The Buster Green Shoe Company determines that the annual cost C of making x pairs of one type of shoe is $30 per pair plus$100,000 in fixed overhead costs. Each pair of shoes that is manufactured is sold wholesale for $50. Find how many pairs of shoes must be made and sold in order to break even.

Reggie invests $12,000, part at 7% annual interest and part at 8.5% annual interest. How much is invested at each rate if Reggie’s total annual interest is$900?

When a number is added to its double and its triple, the sum is 714. Find the three numbers.

The management of Kaldor, a manufacturer of electric motors, submitted the following data in the annual report to its stockholders. The data shows the net sales (in millions of dollars) during the 5 years that have elapsed since the new management team took over. (The first year the firm operated under the new management corresponds to the time period x = 1, and the four subsequent years correspond to x = 2, 3, 4, 5.): (1, 426), (2, 437), (3, 460), (4, 473), (5, 477). Determine the equation of the least-squares line for these data.

John's company issues employees a contract that identifies salary and the company's contributions to pension, health insurance premiums, and disability insurance. The company uses the following formulas to calculate these values.

$$\begin{array}{cc} \hline \text { Salary } & x \text { (dollars) } \\ \hline \text { Pension } & 12 \% \text { of salary } \\ \text { Health Insurance } & 3 \% \text { of salary } \\ \text { Disability Insurance } & 0.4 \% \text { of salary } \\ \hline \end{array}$$

If John's total contract with benefits is worth $48,814.20, what is his salary?

Why might an industry group have higher 5-year average returns on equity than do other industries?

a. It is a lower-risk industry.

b. It is a higher-risk industry.

c. It is a high-growth industry.

d. None of these.

Match the numerical model to the corresponding graphical model (a-j) and algebraic model (k-t)

a. The graph is increasing line passing through the points (2, 4), and (4, 10).

b. The graph is an increasing line passing through the points (3,0), and (1,5).

c. The graph is an increasing curve from the point (4,0) to positive infinity.

d. The graph is an increasing line that passes through the origin and (3,6).

e. The graph is decreasing curve from the quadrant II to quadrant IV. The curve passing through the coordinates (0,40), and (6.2, 0).

f. The graph is an increasing curve from the quadrant II to quadrant I. The curve passing through the coordinates (0,3), and (6, 40).

g. The graph is an increasing line from the quadrant III to quadrant I. The curve passing through the coordinates (3,0), and (16, 6).

h. The graph is decreasing line from the quadrant II to quadrant I. The curve passing through the coordinates (0,100), and (40,30).

i. The graph is part of the parabola with vertex (0,-2), and passing through the coordinate (-3,8).

j. The graph is part of the parabola with vertex (0,-10), and passing through the coordinate (30,650).

k. y = x^2 + x

l. y = 40 - x^2

m. y = (x+1) (x-1)

n. y = square root of (x-3)

o. y = 100 - 2x

p. y = 3x - 2

q. y = 2x

r. y = x^2 + 2

s. y = 2x + 3

t. y = (x-3)/ 2

$$\begin{array}{|c|c|c|c|c|c|c|} \hline x & 5 & 10 & 15 & 20 & 25 & 30 \\ \hline y & 90 & 80 & 70 & 60 & 50 & 40 \\ \hline \end{array}$$

Which of the following are effective ways for managers to try to boost a company's stock price?

• Increase the company's dividend payments to shareholders each year, keep the company's credit rating at A (or above), strive to increase the company's retained earnings by 5%, and not issue more than 5,000 shares of common stock in any one year.
• Repurchase shares of common stock and aggressively pursue efforts to achieve annual increases in earnings per share that meet or beat investor expectations.
• Make every effort to achieve a branded market share in each geographic region at least equal to the industry average, keep the company's dividend payout ratio in the range of 50%, and repurchase shares of common stock.
• Spend amounts on corporate citizenship and social responsibility that are above the industry average, boost the company's dividend payout ratio to more than 100%, charge prices for branded footwear that are below the industry average in each geographic region, and issue sufficient shares of common stock to raise funds to pay off all long-term debt within 2 years.
• Cut the dividend to zero and issue additional shares of stock to increase the funds available for quickly paying off all long-term debt (ideally in no more than 2 years), then the company should avoid further use of long-term debt, strive to achieve and maintain a credit rating of A or A+, and declare a dividend each year that equals projected EPS

Ruth is weighing two job offers from the sales departments of two competing companies. One offers a base salary of $25,000 plus 5% of gross sales; the other offers a base salary of$20,000 plus 7% of gross sales. What would Ruth’s gross sales total need to be to make the second job offer more attractive than the first?

When is it logical to use 22/7 instead of 3.14 for π?

In the following exercise, use $f(x)=x^2+1$, g(x)=2x+3.

g(f(0))

The scatter plot shows the students' scores for Quiz 1 and Quiz 2.

a. What is the Quiz 1 score for a student who earned a score of 13 on Quiz 2?

b. Did any student(s) earn the same score on both Quiz 1 and Quiz 2?

c. Does there appear to be a difference between the Quiz 1 scores and the Quiz 2 scores? Explain.

Tell which type of regression is likely to give the most accurate model for the scatter plot shown without using a calculator.

The regression looks like a parabola opening upward.

(a) Linear regression

(b) Quadratic regression

(c) Cubic regression

(d) Exponential regression

(e) Sinusoidal regression

Jackie invests $25,000, part at 5.5% annual interest and the balance at 8.3% annual interest. How much is invested at each rate if Jackie receives a 1-year interest payment of$1571?