F(5) = -2 * 5 + 1 = -9
the pair is (5, -9)
Let's put it this way: If you plot a few non-x-intercept points and then draw a curvy line through them,you will not know if you got the x-intercepts even close to being correct. <span>The only way you can be sure of your x-intercepts is to set the quadratic equal to zero and solve. So its a matter of guessing from the pictures. Basicaly said, the calculator won't give you the exact result.</span>
Answer:
V = a (x + 4)*5 but see below.
Step-by-step explanation:
You're not going to get any kind of answer that gives V = 122 or some other pure number.
Formula
V = arh
Givens
a = pi * r
r = (x + 4)
h = 5cm
Solution
V = a * (x + 4)*5
or
V = pi * (x + 4)^2 * 5
There is no indication of which one to choose.
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:-
![E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75](https://tex.z-dn.net/?f=E_u%20%3D%20%5B0.5%20%2A%20U%28115%29%5D%20%2B%20%5B0.5%20%2A%20U%2877%29%5D%5C%5CE_u%20%3D%20%5B0.5%20%2A%20115%5E%7B0.5%7D%5D%20%2B%20%5B0.5%20%2A%2077%5E%7B0.5%7D%5D%5C%5CE_u%20%3D%205.36%20%2B%204.39%5C%5CE_u%20%3D%20%5C%24%209.75)
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