Answer:
x=124.75
Step-by-step explanation:
Sum of angles of a triangle=180°
(x-40)+(x-20)+(1/2- 10)=180°
(x-40)+(x-20)+(−9.5)=180°
x-40+x-20−9.5=180°
x+x-40-20-9.5=180°
2x−69.5=180°
2x=180°+69.5
2x=249.5
2x/2=249.5/2
x=124.75
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
Answer:
12.5 inches
Step-by-step explanation:
2 / 4 = 0.5
0.5 in = 10ft
0.5 x 25 = 12.5
$19.00/ 8.5 pounds= $2.24/pound.
The unit price is $2.24/pound~
Answer:
1/3
Step-by-step explanation:
3/9 divided by 3 is 1/3 and 1+2 =3