A cell phone company charges an initial price of $500 for a new phone and then $60 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? (2 points) r: (0, 500) r: (60, 560) r: ℠r: (−[infinity], [infinity])

Answers

Answer 1

The range of the given function is: (500, ∞).

What is the range of a function?

The collection of potential output values for a function is known as its range.

Now,

Given:

Initial price of the cell phone = $500Monthly charge = $60

Let 't' be the number of months. Then, the function C(t) can be calculated as:

C(t) = 500 + 60t

For range:

The minimum value will be when t = 0, i.e., when no charge has been charged by for each month.

Thus, C(0) = 500 + 60(0)

=> C(0) = 500

The maximum value will be when t = ∞, i.e., for infinite number of months.

=> C(∞) = 500 + 60(∞)

=> C(∞) = 500 + ∞

=> C(∞) = ∞

Thus, the range of the function will be: (500, ∞).

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Related Questions

Which region represents the solution to the given system of inequalities?
[x < -1/2 x
v≥ 2x+3
B
-5-4-3
C
5
4
3
-
-1₁
L2
-3-
4
-5
D
A
-2 3
4
5 X

Answers

Answer:

أنا بصراحة لا أعرف

Step-by-step explanation:

[x < -1/2 x

v≥ 2x+3

B

-5-4-3

C

5

4

3

-

-1₁

L2

-3-

4

-5

D

A

-2 3

4

Heidi and Dan signed up for a cell phone plan with a brand new company called Bolt.

The price for 30 gigabytes of data and unlimited talk and text is $55.

Each phone costs $19 per month.

Taxes are $9.50 per month.

What is the cost for their current plan?

Answers

The cost for their current plan is $83.5

How to write and solve the cost for their current plan?

The given parameters are

Price for 30 gigabytes of data and unlimited talk and text = $55.

Phone costs = $19 per month.

Taxes =  $9.50 per month.

The equation of the cost for their current plan is represented as:

Total cost = Price for 30 gigabytes of data and unlimited talk and text + Phone costs + Taxes

So, we have

Total cost = 55 + 19 + 9.50

Evaluate the sum

Total cost = 83.5

Hence, the cost for their current plan is $83.5

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I need help and its due Friday! If somone help me if will help so much and ty!!!

Answers

Down 3 on the x axis

Can someone help me with this question? Thanks.

Answers

Answer:

5 pounds I think hope this helped :)

How many sisters does Carly have

Answers

Answer:

she has 2 sisters; lucy simon and joanna simon

Step-by-step explanation:

hi pls help i do not understand

Answers

Answer: A & D

Step-by-step explanation:

A & D both are correct

Only option D is correct. Because all other option have their negative signs incorrectly placed.Only d amounts to 4/5

Help ASAP! PLEASE!
The data set shows the numbers of hours that college students studied in one month.
What is the mean number of hours they studied in one month? Round answer to the tenths place. If answer is
a whole number then include a zero in the tenths place to have answer counted correct.
50, 68, 67, 97, 22, 19

Answers

Answer:

53.8

Step-by-step explanation:

Question is asking for the mean, mean is basically the average of all the values. To calculate the mean you add all the values together and divide by how many values there are.

Add all values together you get 323

Since you have 6 values we do 323÷6

Which will give us 53.83

Rounded would be 53.8

h(x)= 3x+2

find h(x+1)​

Answers

Answer- 3x+5

Step-by-step explanation:

Greetings !

Given expression :-

[tex]h(x) =3 x + 2[/tex]

Goal:-

Find

[tex]h(x + 1)[/tex]

Thus,

plug in x+1 in the first expression as follows;

[tex]h(x + 1) = 3(x + 1) + 2[/tex]

Expand:-

apply distributive law:-

[tex]a(b + c) = ab + ac[/tex]

solve

[tex]3(x + 1) = 3x + 3.1 \\ = 3x + 3 + 2[/tex]

add the numbers:- 3+2 = 5

Finally we get

[tex]h(x + 1) = 3x + 5[/tex]

Hope it helps !!!

