Answer:
Step-by-step explanation:
Comment
The formula that relates edges faces and vertices is F + V = E + 2
Givens
Edges (E): 37
Faces (F) = 25
Vertices: x
Solution
25 + x = 37 + 2 Subtract 25 from both sides.
25-25 +x= 37 - 25 + 2 Combine
x = 12 + 2
x = 14
Answer: The vertices =<u> 14</u>
There is 5 times the amount of cookie dough to peanut butter
x:5x
Note that
Answer:
Mary's risk premium is $0.9375
Step-by-step explanation:
Mary's utility function,
Mary's initial wealth = $100
The gamble has a 50% probability of raising her wealth to $115 and a 50% probability of lowering it to $77
Expected wealth of Mary,
= (0.5 * $115) + (0.5 * $77)
= 57.5 + 38.5
= $96
The expected value of Mary's wealth is $96
Calculate the expected utility (EU) of Mary:-
The expected utility of Mary is $9.75
Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where
U(EW - P) is equal to Mary's expected utility from the risky gamble.
U(EW - P) = EU
U(94 - P) = 9.63
Square root (94 - P) = 9.63
If Mary's risk premium is P, the expected utility will be given by the formula:
Mary's risk premium is $0.9375
Four million, three hundred, fifty thousand, seven hundred, sixty-two