Two ships, A and B, leave port at the same time. Ship A travels northwest at 21 knots and ship B travels at 26 knots in a direction 34° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What are (a) the magnitude (in knots) and (b) direction (measured relative to east) of the velocity of ship A relative to B? (c) After how many hours will the ships be 200 nautical miles apart? (d) What will be the bearing of B (the direction of the position of B) relative to A at that time? (For your angles, takes east to be the positive x-direction, and north of east to be a positive angle. The angles are measured from -180 degrees to 180 degrees. Round your angles to the nearest degree.)

Jackson, a self-employed taxpayer, uses his automobile 90% for business and during 2019 drove a total of 14,000 business miles. Information regarding his car expenses is listed below.

What is Jackson’s deduction in 2019 for the use of his car if he uses:

1. The actual cost method?

2. The automatic mileage method?

3. What records must Jackson maintain?

The accompanying table shows a portion of a data set that refers to the property taxes owed by a homeowner (in $) and the size of the home (in square feet) in an affluent suburb 30 miles outside New York City.

Predict the property taxes for a 1,500-square-foot home. (Round coefficient estimates to at least 4 decimal places and final answer to 2 decimal places.)

A state conducts a study that shows strong negative correlation between residents' life expectancy and number of breweries within 2 miles of the residents. The state concludes that if they mandate a decrease in the number of breweries life expectancy will go up. Select all true statements and explain why.

A. The state's conclusion is correct as long as the correlation measures strong linear association with no distorting outliers.

B. We can use this study to conclude that proximity to breweries causes life expectancy to decrease.

C. There may be a lurking variable that explains this association.

D. As long as the study was done on random and independent residents, and shows strong negative correlation with no distorting outliers, we can conclude that there is an association between life expectancy and proximity to breweries.

        According to a 2017 AAA survey, 35% of Americans planned to take a family vacation (a vacation more than

       50 miles from home involving two or more immediate family members).  Suppose a recent survey of 300

       randomly selected Americans found that 115 planned on taking a family vacation.  Use a significance level

        to test the claim that the proportion of Americans planning a family vacation has changed since 2017.

       a)  State the hypotheses.                                                               

       b)  Calculate the test statistic.

       c)  Find the P-value and the critical value(s).  Label the value(s) you found on the sketches below.

       d)  State the initial conclusion regarding the null hypothesis .

       e)  State the final conclusion in your own words that addresses the original claim.

Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test and if the variance of MPG is the same, Driver Manufacturer A Manufacturer B 1 32 28 2 27 22 3 26 27 4 26 24 5 25 24 6 29 25 7 31 28 8 27 27 Refer to Exhibit 6. The test statistic and the p-value at 99% confidence level are

Indicate True (T) or False (F):

a. The 4-step network level transportation planning approach is suitable to estimate travel demand along a corridor.

b. Traffic assignment does not refer to the estimation of zonal trip productions and attractions.

c. A logit model is not used to estimate modal utilities.

d. Mobility does not represent the operational performance of a transportation system.

e. Maximization of consumer surplus does not represent the objective of maximization of benefit of public projects.

f. Ton-miles cannot be used as a measure of freight transportation demand.

g. A change in the level of service (or quality) of a transportation system cannot be represented by a shift in the supply curve.

h. Cross-sectional models can be used to model demand functions.

4. In the comics and movies, the Incredible Hulk often travels great distances by making huge leaps. According to Marvel.com, the Hulk is capable of leaping a horizontal distance of up to three miles (4.28 km) in a single leap.

a. What initial angle should the hulk jump at if he wants to maximize his horizontal distance?

b. What initial velocity must the Hulk jump with if he is going to reach a horizontal distance of 4.28 km.

c. What is the maximum height reached by the hulk during this jump.

d. When Hulk is at the maximum height, what is the magnitude and direction of his velocity?

The inventory consist of

Xo - x initial

X - x final

Vo - velocity initial

V - velocity final

a - accelerate

t - time

Sabel Co. purchased assembly equipment for $780,000 on January 1, Year 1. The equipment is expected to have a useful life of 260,000 miles and a salvage value of $26,000. Actual mileage was as follows: Year 1 72,000 Year 2 69,000 Year 3 58,000 Year 4 49,000 Year 5 16,000 Required Compute the depreciation for each of the five years, assuming the use of units-of-production depreciation. Assume that Sabel earns $236,000 of cash revenue during Year 1. Record the purchase of the equipment and the recognition of the revenue and the depreciation expense for the first year in the following financial statements model. Assume that Sabel sold the equipment at the end of the fifth year for $27,200. Calculate the amount of gain or loss on the sale.

On May 31, 2016, Sandals report purchased a truck at a cost of $160,000. before placing the truck into service, The company spend $2,500 painting it, $500 replacing tires, and $5,000 overhauling the engine. The truck should remain in service for 5 years and have a residual value of $7,500. The truck’s annual mileage is expected to be 15,000 in each of the first two years and 10,000 miles in the next three years. In deciding which depreciation method to use, the general manager request depreciation schedule for each of the depreciation methods (straight line, unit-of production, and double – declining-balance). work out each depreciation in the depreciation schedule. pass all transaction in the journal entry. journal entry must be included. show working out for each depreciation