The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
Learn more about Differentiation from:
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The correct statements are:
- the volume of the yellow candle is about 46.05 inches cubed.
- the radius of the yellow candle is 2 in
- he base area of the yellow candle is about 6.28 inches squared.
- the price of one yellow candle is about $16.12.
<h3>
What are the correct statements?</h3>
Volume of a cone = 1/3(πr²h)
- π = 3.14
- r = radius = diameter / 2 = 4/2 = 2 inches
- h = height
Volume of a cone = 1/3 x 2² x 11 x 3.14 = 46.05 inches cubed.
Base area = πr²
3.14 x 4 = 12.56 inches squared.
Price of one yellow candle = volume x price per cubic unit
46.05 x $0.35 = $16.12
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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Answer:
40 black ink cartridges and 19 colored ink cartridges
Step-by-step explanation:
Let 
represent the number of black printer ink cartridges sold. Let 
represent the number of color printer ink cartridges sold.
Set up a system of equations:
Substitute:
⇒ 40 black ink cartridges, 19 colored ink cartridges (ans)
Answer:
first find the surface area of one of the square and one of the triangle.
then multiple it by the number of square and triangle they have
finally add the total surface area of the triangle with the total surface area of the square.
Step-by-step explanation:
- for one square
area= base * width
= 10*10
=100
total area of square= number of square * area of one square
t=6*100
t=600
area = 1/2 base * height
= 1/2 *10*8.66
=43.3
total area of triangle=number of triangle* area of one triangle
t2=8*43.3
=346.4
total surface area= total surface area of the square+ total surface area of the triangle
=600+346.4
=946.4 in^2
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