Mark has the following utility function: where denotes the wealth. Mark has the chance to play in the following lottery: with probability 0.13 the lottery gives $113,819 and with the complement probability (1-0.13), the lottery gives $9,733. Assume that Mark starts with 0 wealth. What is the expected value of the lottery

Suppose a pendulum is l meters long. the time,t,in seconds that it tales to swing back and forth once is given by t=2.01

Solve the triangle. a = 21°, c = 105°, c = 5

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry.how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.