Internet rates for two companies are shown in the table. After how many months of
service is the total cost the same no matter which company is used? What is this total
cost?
Intemet Service Provide
Charges
Tyson's Ethernet $100 activation fee plus $20 per month
Darriana's DSL
$30 per month
A 10 months, $300
B 20 months, $600
C 30 months, $700
D 2 months, $60
Answers
100+(20×10)=300
30×10 =300
months = 10
The total cost becomes the same after 20 months of service, and the total cost is $600.
To find out when the total cost becomes the same for both companies, we need to compare their cumulative costs over time.
Tyson's Ethernet has an activation fee of $100 plus $20 per month, while Darriana's DSL costs $30 per month.
Let's set up equations for both companies:
For Tyson's Ethernet:
Total cost = Activation fee + Monthly charges
Total cost = $100 + ($20/month) * months
For Darriana's DSL:
Total cost = Monthly charges
Total cost = ($30/month) * months
We want to find when these two total costs are equal:
$100 + ($20/month) * months = ($30/month) * months
Now we can solve for the number of months:
$100 + ($20/month) * months = ($30/month) * months
$100 = ($30/month - $20/month) * months
$100 = $10/month * months
months = $100 / $10
months = 10
So, it takes 10 months for the costs to be equal. Now let's find the total cost at that point:
Total cost = ($30/month) * months
Total cost = ($30/month) * 20 months
Total cost = $600
Therefore, after 20 months of service, the total cost is the same for both companies, and the total cost is $600.
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Related Questions
PLEASE HELP ITS MATH THANK YOUUUU
Answers
can you solve five ninths plus four sixths =
Answers
Answer:
five ninths plus four sixths is sixty six fifty four
Marcia needs to wrap a gift box that's 16 in x 18 in x 44 in.
How much wrapping paper will she need to cover the surface area of the box?
A) 1,784 in^2
B) 12,672 in^2
C) 6,336 in^2
D) 3,568 in^2
Answers
Answer:
B. 12,672 in^2
16 x 18 x 44 = 12672
Answer:
D.
Step-by-step explanation:
Every day Ahmet buys a scratch-off lottery ticket with a 40%, percent chance of winning some prize. He noticed that whenever he wears his red shirt he usually wins. He decided to keep track of his winnings while wearing the shirt and found that he won 3 out of 3 times. Let's test the hypothesis that Ahmet's chance of winning while wearing the shirt is 40%, percent as always versus the alternative that the chance is somehow greater.
Answers
Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
At the null hypothesis, we test if the proportion is of 40%, that is:
[tex]H_0: p = 0.4[/tex]
At the alternative hypothesis, we test if the proportion is greater than 40%, that is:
[tex]H_1: p > 0.4[/tex]
The test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
In which:
X is the sample proportion.p is the value tested at the null hypothesis.s is the standard error, given by:[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]
With n as the sample size.
In this problem:
0.4 is tested at the null hypothesis, thus [tex]p = 0.4[/tex].Won 3 out of 3, thus [tex]n = 3, X = \frac{3}{3} = 1[/tex].The standard error is:[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]
The value of the test statistic is:
[tex]Z = \frac{X - p}{s}[/tex]
[tex]Z = \frac{1 - 0.4}{0.283}[/tex]
[tex]Z = 2.12[/tex]
The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.
Looking at the z-table, Z = 2.12 has a p-value of 0.983.1 - 0.983 = 0.017.The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
A similar problem is given at https://brainly.com/question/24166849
Find the measure of the third angle in each of the following triangles. The triangles are not drawn to scale.
a.
A triangle has two of its angles labeled 60 degrees and 60 degrees.
b.
A right triangle has the angle between the hypotenuse and one of the legs labeled 30 degrees.
a. The measure of the missing angle is
nothing. (Simplify your answer.)
b. The measure of the missing angle is
nothing. (Simplify your answer.)
