A car has a tank that holds 12 3/8 gallons of gasoline. Mr. Brown fills his tank and drives along the highway until he runs out of gas. If his car averages 19 2/5 mpg, how far has he traveled?

The consumer priceindex for a new car in 1990 was 110.2, and in 1995 it was
136.5. If theprice of the car was $12,880 in 1990, what was theprice in 1995?
a. $15,362
b. $15,954
c. $16,060
d. $16,267

The consumer priceindex is a fixed-weight index. It compares theprice of a fixed bundle of goods in one year with theprice of the same bundle of goods in some base year. Calculate theprice of a bundle containing 200 units of good X, 150 units of good Y, and 100 units of good Z in the years 2011, 2012, and 2013. Then answer

Suppose that L has transcendence degree n over K and that L is algebraic over K(α1, . . . , αn). Show that α1, . . . , αn is a transcendence basis for L over K.
Might help:
Theorem - Definition: Let L be an extension of K, A a subset of L. The following are equivalent:
(1) A is a maximal algebraically

Please see the attachment to see these questions properly.
_____________________________________________
Question 1
If [K:F] is finite and u is algebraic over K ,prove that [F(u):F] divides [K(u):F]
Hint:[F(u):F] and [K(u):F(u)] are finite by Theorems 10.4,10.7 and 10.9
Apply Theorem 10.4 to
Theorem 10.4
Le

A. Use the data given to calculate annual returns for Bartman, Reynolds, and the Market Index, and then
calculate average returns over the five-year period. (Hint: Remember, returns are calculated by subtracting the
beginning price from the ending price to get the capital gain or loss, adding the divide

Can you help me get started with this assignment?
** Please see the attached problems on calculatingthepriceindex. **
Please answer in Excel.
Problem 1
Below is information on food items for the years 2000 and 2004.
2000 2004
Item Price Quantity Price Quantity
Margarine (pound) $0.81 18 $0.89 27

You are asked to help in setting the subscription rates of a monthly magazine. As expected, the major component of cost is fixed or sunk; so we ignore it in what follows. Variable cost including printing, shipping, and mailing comes to $30 per year per subscriber. The publisher has an extensive data set suggesting that annual