Paul has an opportunity for a job that increases his income $20,000 a year for the rest of his career. however, the firm might be moving. the uncertainty about moving (σt ) increases with how far in the future it is considered, and is represented by σt = exp(t) . let his ability to handle uncertainty be described by h = 100. this means if the uncertainty at t years is less than h, he does not discount the future. however, he can reduce the uncertainty he has to handle by discounting future years by exp(-pt), where p is the discount rate, using the formula for discounted uncertainty:

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Ofof is a ? a. (1, 2), (1,-2), (3, 2), (3, 4) b. (1,6), (2, ,9), (0,5) c. (0, 2), (2,3), (0, -2), (4,1) d. (2, 4), (0, 2), (2, - 4), (5,3)

Upstream: 1.04 = x – y downstream: 2.08 = x + y aro can paddle at a speed of miles per hour. the river’s speed is miles per hour.