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:
=900000
Step-by-step explanation:
the current ppl=225000
after 64 years=225000×2=450000
in the next 64 yrs(128 yrs later)=450000×2=900000
Answer:
The cost of 5 bags of popcorn and 2 sodas is 14.25 units.
Step-by-step explanation:
We are given the following in the question:
Let x units be the cost of a popcorn bag and y units be cost of soda.
The cost of 4 bags of popcorn and 3 sodas is 13.50.
Thus, we can write the equation:
The cost of 2 bags of popcorn and 5 sodas is 12.00
Thus, we can write the equation:
Solving the two equations, we get,
Thus, the cost of popcorn bag is 2.25 units and the cost of a soda is 1.5 units.
Cost of 5 bags and 2 sodas
=
Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.
Answer:
choice G. (-5, 2)
Step-by-step explanation:
(x + 5)^2 + (y - 2)^2 = 9
(x + 5)^2 + (y - 2)^2 = 3^2
center( -5, 2)
Answer:
S
Step-by-step explanation:
