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2 years ago

Two years of local Internet service cost $685, including the installation fee of $85. What is the monthly fee?

Mathematics

2 answers:

AnnZ [28]2 years ago

8 0

685-85=600
1 year =12 months
12 multiply by 2 =24
600 divided by 24=25
answer=25

guapka [62]2 years ago

7 0

The answer is 770 dollars!
Hope this helped!!
-EmmyLou2020

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Answer:

The ticket price that maximizes revenue is $50.

The maximum monthly revenue is $250,000.

Step-by-step explanation:

We have to write a function that describes the revenue of the airline.

We know one point of this function: when the price is $30, the amount of passengers is 7000.

We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.

Then, we can write the revenue as the multiplication of price and passengers:

$R=p\cdot N=(30+x)(7000-x)$

where x is the variation in the price of the ticket.

Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.

$R(x)=(30+x)(7000-100x)=30\cdot7000-30\cdot100x+7000x-100x^2\\\\R(x)=-100x^2+(7000-3000)x+210000\\\\R(x)=-100x^2+4000x+210000\\\\\\\dfrac{dR}{dx}=100(-2x)+4000=0\\\\\\200x=4000\\\\x=4000/200=20$

We know that the increment in price (from the $30 level) that maximizes the revenue is $20, so the price should be:

$p=30+x=30+20=50$

The maximum monthly revenue is:

$R(x)=(30+x)(7000-100x)\\\\R(20)=(30+20)(7000-100\cdot20)\\\\R(20)=50\cdot5000\\\\R(20)=250000$

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Based on the graph, which equation represents the relationship between the height of trees (y) and the amount of rainfall (x)?

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The slope can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

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y - intercept:

The y - intercept of the equation is the value of y when x = 0.

Thus, from the graph, when x = 0, the value of y is 0.

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The equation of the given graph can be determined using the formula,

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