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:

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.

Suppose i flip two identical coins. what is the probability that i get one head and one tail?

Consider the graph of the exponential function y=3(2)×