How did the colonists exercise "choice" during the Enlightenment and Great Awakening? (This is so very important because since the colonists are 3,000 miles away from their monarchs and parliaments in Europe they are more able to exercise "choice" and they don't like it when that choice is taken away.

#3. Miles Driven Car age (year) Maintenance cost
--------------- ----------------- ---------------
16,320    7       $1,200
15,100                8       1,400
18,500                8         1,820
10,200                3        900
9,175                  3       650
12,770                7     1,150
8,600                 2       875
7,900                 3      900

1. Using Excel develop two linear regressions: one for maintenance cost using as a function of mileage, and the second one for maintenance cost as a function of car’s age.

2. Are both regressions adequate (look at value of Significance)? What are the coefficients of determination for those regression equations? (what does the value mean?)

3. Explain what do values of the coefficients a and b mean? (in the eq. y = a + b*x)

4. Using your result do forecasts for the maintenance costs for the 5 years old police car with 10 thousand miles driver per year. Are the forecasts the same? If not why?

Stephanie, a student would like to buy a reliable car. She has found a silver 2014 Toyota, Corolla for $15,000 at Michael Toyota in Fresno and a white 2015 Honda, Civic for $14,500 at Clawson Honda. The Corolla has 30,000 miles while the Civic has 40,000 miles. Michael Toyota offers her a 4.1% interest rate for 48 months, while Clawson Honda offers her 4.2% interest for 48 months. Whichever car she chooses to buy, she will pay taxes on it at 7.8%, smog fee of $50 and administrative fee of $250. If she has $2,000 to put as down payment, please answer the following questions to help her decide which car to buy.

1. How much is the total cost of each car, including taxes, smog fee, and administrative fee?

Abdul is making a map of his neighborhood. He knows the following information:

• His home, the middle school, and high school are all on the same street.
• His home, the elementary school, and his friend's house are on the same street.
• The distance between home and the middle school and between home and the elementary school is 3 miles.
• The distance between the high school and the middle school and between his friend's house and the elementary school is 6 miles.
• The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home.

What theorem can Abdul use to determine the two triangles are similar? (6 points)

You have a work trip next week and your boss asks you to rent a car. One choice of a rental car is a Hyundai Elantra which gets 40 miles per gallon. You will be gone for one day. The price of the rental car is $45.49 per day, plus tax (15.3%). When you pick up the car, it has a full tank of gas and you need to return it this way. You will be driving 132 miles each way. Gas costs $2.65 per gallon.

a)  What is the rental cost of the car for one day with tax?  Round to the nearest cent (two decimal places).   

b) How much will it cost you in gas?   

c) What is the total cost of using the car: rental cost plus gas?   

d) What is the cost of renting the car per mile, to four decimal places?

ABC Company has the following asset on its books: Using the double declining balance depreciation method, what is the depreciation expense in years 1 through 4.

                                Truck cost                             31,000

                                Salvage value                       1,000

                                Estimated life in years             4

                                Estimated life in miles      100,000

                                Miles driven in years 1 = 25,000, year 2 = 20,000, year 3 = 33,000, year 4 = 24,000

Question 9 options:

Cash for Clunkers:

A clunker that travels 12,000 miles a year at 15 mpg uses 800 gallons of gas a year. A vehicle that travels 12,000 miles a year at 25 mpg uses 480 gallons a year.

The government claims 700,000 vehicles were exchanged so that's 224 million gallons saved per year.

That equates to a bit over 5 million barrels of oil.

To put this perspective, 5 million barrels is about 5 hours worth of US consumption.

More importantly, 5 million barrels of oil at $95 per barrel costs about $475 million dollars.

The government PAID $3 BILLION to save $475 million.

What is the ROI ? s

Do you think it was worth it?

I am confuse on which number is should use to get my ROI. Can you hlep me solve this problem

An analyst wants to determine whether the cost of a flight depends on the distance. She collects a set of data of the round-trip fare for flights between Boston and some other cities on major airlines and the distance between cities. The following table gives the descriptive statistics of the distance (in miles) and the cost (in dollars). Mean Standard Deviation Miles (x) 1650.4 1074.4 Costs (y) 291 111.71 r = 0.9352 Compute the coefficient of determination and interpret your answer.

a. 93.53% of total variations on the y-variable (Cost of the flight) can be explained by the regression line

b. 87.46% of total variations on the y-variable (Cost of the flight) can be explained by the regression line

c. There is a positive, strong linear relationship between the cost of the flight and the distance

d. There is a positive, weak linear relationship between the cost of the flight and the distance e. None of the choices