The rate of depreciation (in dollars per year) for a certain truck is given by the function below, where t is in years and tequals0 is the year of purchase. f(t)equalsstartfraction 5800 (0.4 plus 0.24 t )over (1 plus 0.4 t plus 0.12 t squared )squared endfraction (a) find the total depreciation at the end of 3 years. (b) how long will it take for the total depreciation to be at least $2900?

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.

The following account balances at the beginning of january were selected from the general ledger of fresh bagel manufacturing company: work in process inventory $0 raw materials inventory $ 28 comma 100 finished goods inventory $ 40 comma 600 additional data: 1. actual manufacturing overhead for january amounted to $ 65 comma 000. 2. total direct labor cost for january was $ 63 comma 400. 3. the predetermined manufacturing overhead rate is based on direct labor cost. the budget for the year called for $ 255 comma 000 of direct labor cost and $ 382 comma 500 of manufacturing overhead costs. 4. the only job unfinished on january 31 was job no. 151, for which total direct labor charges were $ 5 comma 200 (1 comma 300 direct labor hours) and total direct material charges were $ 14 comma 400. 5. cost of direct materials placed in production during january totaled $ 123 comma 700. there were no indirect material requisitions during january. 6. january 31 balance in raw materials inventory was $ 35 comma 300. 7. finished goods inventory balance on january 31 was $ 35 comma 400. what is the cost of goods manufactured for january?

Shawn received an e-mail offering a great deal on music, movie, and game downloads. he has never heard of the company, and the e-mail address and company name do not match. what should shawn do?