Consider a lottery LL = [0.2 , A; 0.3, B; 0.4, C; 0.1, D][0.2,A;0.3,B;0.4,C;0.1,D], where the utility values of each of the outcomes are U(A) = 1U(A)=1, U(B) = 3U(B)=3, U(C) = 5U(C)=5, U(D) = 2U(D)=2. What is the utility of this lottery, U(L)U(L)?

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

10 - 75

step-by-step explanation:

there's nothing attached so it's most likely anything in that range.