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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022 A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022 Which of the following is equivalent to the pair of inequalities x + 6>10 and $$x-3\le5$$
OG12 If x, y, and k are positive numbers such that $$(\frac{x}{x+y})({10})+(\frac{y}{x+y})({20})=k$$ and if $$x<{y}$$ which of the following could be the value of k?
OG12 This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r, what fraction of his income should Henry save this year so that next year the amount he has available to spend will be equal to half the amount that he spends this year?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022 if $${m}^{-1}=-\frac{1}{3}$$,then $${m}^{-2}$$ is equal to
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022 What is the difference between the sixth and the fifth terms of the sequence 2,4, 7,... whose $$n^{th}$$ term is $$n + {2}^{n-1}$$?
OG12 A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. What is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minute?
PREP08 Test 1 In the year following an eight-cent increase in the federal tax on a pack of cigarettes, sales of cigarettes fell ten percent. In contrast, in the year prior to the tax increase, sales had fallen one percent. The volume of cigarette sales is therefore strongly related to the after-tax price of a pack of cigarettes.Which of the following, if true, would most strengthen the argument above?
PREP08 Test 1 Which of the following most logically completes the argument below?Twenty percent of the stores in Morganville's downtown shopping district will fail within five years because they will be competing directly with the SaveMart discount department store newly opened in East Morganville. The downtown shopping district has lost business at this rate before and has always completely rebounded. Confidence that it will rebound again from the losses it is now about to suffer is ill founded, however, because __________.
PREP08 Test 1 Environmentalist: Snowmobiles in the park north of Milville create unacceptable levels of air pollution and should be banned. Milville Business Spokesperson: Snowmobiling brings many out-of-towners to Milville in the winter months, to the great direct financial benefit of many local residents. In addition, the money the town collects in fees for the recreational use of the park indirectly benefits all Milville residents. So, it is basic economics for us to put up with the pollution.Which of the following, if true, could best be used by the environmentalist to counter the business spokesperson's argument?
PREP08 Test 1 Journalist: Every election year at this time the state government releases the financial disclosures that potential candidates must make in order to be eligible to run for office. Among those making the required financial disclosure this year is a prominent local businessman, Arnold Bergeron. There has often been talk in the past of Mr. Bergeron's running for governor, not least from Mr. Bergeron himself. This year it is likely he finally will, since those who have discounted the possibility of a Bergeron candidacy have always pointed to the necessity of making financial disclosure as the main obstacle to such a candidacy.In the journalist's argument, the two boldfaced portions play which of the following roles?
PREP08 Test 1 Though sucking zinc lozenges has been promoted as a treatment for the common cold, research has revealed no consistent effect. Recently, however, a zinc gel applied nasally has been shown to greatly reduce the duration of colds. Since the gel contains zinc in the same form and concentration as the lozenges, the greater effectiveness of the gel must be due to the fact that cold viruses tend to concentrate in the nose, not the mouth.Which of the following, if true, most seriously weakens the argument?
PREP08 Test 2 Comcorp Shipping Clerk: Last week, no shipments of building supplies were sent out on Friday. The five specially ordered shipments sent out last week were sent out on Thursday, and each of those specially ordered shipments consisted entirely of building supplies. Four shipments were sent to Truax Construction last week, none of which consisted of building supplies.If the shipping clerk's statements are true, which of the following must also be true?
PREP08 Test 2 Citizens of Parktown are worried by the increased frequency of serious crimes committed by local teenagers. In response, the city government has instituted a series of measures designed to keep teenagers at home in the late evening. Even if the measures succeed in keeping teenagers at home, however, they are unlikely to affect the problem that concerns citizens, since most crimes committed by local teenagers take place between 3 p.m. and 6 p.m.Which of the following, if true, most substantially weakens the argument?
PREP08 Test 2 The country of Baurisia has, until now, been self-sufficient in both grain and meat. However, with growing prosperity in Baurisia has come a steadily increasing per capita consumption of meat, and it takes several pounds of grain to produce one pound of meat. Therefore, since per capita income in Baurisia is almost certain to rise further but increases in domestic grain production are highly unlikely, Baurisia is soon likely to become an importer of grain.Which of the following, if true, most seriously weakens the argument?
PREP08 Test 2 In Arumville, among those young children with elevated levels of lead in their blood, few live in houses containing lead-based paint, but many live in areas where vehicular traffic is heavy. These children's elevated blood-lead levels probably result from lead added to gasoline, since, although gasoline sold in and around Arumville has been lead-free since 1990, lead from vehicle exhaust remains in the soil for many years.Which of the following, if true, most strengthens the argument?
PREP08 Test 2 Which of the following most logically completes the argument?The growing popularity of computer-based activities was widely predicted to result in a corresponding decline in television viewing. Recent studies have found that, in the United States, people who own computers watch, on average, significantly less television than people who do not own computers. In itself, however, this finding does very little to show that computer use tends to reduce television viewing time, since __________.
PREP08 Test 2 Because of steep increases in the average price per box of cereal over the last 10 years, overall sales of cereal have recently begun to drop. In an attempt to improve sales, one major cereal manufacturer reduced the wholesale prices of its cereals by 20 percent. Since most other cereal manufacturers have announced that they will follow suit, it is likely that the level of overall sales of cereal will rise significantly.Which of the following would it be most useful to establish in evaluating the argument?
PREP08 Test 2 Which of the following most logically completes the passage?Using new detection techniques, researchers have found trace amounts of various medicinal substances in lakes and rivers. Taken in large quantities, these substances could have serious health effects, but they are present in quantities far too low to cause any physiological response in people who drink the water or bathe in it. Nevertheless, medical experts contend that eliminating these trace amounts from the water will have public health benefits, since __________.
PREP08 Test 2 One of the limiting factors in human physical performance is the amount of oxygen that is absorbed by the muscles from the bloodstream. Accordingly, entrepreneurs have begun selling at gymnasiums and health clubs bottles of drinking water, labeled "SuperOXY," that has extra oxygen dissolved in the water. Such water would be useless in improving physical performance, however, since the amount of oxygen in the blood of someone who is exercising is already more than the muscle cells can absorb.Which of the following, if true, would serve the same function in the argument as the statement in boldface?
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