Two people decide to open a business reconditioning toner cartridges for copy machines. They rent a building for $7000/year and estimate that building maintenance, taxes, and insurance will cost$6500/year. Each person wants to make $12/h in the first year and will work 10 h per day for 260 days of the year. Assume that it costs$28 to restore a cartridge and that the restored cartridge can be sold for $45. How many cartridges must the business restore and sell annually to break even, not including the hourly wage the owners wish to earn?

Two people decide to open a business reconditioning toner cartridges for copy machines. They rent a building for $7000/year and estimate that building maintenance, taxes, and insurance will cost$6500/year. Each person wants to make $12/h in the first year and will work 10 h per day for 260 days of the year. Assume that it costs$28 to restore a cartridge and that the restored cartridge can be sold for $45.

Evaluate the integrals. $\int \frac{\ln x}{x} d x$

Harley collects sports cards. He has 360 football cards and 432 baseball cards. Harley plans to arrange his cards in stacks so that each stack has the same number of cards. Also, each stack must have the same type of card (football or baseball). Every card in Harley’s collection is to be placed in one of the stacks. What is the largest number of cards that can be placed in each stack?

Determine whether the geometric series given converges or diverges, and find the sum of the convergent series.

$$\frac{1}{2}-\frac{1}{2^{2}}+\frac{1}{2^{3}}-\frac{1}{2^{4}}+\cdots$$

Use what you know about statistical measures to explain which measure of center best describes the data set. Use the data below.

$$\begin{array}{| l | l |} \text{50} & \text{60} & \text{80}\\ \text{65} & \text{50} & \text{55}\\ \text{65} & \text{70} & \text{50}\\ \end{array}$$

Two people decide to open a business reconditioning toner cartridges for copy machines. They rent a building for $7000/year and estimate that building maintenance, taxes, and insurance will cost$6500/year. Each person wants to make $12/h in the first year and will work 10 h per day for 260 days of the year. Assume that it costs$28 to restore a cartridge and that the restored cartridge can be sold for $45. Write a linear function for the total cost C to operate the business and restore n cartridges during the first year, not including the hourly wage the owners wish to earn.

Two people decide to open a business reconditioning toner cartridges for copy machines. They rent a building for $7000/year and estimate that building maintenance, taxes, and insurance will cost$6500/year. Each person wants to make $12/h in the first year and will work 10 h per day for 260 days of the year. Assume that it costs$28 to restore a cartridge and that the restored cartridge can be sold for $45. As the company becomes successful and is selling and restoring 25 cartridges each day of the 260 days it is open, the entrepreneurs decide to hire a part-time employee 4 h per day for each of the 260 days that the business is open and to pay the employee$8/h. How many additional cartridges must be restored and sold each year just to cover the cost of the new employee? You can neglect employee costs such as social security, worker’s compensation, and other benefits.

State whether the sentence is true or false. If false, replace the underlined term to make a true sentence. The product of a number and its multiplicative inverse is

$$\underline { 1 }.$$

The author's rhetorical questions in paragraph 9 show: A) how vulnerable everyone is to mob psychology; B) that people generally don't value children; C) how most people do not love their stuff; D) that everyone is responsible for the tragedy, not only the people in the crowd.

A perfect number is a natural number that is equal to the sum of its factors, excluding the number itself. Determine whether or not each number is perfect. 28

Write a linear function for the total revenue R the business will earn during the fi rst

Simplify the given expressions. Express all answers with positive exponents. $\left(T^{-1}+2 T^{-2}\right)^{-1 / 2}$

Solve the given problems by setting up and solving appropriate inequalities. Graph each solution.

In designing plastic pipe, if the inner radius $r$ is increased by $5.00 \mathrm{cm},$ and the inner cross-sectional area is increased by between 125 $\mathrm{cm}^{2}$ and $175 \mathrm{cm}^{2},$ what are the possible inner radii of the pipe?