Consider a pure exchange economy with two consumers, ann (a) and bob (b), and two commodities, 1 and 2, denoted by (x a 1 , xa 2 ) and (x b 1 , xb 2 ). ann’s initial endowment consists of 5 units of good 1 and 10 units of good 2. bob’s initial endowment consists of 10 unit of good 1 and 5 units of good 2. the consumers’ preferences are represented by the following utility functions: u a(x a 1 , xa 2 ) = min{x a 1 , xa 2 } and u a(x b 1 , xb 2 ) = min{x b 1 , xb 2 }. denote by p1 and p2 the price of good 1 and good 2, respectively

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? define a variable for the situation. write an inequality that represents the situation. solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

Stefano accidentally dropped his sunglasses off the edge of a canyon as he was looking down. the height, h(t), in meters (as it relates to sea level), of the sunglasses after t seconds, is shown in the table. during its descent, the pair of sunglasses passed by a climber in the canyon 6 seconds after stefano dropped them. to the nearest meter, what is difference in elevation between stefano and the climber? 166 meters 176 meters 230 meters 240 meters its b.176 i took the test 166 is wrong and 176 is correct

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)