The area of the United States is about 6,000,000 square miles. The area of Hawaii is about 11,000 square miles. Use an indirect proof to show that at least one of the fifty states has an area greater than 120,000 square miles.

Palm oil is one of the world's most versatile raw materials. It is estimated that it is an ingredient in $50 \%$ of all products sold by a typical supermarket. It is used in a wide range of products from margarine, cereals, crisps, sweets and baked goods to soaps, washing powders and cosmetics but it is often listed as just 'vegetable oil'. So, its production benefits customers of these products. In addition, an estimated $1.5$ million small farmers grow the crop in Indonesia, along with about $500000$ people directly employed in the sector in Malaysia, plus those connected with related industries. The governments of these countries have encouraged production as it is a major export for these economies.

However, the industry has a poor image. Palm oil production has led to deforestation with a resulting negative impact on climate change. There has been substantial loss of wildlife habitat, even endangering the orangutan. Palm oil companies have been accused by community groups of driving native people off their land which is then used for palm oil production. Socially responsible businesses, such as KL Kepong in Malaysia, have agreed to an ethical code which aims to make palm oil production 'sustainable' with fair treatment for all local populations affected by it. However, many companies have been accused of breaking the code as there is no strong world body to stop them behaving irresponsibly. In any case, food manufacturers want to maximise profits and final consumers want the cheapest raw materials possible.

Analyse the impact on these two stakeholder groups of a decision by KL Kepong to close one of its palm oil plantations

During the $1990$s, General Electric put together a long string of consecutive quarters in which the firm managed to meet or beat the earnings forecasts of Wall Street stock analysts. Some skeptics wondered if GE “managed" earnings to meet Wall Street's expectations, meaning that GE used accounting gimmicks to conceal the true volatility in its business. How do you think GE's long run of meeting or beating earnings forecasts affected its cost of capital? If investors learn that GE's performance was achieved largely through accounting gimmicks, how do you think they would respond?

The first bridge over the Piscataqua River, built in $1794$, was the longest bridge in the world. The modern bridge, completed in $1971$, is not the world's longest, but it is well known for its elegant symmetric design. The bridge connects Kittery, Maine with Portsmouth, New Hampshire.

Does the Piscataqua River Bridge have any lines of symmetry? If so, make a simple sketch of the bridge and draw all of its lines of symmetry.

Identify the opinion contained in the statement below. If the statement contains no opinions, write none.

Example: Daw Aung San Suu Kyi is the daughter of General Aung San, the wildly popular founder of modern Burma, or Myanmar.

Answer: wildly popular

By the time she was awarded the Nobel Prize in $1991$, she har already been under house arrest for two years.

Explain the design of the type of gas container shown in the illustrations and graphs in Lesson 3.

You want to create a circuit from the following materials: a battery, copper wire, a switch, and three light bulbs. Design your circuit so that the light bulbs shine as brightly as possible. Draw a circuit diagram to reflect your design.

The following are nine technical accounting terms introduced or emphasized in this chapter:

$$\begin{array}{lll}\text { Responsibility margin } & \text { Transfer price } & \text { Common fixed costs } \\ \text { Contribution margin } & \text { Cost-plus transfer price } & \text { Traceable fixed costs } \\ \text { Performance margin } & \text { Product costs } & \text { Committed fixed costs }\end{array}$$

Each of the following statements may (or may not) describe one of these technical terms. For each statement, indicate the accounting term described, or answer "None" if the statement does not correctly describe any of the terms.

c. Fixed costs that are readily controllable by the manager.

How can you determine whether there is an interaction in the two-factor factorial design?

How do you think a mobilization effort such as the one that occurred in the early 1940s would affect the United States today? Explain your answer.

According to the Federal Bureau of Investigation, there is a violent crime in the United States every 22 seconds ( $A B C$ News, September 25, 2007). Assume that the time between successive violent crimes is exponentially distributed.

a. What is the probability that there is a violent crime in the United States in the next one minute?

b. If there has not been a violent crime in the previous minute, what is the probability that there will be a violent crime in the subsequent minute?

Modern halogen lightbulbs allow their filaments to operate at a higher temperature than the filaments in standard incandescent bulbs. For comparison, the filament in a standard lightbulb operates at about $2900 \mathrm{~K}$, whereas the filament in a halogen bulb may operate at $3400 \mathrm{~K}$. The human eye is most sensitive to a frequency around $5.5 \times 10^{14} \mathrm{~Hz}$. Which bulb produces a peak frequency closer to this value?

The mailroom employees send all remittances and remittance advices to the cashier. The cashier deposits the cash in the bank and forwards the remittance advices and duplicate deposit slips to the Accounting Department.

a. Indicate the weak link in internal control in the handling of cash receipts.

b. How can the weakness be corrected?

Write the following sets:

(a) The set of letters used in the sentence “List the elements in a set only once.”

(b) The set of letters that are needed to spell these words: team, meat, mate, and tame

(c) The set of states in the United States that contain the letter Q