If u(y) denotes an individual’s utility of having income (or consumption) y, then r = − yu00(y) u 0(y) is called the coefficient of relative risk aversion. (r/y is called the degree of absolute risk aversion.) compute r for the following utility functions (where a1, a2, and rho are positive constants with rho 6= 1, and we assume that y > 0): (a) u(y) = a1 − a2y −2 (b) u(y) = a1 + a2y 1−rho 1 − rho .

This is about circle theorems. someone asap : (

Determine the common ratio and find the next three terms of the geometric sequence. 10, 2, 0.4, a. 0.2; -0.4, -2, -10 c. 0.02; 0.08, 0.016, 0.0032 b. 0.02; -0.4, -2, -10 d. 0.2; 0.08, 0.016, 0.0032 select the best answer from the choices provided a b c d

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.