An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.
The current rate is simply equal to $175 per month, let us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.
The number of devices connected should be less than 18 (1 to 17 devices) so that the new charges will be less than the old charge.
Given:
The old monthly charge for internet service per household is $175.
The new charges include a fixed pay of $94 plus $4.50 per connected device.
Let x be the number of connected devices.
So, the new charges can be written mathematically as,
[tex]C=94+4.5x[/tex]
Now, the new charge should be less than the old charge. This condition can be written as,
[tex]C=94+4.5x<175\\4.5x<81\\x<18[/tex]
So, the number of devices connected should be less than 18 (1 to 17 devices) so that the new charges will be less than the old charge.
See the attached graph.
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The sum of three numbers is 45 one number is 10 more than the second number it is also twice the third number find the numbers
The numbers cannot be uniquely determined with the given information.
Explanation:Let's solve this problem step by step.
Let's assume the second number is 'x'. Since the first number is 10 more than the second number, then the first number can be represented as 'x + 10'.
Since the first number is also twice the third number, the first number can be represented as '2y', where 'y' is the third number.
Now, we can form an equation using the given information: x + (x + 10) + 2y = 45
Simplifying the equation, we get: 2x + 2y + 10 = 45
Further simplifying, we get: 2x + 2y = 35
Dividing both sides of the equation by 2, we get: x + y = 17.5
Now, we have two variables and one equation, which means we have an infinite number of possible solutions. We need more information to determine the actual values of x and y.
Therefore, the numbers cannot be uniquely determined with the given information.
Amanda was 48 inches She grew n inches last year and is now 56.5 inches write an expression that represents the number of inches Amanda grew
What is the measure of angle C? 25° 30° 60° 75°
Answer:
75°
Step-by-step explanation:
Jimmy had $4.52 to spend. He found something he wanted to buy for $6.21. How much would he need to borrow from his friend to make his purchase?
Answer:
$1.69
Step-by-step explanation:
If he wants to buy something for $6.21 but he only has $4.52, we need to find out the difference between $6.21 and $4.52.
For that, we have to subtract the smallest number from the biggest, that is
$6.21 - $4.52 = $1.69
Therefore, he would need to borrow $1.69 from his friend.
A town's population has been growing linearly. In 2003, the population was 25000, and the population has been growing by 1200 people each year.Write an equation for the population
x
years after 2003.
A cylindrical can is to have volume 1500 cubic centimeters. determine the radius and the height which will minimize the amount of material to be used. note that the surface area of a closed cylinder is s=2rh+2r2 and the volume of a cylindrical can is v=r2h.
1/4x+5/3x-4=2-1/12x what is the answer ??????
There are 6 quarters in a jar .jill adds 2 quarters everyday which linear equation represents the total amount of quarters in the jar after x days
If you were a lender, why would employment history or credit reports be important to you?
If I were a lender, the borrower's credit report will be important for me. The credit report should be positive and accurate if a person wants to borrow money from me. Good credit reports generate good credit scores and the higher the credit score, the lower the risk to me or the lender.
Similarly, employment history is a measure to check before lending money. This is because if a person has a good history and is working with good firms and on a regular basis, this develops trust that he will work properly pay off the debt. If a person is not responsible at work place and changes his jobs and cities frequently, then it is not sure if he can pay off the debt.
Banks also check these two things before lending any money. These information about a borrower develops trust among the lenders.
Employment history and credit reports gives an insight of an individual's past financial credibility, hence, they are useful in making a decision on whether to lend such individual and the amount that should be lent.
Employment history gives an account about whether a person is presently employed or not, and it also gives an insight about duration of stay with previous employers. Credit history gives an account into past financial details, the promptness exercised in repayment and if there are any pending debts.Therefore, these information are necessary for adequate decision making about the financial capability and integrity of the borrower.
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The vertex of this parabola is at (-4, -1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation?
A. -3
B. 3
C. -6
D. 6
Answer:
the coefficient of the squared term for this parabola is 6
Step-by-step explanation:
What’s angle CR PQ and CQ?
CR = CP = 17
PQ = QR = 15
CQ = x^2 +15^2 = 17^2 = x^2 + 225 = 289
x^2 = 289-225 = 64, sqrt(64) = 8, CQ = 8
The first side of a triangle is 2 cm longer than the second side. the third side is 5 cm shorter than twice the second side. the perimeter is 49 cm. find the length of each side.
The sides of the triangles will be 15 cm, 13 cm and 21 cm.
What is a triangle?A closed polygon with three sides, angles and vertex is called triangle.
