Mike is divorced. His dependent daughter, Sara, lived with him all year. Property taxes of $1,000 and mortgage interest of $4,000 on the home where he and Sara live are divided equally with his ex-wife. Mike paid the utilities of $100 per month. What portion of the yearly household expenses allows him to qualify for head of household filing status

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.

When color is used on a topographical drawing, black is used to represent what?

Emily spent her summer vacation in buenos aires, argentina, where she got plastic surgery for a fraction of what it would cost in the united states. this is an example of: