To solve this problem, you must follow the proccedure that is shown below:
1. You need to apply the formula for calculate the perimeter of a circle, which is:
P=2πr
P is the perimeter of the circle (P=9.42 feet).
r is the radius of the circle.
2. Now, you must clear the radius "r" from P=2πr, as below:
P=2πr
r=P/2π
3. When you substitute the values, you obtain:
r=P/2π
r=9.42 feet/2π
r=1.49 feet
4. Now, you can calculate the diameter (D):
D=2r
D=2(1.49 feet)
D=2.98 feet
<span>
What's the diameter of the wheel?
The answer is: </span><span>2.98 feet</span>
Given a table, with an input (x) and output (y) , you could actually use the slope formula to get the rate of change because slope is the same thing as rate of change. If you recall, the slope formula is (y2-y1)÷(x2-x1)
Just pick two points from the chart and plug them in and that is your rate of change
Answer:its incorrect... 18 does not equal 8
Step-by-step explanation:

The last choice is appropriate.
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