Answer: tan 1 radians = 1.557, tan 1 degrees = 0.017
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:
It is the graph of g(x) shifted 5 units right and 2 units down.
Step-by-step explanation:
Given : f(x)=log_2(x−5)−2
the parent function g(x)=log_2(x)
To get f(x) , 5 is subtracted from x
If we add any number with x then we shift left
If we subtract any number from x then we shift right
Here 5 is subtracted from x , so we shift 5 units right
Also -2 at the end
If we add any number at the end , then we shift up
if we subtract any number at the end , then we shift down
Here 2 is subtracted at the end , so we shift 2 units down
It is the graph of g(x) shifted 5 units right and 2 units down.
Answer:
Step-by-step explanation:
Given:
Length of a rectangle solid = 3 m
Width of a rectangle solid = 0.6 m
Height of a rectangle solid = 0.4 m
To find: Volume of the solid
Solution:
Volume of the solid = length × breadth × height
So, the number of cubic meters in the volume of the solid is