A parallelogram has a base of 3 inches and a height of 7 inches. What is its area?

Answers

Answer:

21 cm square

Step-by-step explanation:

Base x Height = Area

Area = 3 x 7 = 21 cm square.

A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Answers

we need to mulitply because for every inch there are 25.4 mm.


26.0 *25.4

660.4 mm.

so we know that the bikes wheels diameter is 660.4 millimeters

The diameter of a circle is 30 ft. Find its area to the nearest whole number

Answers

Answer:

use air math it helps alot!

Step-by-step explanation:

find the domain rang and function

Answers

Answer:1,1 0

Step-by-step explanation:

Solve the equation
-2 = 2 + v/4

Answers

The simplification of the equation - 2 = 2 + v/4 is v = - 16.

Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.

Consider the equation,

-2 = 2 + v/4

The equation can be rewritten as:

-2 = 2/1 + v/4

The least common multiple or LCM of 1 and 4 is 4.

-2 = ( 2 × 4) / (1 × 4) + v /4

-2 = 8/4 + v/4

-2 = ( 8 + v) /4

Multiplying each side of the equation by 4

- 2 × 4 = [ ( 8 + v ) / 4 ] × 4

- 8 = 8 + v

Subtracting each side of the equation by 8.

- 8 - 8 = 8 + v - 8

v = - 16

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Awnser oooooopppndhdhdh

Answers

Answer:

x<212

Step-by-step explanation:

Because < means that x is less than 212


Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.
Conclusion: Dante obtained a part-time job.

Answers

The given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

What are statements and conclusions?

Logical reasoning essentially consists of a statement and a conclusion. In this part, a claim and several inferences will be made. It is necessary to select the statement's logically following conclusion.

Given that If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.

Conclusion: Dante obtained a part-time job.

From the given statement it is concluded that Dante obtained a part-time job which means that he is financially stable now to pay for the car.

Therefore, the given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

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-4/-9, 11/12, -21/-18, 1/6 in ascending order. i really need this answerr please

Answers

Ascending order is 1/6< -4/-9< 11/12 < -21/ -18.

Here the fraction is -4/-9, 11/12, -21/-18, 1/6.

To know write the fraction in its ascending form, and convert the fraction into it's decimal form.

Therefore we have,

-4/-9 = 4/9 = 0.44

11/12 = 0.916

-21/-18 = 21/18 = 7/ 6 = 1.16

1/6 = 0.16

Therefore ascending order is 0.16< 0.44< 0.916 < 1.16. That is 1/6< -4/-9<11/12 < -21/-18.

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the normal model n(58,21) describes the distribution of weights of chicken eggs in grams. suppose that the weight of a randomly selected chicken egg has a z-score of -2.01. what is the weight of this egg in grams? round to the nearest hundredth of a gram.

Answers

The weight of the egg is 15.79 grams.

Normal Distribution:

Normal distribution, refers the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given,

The normal model n(58,21) describes the distribution of weights of chicken eggs in grams.

suppose that the weight of a randomly selected chicken egg has a z-score of -2.01.

Here we need to find the weight of the egg and we have to round off it to the nearest hundredth of gram.

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

So,

X ~ n(58, 21)

Where this means the value of

σ =  21

[tex]\mu[/tex] = 58

Apply the values on the formula,

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

=> -2.01 = (x - 58) / 21

=> -2.01 x 21 = x - 58

=> -42.21 + 58 = x

=> x = 15.79

So, the weight of the egg is 15.79 grams.

When we round off it to the nearest hundredth then we get,

=> 15.79

Because there is no hundredth term in this one.

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I need help badly please help

Answers

Step-by-step explanation:

these are the answers. ignore the scribbles :)

what is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2.

Answers

The area of a triangle with the given set of vertices is 12 square units, which is obtained using the concepts of coordinate geometry and the area of triangles.

What is the area of a triangle?

