On January 1, Year 1, Rex Carr’s Driving School, Inc., purchased $550,000 of vehicles (Equipment) with an estimated useful life of 10 years or 100,000 miles and a $50,000 salvage value. The vehicles were driven 20,000 miles in Year 1 and 30,000 miles in Year 2.

Record the effect of the adjusting entry to record depreciation for Year 2 using the straight-line method:
If no effect, select "No Effect"

Melissa recently paid $610 for round-trip airfare to San Francisco to attend a business conference for three days. Melissa also paid the following expenses: $385 fee to register for the conference, $335 per night for three nights’ lodging, $300 for meals, and $175 for cab fare.

a. What amount of the travel costs can Melissa deduct as business expenses?

b. Suppose that while Melissa was on the coast, she also spent two days sightseeing the national parks in the area. To do the sightseeing, she paid $1,660 for transportation, $910 for lodging, and $375 for meals during this part of her trip, which she considers personal in nature. What amount of the travel costs can Melissa deduct as business expenses?

c. Suppose that Melissa’s permanent residence and business was located in San Francisco. She attended the conference in San Francisco and paid $385 for the registration fee. She drove 75 miles over the course of three days and paid $170 for parking at the conference hotel. In addition, she spent $475 for breakfast and dinner over the three days of the conference. She bought breakfast on the way to the conference hotel and she bought dinner on her way home each night from the conference. What amount of these costs can Melissa deduct as business expenses?

Consider a sharp crested (uncontracted horizontal) rectangular weir 1.0 m long and 0.8 m high. The channel receives a flow of 0.3 m3 /sec. What will be the depth and velocity in the channel?

The analytics department of a public transit service group is trying to forecast the future number of passengers using the University subway station during the Fall term. During the first 10 days of September, the team count the number of passengers entering and exiting the station between 8:00am to 10:00pm.
Day   # Passengers
1   2250
2   2100
3   2150
4   2450
5   2250
6   2500
7   2300
8   2650
9   2350
10   2600

a)   Compute manually (show your formulas) the forecast for days 1-4 using the exponential smoothing method with an alpha of 0.3.
b)   Now switch to Excel and compute the exponential smoothing forecasts for days 11 and 12 (again using an alpha of 0.3). (Show your Excel Formulas)
c)   Reforecast days 11 and 12 using an alpha of 0.7.
d)   Compare how well the model forecast for periods 8-10 for alpha = 0.3 vs alpha =0.7. Which one was better? Explain.

Kate recently invested in real estate with the intention of selling the property one year from today. She has modeled the returns on that investment based on three economic scenarios. She believes that if the economy stays healthy, then her investment will generate a 30 percent return. However, if the economy softens, as predicted, the return will be 10 percent, while the return will be -25 percent if the economy slips into a recession.

1) If the probabilities of the healthy, soft, and recessionary states are 0.6 , 0.3 , and 0.1 , respectively, then calculate the coefficient of variation for the investment?

2) Barbara is considering investing in a stock and is aware that the return on that investment is particularly sensitive to how the economy is performing. Her analysis suggests that four states of the economy can affect the return on the investment. Using the table of returns and probabilities below calculate the coefficient of variation for the investment?

3) Ben would like to invest in gold and is aware that the returns on such an investment can be quite volatile. Use the following table of states, probabilities, and returns and calculate the coefficient of variation for the investment?

EXPECTED RETURN

A stock's returns have the following distribution:

1. Calculate the stock's expected return. Round your answer to two decimal places.
   %

2. Calculate the stock's standard deviation. Do not round intermediate calculations. Round your answer to two decimal places.
   %

3. Calculate the stock's coefficient of variation. Round your answer to two decimal places.

EXPECTED RETURNS

Stocks A and B have the following probability distributions of expected future returns:

1. Calculate the expected rate of return, r_B, for Stock B (r_A = 9.90%.) Do not round intermediate calculations. Round your answer to two decimal places.
   %

2. Calculate the standard deviation of expected returns, σ_A, for Stock A (σ_B = 27.01%.) Do not round intermediate calculations. Round your answer to two decimal places.
   %

3. Now calculate the coefficient of variation for Stock B. Round your answer to two decimal places.

The following are distances (in miles) traveled to the workplace by 17 employees of a certain hospital.

What is The 25^th percentile?

What is the 70th percentile?

For a satellite at a height of 25,000 miles, at what speed must the satellite be traveling to achieve a circular orbit? (A score of 100% will tell you that you have achieved a circular orbit).

In each of parts​ (a)-(c), we have given a likely range for the observed value of a sample proportion p. Based on the given​ range, identify the educated guess that should be used for the observed value of p to calculate the required sample size for a prescribed confidence level and margin of error.

a. 0.2 to 0.3

b. 0.1 or less

c. 0.3 or greater

Using all the data below, construct an empirical model using a computational tool (matlab, or R, any preferred). explain your model.

Data Description: These data are from a NIST study involving calibration of ozone monitors. The response variable (y) is the customer's measurement of ozone concentration and the predictor variable (x) is NIST's measurement of ozone concentration. MATLAB Row Vectors: xLst = [0.2, 337.4, 118.2, 884.6, 10.1, 226.5, 666.3, 996.3, 448.6, 777.0, 558.2, 0.4, 0.6, 775.5, 666.9, 338.0, 447.5, 11.6, 556.0, 228.1, 995.8, 887.6, 120.2, 0.3, 0.3, 556.8, 339.1, 887.2, 999.0, 779.0, 11.1, 118.3, 229.2, 669.1, 448.9, 0.5];

yLst = [0.1, 338.8, 118.1, 888.0, 9.2, 228.1, 668.5, 998.5, 449.1, 778.9, 559.2, 0.3, 0.1, 778.1, 668.8, 339.3, 448.9, 10.8, 557.7, 228.3, 998.0, 888.8, 119.6, 0.3, 0.6, 557.6, 339.3, 888.0, 998.5, 778.9, 10.2, 117.6, 228.9, 668.4, 449.2, 0.2];