Companies in the United States are ranked by revenue, growth, number of employees, return to investors, or profit. As the economy changes, companies pursue inventive approaches to remain financially viable in the marketplace. Use the bar graph to answer the question.

How many of these companies had revenues under $\$ 100,000,000,000$?

Find the product.

12 X $34,580

Find the sum.

$8,500 +$1,280 + $575

Find the sum.

564 + 183

Answer these questions about the COLA wage calculations.

What was the CPI at the end of the year?

Review these math skills and solve the exercises that follow.

Add who le numbers and money amounts. Find the sum. $2,450 +$886 = $3,336

1a.$763 + $827

lb. 490 + 53

1e. 215 + 85

Find the sum.

$12,451 +$781 + $26.02

Review these ma th skills and solve the exercises that follow.

Add money amounts. Find the sum. $0.86 +$17.41 = $18.27

1a.$0.39 + $10.64

1b.$1,806 + $31,098

Douglas Kerr's employer will match his contribution to a $401(\mathrm{k})$. The matching amount will be a dollar-for-dollar match not to exceed $6 \%$ of his salary. In 2004, Douglas's salary was $\$ 36,470$. If he contributed $\$ 2,000$, what would be the total amount contributed to the plan? What would be the total amount contributed to the plan if he contributed $\$ 4,000$?

Review these math skills and solve the exercises that follow.

Multiply dollar amounts by whole numbers . Find the product. 8 X $35.50 =$284

1a. 52 X $5,600

1b. 12 X$3,765

There is considerable evidence to support the theory that for some species there is a minimum population $m$ such that the species will become extinct if the size of the population falls below $m$. This condition can be incorporated into the logistic equation by introducing the factor $(1 - m/P)$. Thus the modified logistic model is given by the differential equation

$$\dfrac{dP}{dt} = kP\left(1 - \dfrac{P}{M}\right)\left(1 - \dfrac{m}{P}\right)$$

Use the differential equation to show that any solution is increasing if $m < P < M$ and decreasing if $0 < P < m$.

A herd of large mammals has a population $P(t)$ that fluctuates periodically with the seasons and satisfies a differential equation of the form given in exercise, where $t$ is measured in years. Initially, there are $P(0)=3,000$ animals in the herd, and it is observed that the populations after 3 months and 6 months, respectively, are

$$P\left(\frac{1}{4}\right)=2,800 \text { and } P\left(\frac{1}{2}\right)=3,200$$

a. Use this information to determine $P(t)$. That is, find the parameters $a$ and $b$ in the formula obtained in given exercise.

b. What will the population be after $9$ months $\left(t=\frac{3}{4}\right)$ ? After $1$ year?

c. When during the first year $(0 \leq t \leq 1)$ is the population of the herd the largest? What is the maximum population?

d. Answer the questions in part (c) for the minimum population of the herd.

Your friends show you an image through a microscope. They tell you that the microscope has an objective with a 0.500 cm focal length and an eyepiece with a 5.00 cm focal length. The resulting overall magnification is 250,000. Are these viable values for a microscope?

Your friends show you an image through a microscope. They tell you that the microscope has an objective with a 0.500-cm focal length and an eyepiece with a 5.00-cm focal length. The resulting overall magnification is 250,000. Are these viable values for a microscope?