 cars on the highways. the group found the average mileage was 28.5 miles. what can the consumer group assert with 99% confidence? check your answer with the p-value test?

Box in answer please and clarify writing as I am comparing work.

At 1:00 PM, ship A is 80 miles west of ship B. Ship A is sailing east at 25 miles per hour while ship B is sailing north at 20 miles per hour. Find the rate of change of the distance between the ships at 3:00 PM.

50 employees of a company are selected at random and asked how far they commute to work each day. The mean distance (in miles) of 50 employees of a company is 27.9 miles and the standard deviation of the 50 commute distances is 11.5 miles. Use a single value to estimate the mean distance traveled by an employee from that company. Also, find the 95% confidence interval.