The ticket price which will maximize the student's council is: C. $3.10.
<h3>What is price?</h3>
Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about Valley High School student council, we can logically deduce the following data:
- Total number of students = 420 students.
- Lowest ticket price = $2.00.
- Increase in ticket price = $0.20.
- Attendance = 20 fewer students
<h3>How to determine the ticket price?</h3>
Mathematically, the equation which model the profit is given by:
Profit = price × number of tickets sold
P(x) = (2 + 0.2x)(420 - 20x)
P(x) = 840 + 84x - 40x - 4x²
P(x) = -4x² + 44x + 840.
For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -44/2(-4)
Xmax = -44/-8.
Xmax = 5.5
Ticket price for maximum profit is given by:
Ticket price = 2 + 0.2x
Ticket price = 2 + 0.2(5.5)
Ticket price = $3.10.
Read more on maximized profit here: brainly.com/question/13800671
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Answer:
(Assuming you want your answer in radians)
If you want the answer in degrees just multiply your answer in radians by 
giving you:
.
We can do this since 
(half the circumference of the unit circle is equivalent to 180 degree rotation).
Step-by-step explanation:
is going to output an angle measurement in ![[0,\pi]](https://tex.z-dn.net/?f=%5B0%2C%5Cpi%5D)
.
So we are looking to solve the following equation in that interval:
.
This happens in the second quadrant on the given interval.
The solution to the equation is .
So we are saying that 
implies 
since ![\frac{3\pi}{4} \in [0,\pi]](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Cpi%7D%7B4%7D%20%5Cin%20%5B0%2C%5Cpi%5D)
.
Answer is .
Answer:
2.016
Step-by-step explanation:
In your equasion, I couldn't tell if you need to multipy 0.8^2 by 3.15 or are you asking something else? If you want to multiply, the answer is 2.016.
