Suppose $a$ and $b$ are digits for which the product of the two-digit numbers $\underline{2a}$ and $\underline{ab}$ is 1971. find the sum of $a$ and $b$.

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.

Lo.2, 3, 9 lori, who is single, purchased 5-years class property for $200,00 and 7-years class property for $420,000 on may 20, 2018. lori experts the taxable income derived form the business (without regard to the amount expensed under ⧠179) to be about $550,000. lori has determined that she should elect immediate ⧠179 expensing in the amount of $520,000, but she doesn’t know which asset she should completely expense under ⧠179. she does not claim any available additional first-year depreciation. a. determine lori’s total cost recovery deduction if the ⧠179 expense is first taken with respect to the 5-year class asset. b. determine lori’s total cost recovery deduction if the ⧠179 expense is first taken with respect to the 7-year class asset. c. what is your advice for lori? d. assume that lori is in the 24% marginal tax bracket and that she uses ⧠179 on the 7-year asset. determine the present value of the tax savings from the depreciation deductions for both assets. see appendix g for present value factors, and assume a 6% discount rate. e. assume the same facts as in part (d), except that lori decides not to use ⧠179 on either asset. determine the present value of the tax savings under this choice. in addition, determine which option lori should choose. f. present your solution to parts (d) and (e) of the problem in a spreadsheet using appropriate microsoft excel formulas. e-mail your spreadsheet to your instructor with a two-paragraph summary of your findings.

Conor is 21 years old and just started working after college. he has opened a retirement account that pays 2.5% interest compounded monthly. he plans on making monthly deposits of $200. how much will he have in the account when he reaches 591 years of age?