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3 years ago

Optimization Calculus:

Mathematics

1 answer:

Rashid [163]3 years ago

7 0

Answer:

170

Step-by-step explanation:

The bus company charges $120 for each passenger up to 100. They charge $0.50 less per person over 100. This means for 101 passengers they charge $119.50, for 102 passengers they charge $119 etc. The total revenue for the bus company will be the price of each ticket times the number of passengers. This is shown below in the table.

Passengers Revenue

100 100*120 = 12000

101 101*119.50 = 12069.5

102 102*119 = 12138

103 103*118.50 = 12205.5

104 104*118 = 12272

105 105*117.50 = 12337.5

....

150 150*95 = 14250

....

170 170*85 = 14450

....

175 175* 82.5= 14437.5

The max revenue the company receives is 170 passengers.

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3 years ago

Deion misses 4% of the free throws he attempts in a seaon. how many total free throws did he attempt if he missed 17

Burka [1]

He has thrown 425 free throws if he missed 17

<h3>How to determine the total number of free throws?</h3>

The given parameters are:

Proportion of free throw missed, p = 4%

Number of free throw missed, n = 17

Let the total number of throws be N.

So we have

n = p * N

Substitute the known values in the above equation

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Divide both sides by 4%

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2 years ago

The function y=−16x2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret th

Lapatulllka [165]

Answer:

A. x-intercept=x=1.5 , y-intercept=y=36

B.the apple will hit the ground after x=1.5 seconds.

Step-by-step explanation:

A. X-intercept and Y-intercept:

X-intercept:

the point where the line passes through X-axis i.e. point where y=0

Y-intercept:

the point where the line passes through Y-axis i.e. point where x=0

Given Equation:

$y=-16x^2+36$

Finding X-intercept:

to find x-intercept, put y=0 in the given equation as

$0=-16x^2+36\\$

adding $-16x^2$ to both sides of the equation, we get

$16x^2=36$

dividing both sides by 16, we get

$x^2=\frac{36}{16}\\x^2=2.25$

taking√ on both sides of the equation, we get

$x=\sqrt{2.25}\\ x=1.5$

Finding Y-intercept:

to find y-intercept, put x=0 in the given equation

$y=-16(0)^2+36\\y=36$

thus x-intercept $=x=1.5$

and y-intercept $=y=36$

B.when will the apple hit the ground after x seconds?

In the given equation if x represent the time in seconds then y represents the height of the tree from which the apple is fallen down

so if the apple hits the ground, at this stage the height is zero so y=0, thus we get x as

$0=-16x^2+36\\$

dividing both sides by 16, we get

$x^2=\frac{36}{16}\\x^2=2.25$

taking√ on both sides of the equation, we get

$x=\sqrt{2.25}\\ x=1.5$

the apple will hit the ground after x=1.5 seconds.

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3 years ago

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miskamm [114]

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3 years ago

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3 years ago