Two companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 a month. Company B does not charge an upfront fee but charges $35 a month. After how many months will the two companies charge the same amount?

Answers

Answer 1

Answer:

After 5 months each company will charge the same amount

Step-by-step explanation:

Math Modeling

The situation raised in the question can be modeled as follows.

Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:

Ca = 75 + 20x

Company B charges no upfront fees, and $35 a month. We model its charges Cb as:

Cb = 35x

We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:

75 + 20x = 35x

Subtracting 20x:

75 = 35x - 20x

Swapping and simplifying:

15x = 75

Solving:

x=75 / 15

x=5

After 5 months each company will charge the same amount


Related Questions

Round the number to the place of the underlined digit. 42.76 The rounded number is​

Answers

Answer:

what am i supposed to be rounding to

Step-by-step explanation:

if i was rounding to the tenths it would be 42.8

During your morning workout, you run for 20 seconds for every 3 seconds you sprint. Determine the constant of proportionality for the ratio between the number of seconds you run and the number of seconds you sprint.​

Answers

Answer:

Constant of proportionality; k = 20/3

Step-by-step explanation:

Let running be A and sprinting be B.

Now, we are told that you run 20 seconds for every 3 seconds you sprint.

This means that is directly proportional to B and written as; A ∝ B.

Now, constant of proportionality is simply the ratio between 2 quantities that are directly proportional.

Thus, A = kB

Where k is the constant of proportionality

Plugging in the values of A and B we are given, we have;

20 = 3k

Divide both sides by 3 to get;

k = 20/3

what is the equation of the line for figures G and
H

Answers

Answer:

B = C + (C - A) = (51/50 + 51/50 - 2, 457/50 + 457/50 - 9) = (1/25, 232/25).

Step-by-step explanation:

jacinda May 16 baskets during the basketball game Greta May 4 baskets the number of baskets jacinda made is how many times more than a number of baskets Greta made

Answers

Answer:

4

Step-by-step explanation:

10b - 2 = 7b - 7.4 NEED ASAP!!!!!!!

Answers

Answer:

b=−1.8

Step-by-step explanation:

the last washer is 7/10 pls help me thank u

Answers

Answer: The answer is 7/21

What is 60 percent of 92?
O 1.53
0 5.52
O 15.3
0 55.2

Answers

60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

60 percent of 92

Let x be the 60 percent of the 92

x = 60 % of 92

x = (60/100)92

x = 55.2

Thus, 60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ6

Hi - hi = x

(x) - hi + no = y

(y) x (x) =?

If you can solve this you get brainliest.

Answers

Answer:pi=72628

Step-by-step explanation:

Answer:

hi=bye

Step-by-step explanation:

-17 + 20 + (-3)
SOMEBODY HELP ME PLS ASAP

Answers

Answer:

0

Step-by-step explanation:

find the length of x

Answers

The correct answer is B

In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 101. What is the probability that the sample proportion will be within 3 percent of the population proportion?

Answers

Answer:

0.5137

Step-by-step explanation:

The margin of error equals the critical value times the standard error.

MoE = CV × SE

In this case, the critical value is the z-score.

For a proportion, the standard error is:

SE = √(pq/n)

SE = √(0.75 × 0.25 / 101)

SE = 0.04309

Therefore:

0.03 = z × 0.04309

z = 0.6963

So the probability is:

P(-0.6963 < Z < 0.6963)

= P(Z < 0.6963) − P(Z < -0.6963)

= 0.7569 − 0.2431

= 0.5137

Please help what Is
1/5 x -9.5

Answers

Answer:

-1.9

Step-by-step explanation:

Hope this helps!

Answer:

-1.9

Step-by-step explanation:

0.2 x -9.5 = -1.9

write an equation for the line Below​

Answers

Answer:

y=-1/2x

Step-by-step explanation:

Answer:

y=-1/2x

Step-by-step explanation:

shown in graph

express the polynomial 5x^2+8x^5-3^3+4-9x in standard form

Answers

Answer:

The answer is 8x^5 + 5x^2 + 9x − 31

If 3x-y=12, then y/3=?

Answers

Answer:

4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

To find what y equals, x has to be 0.

3x-y=12

3(0)-y=12

-y=12        (multiply by -1 so y is not negative)

y=-12

Because y=-12 you need to do -12/3 to get your answer to y/3

-12/3=-4

It cost Emma $5.34 to send 178 text messages. How much does each text cost to send?

