Mathematics College

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

Answer 1

100+(20×10)=300

30×10 =300

months = 10

Answer 2

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

Find the value of the
trig function
a. Cos Ɵ = 2/5 find Tan Ɵ
b. Cosec Ɵ = 7/3 find Cos Ɵ
c. Cot Ɵ = 4/3 find Sec Ɵ
d. Tan Ɵ = 3 find Cosec Ɵ

Answers

Answer:

cos θ = 2/5, tan θ = ?

tan θ = sin θ / cos θ tan θ = √sin² θ / (2/5) tan θ= 5√(1 - cos²θ) / 2 tan θ = 5√(1 - 4/25) / 2 tan θ = 5√(21/25) / 2 tan θ = √21 / 2

cosec θ = 7/3, cos θ = ?

cosec θ = 1/ sin θ cosec θ = 1/ √(1 - cos²θ) √(1 - cos²θ) = 1 / cosec θ1 - cos²θ = (1 / (7/3))² cos²θ = 1 - 9 / 49cos²θ = 40/49cos θ = √40/49cos θ = 2√10/7

cot θ = 4/3, sec θ = ?

cot θ = cos θ / sin θcos θ = cot θ * sin θcos θ = 4/3 * √(1 - cos²θ)9cos²θ = 16(1 - cos²θ)25cos²θ = 16cos²θ = 16/25cos θ √16/25cos θ = 4/5sec θ = 1/ cos θsec θ = 1/ (4/5)sec θ = 5/4

tan θ = 3, cosec θ = ?

sin²θ + cos²θ = 11 + cos²θ/sin²θ = 1/ sin²θ1 + 1/tan²θ = cosec²θ1 + 1/9 = cosec²θcosec²θ = 10/9cosec θ = √(10/9)cosec θ = √10 / 3

PLEASE HELP ME FAST!!!
The volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches

Answers

Answer:

D. 16 in²

Steps:

given:

V = 32 in³

h = 2

Ab = V/h

Ab = 32/2

Ab = 16 in²

Answer:

D. 16 square inches

Step-by-step explanation:

Hope this helps

Please thebecks please

Answers

Answer:

1.8

Step-by-step explanation:

If we know Xin ordered 5 identical pieces of bread, this must mean that each one weighs the same

By dividing the 9 pounds with 5 (the amount of bread) we will get 1.8

So each bread is 1.8

but if u want to check the answer then we can multiply 1.8 with the 5 loaves of bread and it will result in 9

a raffle ticket costs $1.50 how many tickets would i need to sell to make my target of $150?

Answers

150/1.5 = 100

so 100 tickets

If a raffle tickets cost $1.50 and you need to make $150, you need to sell 100 tickets to meet your goal.

If 5b -1= b, then 16b =

Answers

Answer:

80b-16

Step-by-step explanation:

16(5b-1)

Which of the following is equal to the expression listed below?

70+30

A.(10x7)(10x3)
B.10+(7x3)
C.(10+7)(10+3)
D.10(7+3)

Answers

I’m pretty sure the answer is D

A coffee shop sells their coffee beans by the pound. the table below shows the cost in dollars for a pound of two different types of beans. How much more is the cost for 1 1/3 pounds of jimmy jitters beans then the calls for 1 1/3 pounds of Harry's himalayan beans

Answers

Answer: 23.6

Step-by-step explanation:

9.25+8.42 = 17.7

1 1/3 x 17.7 = 23.6

at donald's donuts the number of donut holes in a bag can vary. Help donald find the mode. 12,10,10,10,13,12,11,13,10

Answers

Answer:

Mode is 10

Step-by-step explanation:

The mode is 10, because it appears the most.

Hope this helps!

Answer:

Step-by-step explanation:

I just did it in i ready

I need help with number 3

Answers

Answer:

Step-by-step explanation:

60+70=130

M=50

K=130

m+k=180 it all adds up

Pick me chose me love me NOW HELP ME WITH MATH

Answers

Answer:

Same

Step-by-step explanation:

Answer:

W=90

Step-by-step explanation:

THERES a box

What is cos 30º?
O A. 13
B. 1
Oc.
O D.
3
2
E.
O F. 1 /

Answers

Answer: I do not understand the options you gave but but cos30º is equal to [tex]\sqrt{3}[/tex]/2 which is 0.86602540378.

1) 22 oz =
Ibs
oz. plz help with this one

Answers

Answer:

1.375 lbs

Step-by-step explanation:

You decide to study the effects of smoking, drinking and partying on life satisfaction. To do so, you assign people randomly to one of two smoking conditions (smoking or not), one of three drinking conditions (no alcohol, 1 drink per day, several drinks per day) and partying conditions (no partying, 1 hour of partying per day, 2 hours of partying per day). This design has

Answers

Answer:

3 factors ; 18 total conditions

Step-by-step explanation:

The study focuses on the 3 factirs which impacts life satisfaction. Thses factors are : Smoking ; Drinking and Partying and they constitute the 3 different factor variables in the study.

