Metro Department Store’s annual sales (in millions of dollars) during the past 5 years were

$$\begin{array}{lccccc} \hline \text { Annual Sales, } y & 5.8 & 6.2 & 7.2 & 8.4 & 9.0 \\ \hline \text { Year, } x & 1 & 2 & 3 & 4 & 5 \\ \hline \end{array}$$

Using the equation found in part (c), estimate Metro’s annual sales 4 years from now (x=9).

Metro Department Store’s annual sales (in millions of dollars) during the past 5 years were

$$\begin{array}{lccccc} \hline \text { Annual Sales, } y & 5.8 & 6.2 & 7.2 & 8.4 & 9.0 \\ \hline \text { Year, } x & 1 & 2 & 3 & 4 & 5 \\ \hline \end{array}$$

Plot the annual sales (y) versus the year (x).

Perform the indicated operations and/or simplify the expression.

$$\left( 3 x ^ { 2 } + 5 x y + 2 y \right) + \left( 4 - 3 x y - 2 x ^ { 2 } \right)$$

Suppose a and b are real numbers other than zero and that a>b. State whether the inequality is true or false for all real numbers a and b. $\frac{1}{a}>\frac{1}{b}$

Perform the indicated operations and/or simplify the expression.

$$\left( 7 x ^ { 2 } - 2 x + 5 \right) + \left( 2 x ^ { 2 } + 5 x - 4 \right)$$

Since the founding of the Equal Employment Opportunity Commission and the passage of equal-pay laws, the gulf between men’s and women’s earnings has continued to close gradually. At the beginning of 1990 (t=0), women’s wages were 68% of men’s wages, and by the beginning of 2000 (t=0), women’s wages were projected to be 80% of men’s wages. If this gap between women’s and men’s wages continued to narrow linearly, what percentage of men’s wages are women’s wages expected to be at the beginning of 2008?

Suppose a and b are real numbers other than zero and that a>b. State whether the inequality is true or false for all real numbers a and b. $a^{2}>b^{2}$

The equation $W=3.51 L-192$, expressing the relationship between the length L (in feet) and the expected weight W (in British tons) of adult blue whales, was adopted in the late 1960s by the International Whaling Commission.

ketch the straight line that represents the equation.

The equation $W=3.51 L-192$, expressing the relationship between the length L (in feet) and the expected weight W (in British tons) of adult blue whales, was adopted in the late 1960s by the International Whaling Commission.

What is the expected weight of an 80-ft blue whale?

Rationalize the numerator.

$$\frac { \sqrt [ 3 ] { x ^ { 2 } y } } { 2 x }$$

Rationalize the numerator. $\sqrt{\frac{2 y}{3 x}}$

As the United States continues to recover slowly from the Great Recession, spending on equipment and software is projected to rise. The following table gives the percentage change in equipment and software spending, seasonally adjusted, in 2013 (x = 0 corresponds to the first quarter of 2013):

$$\begin{matrix} \text{Quarter, x} & \text{0} & \text{1} & \text{2} & \text{3}\\ \text{Percent Change, y} & \text{1.3} & \text{3.8} & \text{6.0} & \text{8.2}\\ \end{matrix}$$

a. Plot the percentage change (y) versus the quarter (x). b. Draw a straight line L through the points corresponding to the first quarter and the fourth quarter. c. Derive an equation of the line L. d. If the trend continues, estimate the percentage change in spending on equipment and software in the first quarter of 2014.

Suppose a and b are real numbers other than zero and that a>b. State whether the inequality is true or false for all real numbers a and b. $\frac{a}{b}>1$

Using data compiled by the Admissions Office at Faber University, college admissions officers estimate that 55% of the students who are offered admission to the freshman class at the university will actually enroll.

If the desired freshman class size for the upcoming academic year is 1100 students, how many students should be admitted?