Answers

Answer:

approximately $0.33

Step-by-step explanation:

you just do 178/5.34

What other combinations of sides and angles do you think we can use to conclude that the triangles are congruent?

Answers

Ansi need this too

Step-by-step explanation:

At an end-of-summer clearance sale, Nathan sees a hat marked "65% Off." The original price was $12.98.
Part A
How much money is discounted from the original price? Show your work. Round your answer to the nearest cent.

Answers

Answer:

$4.54

Step-by-step explanation:

Because if you take $12.98 and multiply that by 65% you will get 8.437 and when you subtract that by the original amount you will get $4.54.

Can some one send me the Answers to this book plzz

Answers

Answer:

all of the answers should be in the back

Step-by-step explanation:

Evaluate the expression -7(-6)+12

Answers

Answer: 54

Step-by-step explanation: coz I juss know

The answer is 54 because: -7•(-6)= -42. Then you add 12 to -42 which is -54

Solve It! The area of a rectangular solar panel is given by the trinomial below.
x^2+7x+12

The height of the solar panel is given by the binomial below.
x+3

What is an expression for the length of the panel?


A.x^2+6x+9

B.x+3

C.x^2+3

D.x+4

Answers

Answer:

im not sure hmu if gets answered

Step-by-step explanation:

Can someone please help, ty!!

Answers

the correct graph is A

Answer:

A

Step-by-step explanation:

if its negative its going to face downwards

also, the +3 means you go up on the y axis

if its just x its 1/1

pls help asap for brainiest answer!

Answers

Answer:

Quest 1. is C, i.e 8. besides thier base are equal.

Quest 2. is D

Wuest 3. is C

6*? -4=17. Please answer my question

Answers

Answer:

3.5

Step-by-step explanation:

add 4

6x=21

divide by 6

x=3.5

Please help me with these 2 questions :(

Answers

Answer:

1st: y=-2x-3

2nd:y=-2x-13

Step-by-step explanation:

Since the line is parallel to y = -2x-4, its slope is -2. Therefore, we have the equation y=-2x

But when we evaluate that equation at -1, we get -2(-1)=2, but we want to make it equal to -1 when evaluated at -1. Therefore, we can subtract 3, as 2-3=-1.

Therefore, the equation is y=-2x-3.

For the second question, we can use a similar concept. The slope will be -2, but if you directly evaluate it at -4, it's going to be 8, but we want it to be -5, so we subtract 13.

Therefore, the equation is y=-2x-13

Problem 1

Answer:  y = -2x-3

--------------

Explanation:

Parallel lines have equal slopes but different y intercepts.

Linear equations in the form y = mx+b have slope m and y intercept b.

The slope of y = -2x-4 is m = -2

So any parallel line to this will also have m = -2

Plug (x,y) = (-1,-1) along with the value of m, into y = mx+b and solve for b

y = mx+b

-1 = -2(-1)+b

-1 = 2+b

2+b = -1

b = -1-2

b = -3

The parallel line is y = -2x-3

==============================================

Problem 2

Answer:  y = -2x-13

--------------

Explanation:

We'll use the same ideas and steps as problem 1.

y = -2x-5 has slope m = -2

The parallel line also has slope m = -2

We want the parallel line to go through (x,y) = (-4,-5)

So,

y = mx+b

-5 = -2(-4)+b

-5 = 8+b

8+b = -5

b = -5-8

b = -13

The parallel line is y = -2x-13

using logarithms table, evaluate
4.962-√4.779​

Answers

Answer:

3.404

Step-by-step explanation:

You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A. 7,200 J
B. 60 J
C. 14,400 J
D. 29 J
This is for apex i need help asap

Answers

Its A. 7,200 joules.

Is 1/3 a repeating decimal ?

Answers

Answer:

yes i also poop on poop though so it is fun

Step-by-step explanation:

1/3= poop

Answer:

Yes.

Step-by-step explanation:

1/3 = 0.333333333

Drawing one card from a standard deck of cards. what is the sample space and outcome?

Answers

Answer:

sample space 2 inches outcome  1/52

Step-by-step explanation:

Given the sample data x: 23 17 15 30 25 (a) Find the range.

Answers

15 because range is biggest number (30) take away smallest number (15)

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