The area of a triangle is defined as the total region bounded by the three sides of a triangle. For a right-angled triangle, the area is given by ½ * (base * height).

Calculation of the area of the given triangle

Given:

P(7,6), Q(1,6), R(4,2) be the three vertices of a triangle PQR

Let PQ be the base parallel to the x-axis

b = 7 - 1 = 6

And altitude is the difference of y coordinates of the point Q and R, h = 6 - 2 = 4

The area of triangle PQR is equal to half the product of base and height

Area = (6 × 4) / 2

        = 24 / 2

        = 12 square units

Hence, the area of the triangle with given vertices is 12 square units.

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write an equation of the line containing the given point and parallel to the given line. express your answer in the form ymxb. ​(​,​); xy

Answers

Answer:

cool cool

Step-by-step explanation:

cool

Pleeeeeease this is my second time asking, I need help.

Answers

The value of x in the figure is 4

How to determine the value of x in the figure?

From the attached figure, we have the following parameters:

DE = x + 1

BC = 4x - 6

The triangles ADX and ABC are similar triangles

Based on the representation of the sides, we have:

BC = 2 * DE

So, we have

2 * (x + 1) = 4x - 6

Expand

2x + 2 = 4x - 6

Evaluate the like terms

2x = 8

Divide by 2

x = 4

Hence, the value of x in the figure is 4

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A town has accumulated 4 inches of snow and the snow depth is increasing by 3 inches every hour . a nearby town has accumulated 1 inch and the depth is increasing by 5 inches every hour. how many hours will the snowfall of the towns be equal if the snow continues at the given rates?

Answers

The time in which the snowfall will be equal in both towns is 1.5 hours.

Time in which the snowfall will be equal in both town

The time in which the snowfall will be equal in both towns is calculated as follows;

let the time in which the snowfall will be equal in both towns = x

The equation becomes;

4 + 3x = 1 + 5x

collect similar terms together

4 - 1 = 5x - 3x

3 = 2x

divide both sides by 2

3/2 = 2x/2

3/2 = x

1.5 hours = x

Thus, the time in which the snowfall will be equal in both towns is 1.5 hours.

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Convert 30 kilograms into gram

Answers

multiply the mass value by 1000. the answer is 30000

Solve for X I need help please

Answers

Answer:

15

Step-by-step explanation:

The plane is 180 degrees, all you need to do is subtract 60 then divide the answer by 8.

(180-60)/8=15

This is 7th grade math bro

3÷4 1/2




I'm trying to learn math easyer then how they teach in class_school

Answers

Answer:

3÷4= 0.75 then,

1/2=0.5

Step-by-step explanation:

Hope it was helpful.

since there is an infinity of possible vulnerabilities, but a finite number of threat types, the following can be stated

Answers

Threat-asset matrices can be constructed, but not vulnerability-asset matrices.

What is vulnerability information security?

A security system weakness, fault, or error that could be used by a threat agent to compromise a secure network is known as a security vulnerability.

What do you think is the primary threat for service providers?

Inadvertent acts, potential human mistake or failure, potential variations in service quality by service providers, and power anomalies are among the main dangers to physical security.

The different types of vulnerability

In the table below four different types of vulnerability have been identified, Human-social, Physical, Economic and Environmental and their associated direct and indirect losses.

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What is the midpoint of the segment shown below?

Answers

Answer:

A. 5, 1/2

Midpoint formula: (x1+x2)/2, (y1+y2)/2

5 + 5 / 2 = 5

4 + -3 / 2 = 0.5

therefore it is

(5, 1/2)

Solve the math problem

Answers

Answer:

there................

Given y = 6x + 7, what is the value of y when x = -3?

Answers

Answer:

y=-11

Step-by-step explanation:

Answer:

y = - 11

Step-by-step explanation:

y=6x+7
y=6*(-3)+7
y=-18+7
y=-11

Is the question ''how many cars were sold each day this month'' statistical or not?

Answers

Yes it is because you would need to get data in order to find out how many cars were sold
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