p = number of items sold (note: this is not the profit)
1 item sells for $855, so p items sell for 855p dollars
Subtract off the cost of 6780 and we have the expression 855p-6780 which is the profit for that given month.
Now plug in p = 250 because 250 items were sold in that given month
855*p - 6780 = 855*250 - 6780 = 206,970
The company earns $206,970 in profit for that month. Apply 15% to this value
15% of 206,970 = (15/100)*206,970 = 0.15*206,970 = 31,045.50
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Answer: $31,045.50 which is choice C
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
Answer:
You just plug it in.
Step-by-step explanation:
Ground: y = 0
- 16t² + 128t + 50 = 0
Apply quadratic equation.
t = 0, 8 (rounded to the nearest second)
8 seconds