Define the following propositions: j: Sally got the job. l: Sally was late for her interview r: Sally updated her resume. Express each pair of sentences using logical expressions. Then prove whether the two expressions are logically equivalent. (a) If Sally did not get the job, then she was late for her interview or did not update her resume. If Sally updated her resume and did not get the job, then she was late for her interview. (b) If Sally did not get the job, then she was late for her interview or did not update her resume. If Sally updated her resume and was not late for her interview, then she got the job. (c) If Sally got the job then she was not late for her interview. If Sally did not get the job, then she was late for her interview. (d) If Sally updated her resume or she was not late for her interview, then she got the job. If Sally got the job, then she updated her resume and was not late for her interview.

The market price of cheeseburgers in a college town increased recently, and the students in an economics class are debating the cause of the price increase. some students suggest that the price increased because the price of beef, an important ingredient for making cheeseburgers, has increased. other students attribute the increase in the price of cheeseburgers to a recent increase in college student enrollment.1. the first group of students thinks the increase in the price of cheeseburgers is due to the fact that the price of beef, an important ingredient for making cheeseburgers, has increased. (what happened to demand and supply, shift to the right or left)2. the second group of students attributes the increase in the price of cheeseburgers to the increase in college student enrollment. (what happens to demand and supply, shift to the right or left)3. suppose that both of the events you analyzed above are partly responsible for the increase in the price of cheeseburgers. based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the increase in the price of cheeseburgers? (choose a, b,c, or d)a)if the price increase was small, then the supply shift in the market for cheeseburgers must have been larger than the demand shift.b)if the equilibrium quantity of cheeseburgers decreases, then the demand shift in the market for cheeseburgers must have been larger than the supply shift.c)if the equilibrium quantity of cheeseburgers decreases, then the supply shift in the market for cheeseburgers must have been larger than the demand shift.d)whichever change occurred first must have been the primary cause of the change in the price of cheeseburgers.

You've arrived at the pecan shellers conference—your first networking opportunity. naturally, you're feeling nervous, but to avoid seeming insecure or uncertain, you've decided to a. speak a little louder than you would normally. b. talk on your cell phone as you walk around. c. hold an empowered image of yourself in your mind. d. square your shoulders before entering the room.

Consider 8.5 percent swiss franc/u.s. dollar dual-currency bonds that pay $666.67 at maturity per sf1,000 of par value. it sells at par. what is the implicit sf/$ exchange rate at maturity? will the investor be better or worse off at maturity if the actual sf/$ exchange rate is sf1.35/$1.00