Given that, the first side of a triangle is 2 cm longer than the second side. the third side is 5 cm shorter than twice the second side and the perimeter is 49 cm.
Let the second side be x, then the sides will be,
x+2, x and 2x-5
∵ Perimeter = 49 cm
∴ x + 2 + x + 2x - 5 = 49
4x-3 = 49
4x = 52
x = 13
Therefore, side will be =
Side 1 = 15 cm
Side 2 = 13 cm
Side 3 = 21 cm
Hence, the sides of the triangles will be 15 cm, 13 cm and 21 cm.
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2. Your Turn: How many elements are in the sample space for spinning a spinner labeled A, B, C, D? *
1 point
1
4
8
16
When a population grows according to the logistic model, what is the value of the instantaneous population growth rate (dn/dt) when the population is stable?
a. dn/dt = 0
b. dn/dt = n
c. dn/dt = r
d. dn/dt = k?
Answer:
d
Step-by-step explanation:
Monica has saved $735 for a new guitar and lessons. her guitar costs $475, and guitar lessons are $25 per hour. determine how many hours of lessons she can afford.
WILL GIVE A BRAINLIEST SHOW ALL WORK PLEASE!!
A function is graphed on the coordinate plane.
What is the value of the function when x = -4?
look to see where the line is in the y direction at x=-4
it crosses at y=-3
so the value would be -3
Which rectangle is an enlargement of a 5 by 6 rectangle
Which rectangle is an enlargement of a 5 by 6 rectangle? B. 15 by 18
What is the vertex of the absolute value function below?
(4, –1)
(1, –4)
(1, 4)
(4, 1)
Answer:
(4,1) D
Step-by-step explanation:
i got it right on edge
PLEASE HELP FAST!!!
Step 3: Solving real-world problems that involve markups
a) A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)
This is the table
Quantity 0-20 pairs 21-40 pairs 41-60 pairs 61-80 pairs 81 or more pairs
Wholesale Price (per pair) $25.00 each $23.00 each $21.00 each $19.00 each $17.00 each
Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range? (2 points)
since all the shoes get marked up by 80%
the equation for all of them would be :
y = new price
x = wholesale price
y = 1.8x
Factor the expression completely over the complex numbers.
y^4+12y^2+36
Answer:
the answer given is not in complex form using i variable
Step-by-step explanation:
1)
The distance traveled in a car varies directly as the amount of gasoline used. If a car travels 520 miles and uses 26 gallons of gas, find the constant of variation or miles per gallon.
A)
18 mpg
B)
20 mpg
C)
22 mpg
D)
24 mpg
..........
the x value??
Find the length of the hypotenuse:
to find the hypotenuse on the given triangle
divide the given height ( 3sqrt(2) ) by the sin of the given angle (45)
3sqrt(2) / sin 45 = 6
answer is B. 6
How to find the number of sublevels in a principal energy level?
Plz help fast will mark brainiest
Determine whether each ordered pair is a solution of y= 2x-4
(3,2)
Yes or No?
Multiply. (−23)⋅(−4) A. −92 B.−27 C.27 D.92
What evidence does the narrator offer for believing in a past life as a bat?
The narrator's evidence of a past life as a bat can be derived from their understanding of the bat's way of navigating through darkness similar to their pre-literate life, mirroring a bat's perception of the world through sound reflections, and also a subtle hint on a shared evolutionary past with bats.
Explanation:The narrator of the story hints at the possibility of having a past life as a bat based on their keen sense of understanding and relating to the fundamental traits of a bat. First, the narrator draws parallels between their pre-literate life and a ship lost in the fog, similar to how bats navigate their way in the dark through echolocation, as the figures 17.6 and 14.8 depict. The echoes, in this context, could symbolize the intangible voices of the past, reiterating their bat-like existence.
Secondly, the narrator's reflections on shadows as distorted versions of reality, as narrated in the allegory of the cave, mirrors the bat's perception of the world through sound, making physical visibility a misleading representation. This is also closely connected to the narrator referring to a transcendence that momentarily allows them to live outside social norms, just like bats that occupy the night skies primarily, a time generally regarded as quiet and uninhabited by humans.
Lastly, the narrator’s mention of homologous bat and bird wings as an evidence of common evolutionary past (Figure 20.7) might indicate the belief in being part of the same evolutionary lineage. These instances collectively form the narrator's evidence for the belief in a past life as a bat.
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a contractor finds that 6 gallons of paint will cover 750sq ft of wall area.how much wall area could be covered with 18 gallons of paint
2(x + 7) + 3x = 12
What is the first step in solving this equation for x?