Answers
Answer:
A. 60 degrees
B. 60 degrees
Step-by-step explanation:
(a)
60 degrees +60 degrees + missing angle = 180 degrees
(angle sum property of triangle)
missing angle = 180 - 120 = 60 degrees
(b)
90 degrees + 30 degrees =120 degrees +missing angle = 180 degrees
missing angle = 60 degrees
Answer true or false
Answers
Answer:
true
Step-by-step explanation:
please mark brainiest
Factorise 3a2 (squared) - 7a
What’s the answer?
Don’t use the calculator.
Answers
Step-by-step explanation:
[tex] {3a}^{2} - 7a \\ a(3a - 7) \\ \\ \\ \\ \\ \\ hope \: it \: helps \\ stay \: safe \: healthy \: and \: happy[/tex]
Your boss sends you to the hardware store to buy tie down rope. He tells you to buy the best deal. What is the savings per unit between the best deal and worst deal?
Answers
Answer:
Explain more
Step-by-step explanation:
You need to explain more like add an image or tell us how much much money is a rope.
help Perform the indicated operation.
(-7) · (-5)
-12
-35
12
35
Answers
35
Step-by-step explanation:(-7) • (-5)
= 7 • 5
= 7 + 7 + 7 + 7 + 7
= 14 + 7 + 7 + 7
= 21 + 7 + 7
= 28 + 7
= 35
[tex] [/tex]
Need help fast thank you it would really help
Answers
Answer:
See belowStep-by-step explanation:
Line Ay - y₁ = m(x - x₁)y + 3 = -3/4(x + 4)The slope is m = -3/4Line BUse the points (0, 5) and (6, 0).
The slope is:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - 5)/(6 - 0) = - 5/6Compare the absolute value of slopes:
-|3/4| < |5/6|The slope of the line A is shallower (or less steep, use the corresponding word from the drop down list) of slope of line B.
15 is 37 1/2 of what number?
Answers
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40
Please answer all 3 questions. I need real answers. It should only take about 10 minutes. Real answers only, or I will report you.
Answers
Answer:
1.(x-7)(x+2)=x^2-7x+2x-14=x^2-5x+14
2.(x+5)(x-1)=x^2-x+5x-5=x^2+4x-5
3.-2(x+1)(x-2)=-2(x^2-2x+x-2)=-2(x^2-x-2)=-2x^2+2x+4
I need some help with y = tan(x − π/4 ) + 1
Answers
thats the graph for it hope it helps
whats is 2+2?
im confused pls explain
Answers
In a random sample of 175 community college students, the mean number of hours spent studying per week is 13.7 hours and the standard deviation is 4 hours.
Assuming the distribution of the number of hours community college students study per week is normally distributed, approximately how many of the students in the sample study between 9.7 and 17.7 hours per week?
Answers
Answer:
Approximately there are 119.47 students per week
Step-by-step explanation:
The # of students in the sample study between 9.7 and 17.7 hrs per week;
P (9.7 < x < 17.7) = P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)
P (-4/4 < 7 < 4/4)
P (-1 < 7 < 1)
0.8413 - 0.1587
0.6827
Therefore the # of student = n P
175 * 0.6827
119.47
Anyone know the common ratio and zero term for this ?
4, 12, 36, ...
Answers
Answer:
36/12=3
12/4=3
Therefore, common ratio is 3
Tn = ar^(n-1)
T0=4*3^(0-1)
4*1/4
4/3
Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2/3 + y^2/3 = 4
(-3√3, 1)
(astroid)
Answers
Differentiate both sides of
[tex]x^{2/3} + y^{2/3} = 4[/tex]
implicite with respect to x :
[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for the derivative dy/dx :
[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]
Get the slope at the given point (-3√3, 1) :
[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]
Then the equation of the tangent line to the curve through (-3√3, 1) is
[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]
A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (V) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
50 POINTS NEED HELP ASAP PLS AND THANK YOU
Answers
It is observed that point (18, 206) does not lie on the line. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
y = 12x
Where 'y' represents the number of gallons of water in the pool and 'x' represents the number of minutes the water runs.