For each factor variable, each has a number of different conditions ;

For smoking : 2 conditions (smoking and not smoking)

Drinking : 3 conditions (no alcohol, 1 / day ; several per day)

Partying : 3 conditions (no partying, 1 hour of partying / day, 2 hours of partying / day)

Total number of conditions :

(2 * 3 * 3) = 18 conditions

What is the angle of rotation of the image?
A. 60°
B. 90
C. 120
D. 180

Answers

Answer:

Step-by-step explanation:

360/3 = 120

write 3^n/9^(n-1) as a power of 3

Answers

The correct answer is 3^(2 - n)

If it took 8 hours to mow 5 lawns, then at that rate, how many lawns could be
mowed in 32 hours?
20 lawns
51 lawns
24 lawns
16 lawns

Answers

I’m not completely sure, but if you do 8 divided by 5 and multiply that by 32, you get 51.2, which means you would complete 51 lawns and a little of another. I hope this helps.

2x+3y=15 x+y=6 solve these simultaneous equations

Answers

Answer:

do you need it for both sides

Step-by-step explanation:

3 Solve the equation log 2x = -5.
a) 2.5
b)-2.5
c) 0.000005
d) 0.025

Answers

2x = -5

x = -5 : 2

x = -2,5

................

Consider the functions shown on the graph. A coordinate grid with two lines. One line labeled f(x) and passes through (negative 3, 1), (0, 1), and point (1.5, 1). The second line is labeled g(x) and passes through point (0, negative 1), point (1.5, 1), and point (3, 3). What is the best approximation for the input value when f(x)=g(x)?

Answers

Answer:

1.5, C

Step-by-step explanation:

Took the test.

Answers

Answer:

68 people

Step-by-step explanation:

Find how many finished in under 3 hours by multiplying 80 by 0.85

80(0.85)

= 68

So, 68 people finished in under 3 hours

11 1 point Are the two triangles are congruent by SSS, SAS, ASA, AAS or NO (not enough information given) Answer SSA : AAA NO SAS AAS SSS SASA Previous

Answers

Answer:

, its SSS ,SAS , AAS , ASA

Step-by-step explanation:

Find the missing lengths!!!!!!!

Answers

Answer:

Step-by-step explanation:

It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] = 13

the area of a square room is 144square metres what is the perimeter of the room

Answers

Answer:

the answer is 48

Step-by-step explanation:

12×12=144

4×12=48

Which players' hit totals would you use to find the range?

Answers

Answer:

17. a 18. c 19. d 20. b

Step-by-step explanation:

Hello, for the first question, you just take the person with the largest number and the person with the smallest number. Kenny (5) and Sammy (0).

For question 18, you just add up all the numbers like this:

0+1+3+5+4+1+1+2+1= 18

And then you divide it by the number of people there which is 9:

18/9=2

For question 19, you arrange all the numbers from least to greatest like this:

0,1,1,1,1,2,3,4,5

And then you count on both ends until it meets the middle. 1 is the middle.

For the last question, you just find the number that appears the most, which is one.

The volume of this rectangular prism is 53.72 cubic centimeters . what is the value of y?

Answers

Answer:

y = 1.7 cm

Step-by-step explanation:

V= lwh

w = [tex]\frac{V}{lh}[/tex] = [tex]\frac{53.72 cubic centimeters}{4cm(7.9cm)}[/tex] = 1.7 cm

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

I believe the answer is $ 231.00.

Step-by-step explanation:

I might be wrong, but please don't hate me if I am!!

First I found the sales tax of the nice running shoes by multiplying the price of the shoes by the sales tax:

216 * 6.5% = 14.04

Then I added the sales tax to the price of the nice running shoes:

$ 216 + $ 14.04 = $ 230.04

Since Jim doesn't have any change and can only pay in cash, you would round $ 230.04 to the nearest dollar:

$ 230.04 is rounded to $ 231.00 :D

5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?

Answers

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

[tex]22x + 10y = 774[/tex]

Since [tex]x = 57 - y[/tex]

[tex]22(57 - y) + 10y = 774[/tex]

[tex]1254 - 22y + 10y = 774[/tex]

[tex]12y = 480[/tex]

[tex]y = \frac{480}{12}[/tex]

[tex]y = 40[/tex]

40 children went on the cruise.

PLEASE ANSWER THIS QUICK I WILL GIVE BRAINLIEST IF RIGHT AND WILL GIVE THANKS!

Answers

Answer:

4,896sq

Step-by-step explanation:

just multiply bro

Answer:

104m²

Step-by-step explanation:

[tex]Area =\frac{b_{12} + b_{2}}{2}*h=\frac{9+17}{2}*8=104m^{2}[/tex]

If y varies directly as x and x=6 when y = 3 what will y be when x = 10

Answers

Answer:

y = 5

Step-by-step explanation:

9. The drone descends 2 feet per minute. Represent the drone's position
with an integer after 7 minutes. *
8 points

Answers

Answer:

-14

Step-by-step explanation:

lets assume its at 0 at t = 0

it desends 2 per 1

so after 7, its -2 * 7

and the answer is -14

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