1. Wayne's bank charges a $1.50 service charge for every transaction. To save money, he withdraws $80 cash every other week instead of withdrawing $40 every week. Does Wayne's logic make sense? Use a quantitative argument to support your answer. 2. The population of the United States is roughly 326 million. The land area of the United States is roughly 3,536,000 square miles. Express this as the number of people per square mile. Round your answer to the nearest whole number. 3. The hard drive of the computer has a capacity of 12 gigabytes. (The prefix "giga" means 1 billion.) Write the equivalent number of bytes using scientific notation. 4. Paul and Saul ran a 50-meter race. When Paul crossed the finish line, Saul had run only 48 meters. Then they ran a second race, with Paul starting 2 meters behind the starting line. Assuming that both runners ran at the same pace as in the first race, who won the second race? How do you know? (A sketch might be helpful.) 5. When a coin is tossed n times, there are 2" (2 raised to the power of n) possible results. For example, if a coin is tossed three times, there are 23 = 8 possible results. How many more possible results are there when a coin is tossed ten times than when it is tossed eight times? 6. From The New York Times, Feb 20, 2009, in a column by Alice Waters and Katrina Heron with that headline: How much would it cost to feed 30 million American schoolchildren a wholesome meal? It could be done for about $5 per child, or roughly $27 billion a year, plus a one-time investment in real kitchens. a. There are three numbers in the paragraph. Are they reasonable? Are they consistent with each other and with other numbers you know? 7. Evaluate_- 4 . (5 + 2)2 - 4 . (6 - 4)2. 8. On Sunday, March 4, 2012 Anthony Doerr asked in The Boston Globe: Have you ever done the math? If you're lucky enough to have 70 years of literate adulthood, and if you read one book every week, you're still only going to get to 3,640 books. Then you die. If you consider that the Harvard University Library system's collection is counted in the tens of millions, or that a new book of fiction is published every 30 minutes, 3,640 doesn't seem like so many. a. Confirm that 70 years of reading one book per week would amount to 3,640 books read in a lifetime. b. How many people reading one book per week during their lifetime would it take to read all the books in the Harvard University Library system (~16 million books)? If you read one book of fiction each week this year, what percent of all the fiction published this year will you have read