The equation is drawn below.
From the chart, it is seen that point (18, 206) doesn't lie on the line. Then the right choice is D.
More about the linear equation link is given below.
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Share ur negativity…
Answers
Answer:
I'm almost 30,000 dollars in debt
Step-by-step explanation:
It makes me cry
Natalie is a real estate agent and earns a 3% commission on all homes she sells. She estimates that she will earn $8,250 on the next house she sells. She actually earns $9,210. What was Natalie’s estimate for the selling price of the home? What was the actual selling price of the home?
Answers
Using the percentage principle, the estimated and actual sale price of the Home are $275, 000 and $307,000 respectively.
Commission on sale = 3%Estimated commison = $8250
Let Estimated sale price = P
3% × P = 8250
0.03p = 8250
p = 8250 / 3
p = $275000
Actual commission earned = $9210
Let Actual sale price = P
3% × P = 9210
0.03p = 9210
p = 9210 / 3
p = $307,000
Therefore, the estimated and actual sale price are $275,000 and $307,000 respectively.
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helpp meeeee plsssss
Answers
=75/16 divided by 5/4
=75/16 times 4/5
= 75 times 4
~~~~~~~~~
16 times 5
=300/80
=300 divided by 20
~~~~~~~~~~~~~~~~~~
80 divided by 20
= 15/4 =3 3/4
please mark me brainliest
What is the solution to the system -3×+4y+2z=-3 2×-4y-z=0 y=3x-13
Answers
Answer:
x=5, y=2, z=2
Step-by-step explanation:
y=3x-13
-3x+4y+2z = -3x + 4(3x-13) + 2z = 9x+2z-52 = -3
9x + 2z = 49 ... (1)
2x-4y-z = 2x-4(3x-13)-z = -10x-z+52 = 0
10x + z = 52 ... (2)
(2)*2-(1): 11x = 55 x = 5
y = 3x-13 = 15-13 = 2 y=2
z = (49-9x) / 2 = 2 z = 2
Identify which of the sequences below is a geometric sequence.
A. 2, 4, 6, 8,...
B. 3, 6, 18, 54, ...
C. 2, 6, 18, 54. ...
D. 2, 6, 18, 36, ...
Answers
Answer:
C or B
Step-by-step explanation:
because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C
I NEED HELP WITH THIS MATH PROBLEM!!!!!
WHICH EXPRESSION IS EQUIVALENT TO -8M-8+3M-6?
-11m-2 -5m-2
-5m-14 or -16m-3
Answers
Answer:
-5m-14
Step-by-step explanation:
-8M-8+3M-6
Add -8m and 3m, -8 + 3m = -5m
Next add negative 8 and 6, -6 + -8 = -14
Lastly, put it together, -5m -14.
Hope that helps!
What’s the domain and range ?
Answers
Answer:
2,5 I'm guessing
Step-by-step explanation:
because two up and five to the right even though its kinda blurry
What kinds of education did Martin Luther king JR have in high school and college?
Answer ASAP
Answers
Step-by-step explanation:
graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.
What is the result of 96-8? Use the model to find the answer.
00
12
32
Answers
Find the perimeter of the figure below. Notice that one side length is not given.
Answers
Step-by-step explanation:
Perimeter of the quadrilateral = sum of the length of all the four sides. Note: Missing side of the quadrilateral = Perimeter of the quadrilateral - Sum of the length of three sides.
how do you prove that vertical angles are ⩭
Answers
Answer:
congruent
Step-by-step explanation:
If two angles are vertical angles, then they're congruent
hope it helps
mark me brainliest
7+2n=8n-5
n=?
whatsl does n equal
Answers
8n -2n=7+5
6n =12
n =2
this is the answer
Because you have to combine like terms first
2n-8n=-5-7
-6n=-12 divide by 6
n=2