Anna and Bobie joined two different swimming classes at the same time.
Anna's swimming school charged an initial amount of $70 and Bobie's charged $250. Their monthly
fees were different.
The total amount paid for in the first t months is given by (PA) for Anna and (PB) for Bobie.
Anna paid $120 and Bobie paid $264 in total for the first two months, but after some months, they
found that they have paid the same amount in total.
After how many months will their total payments be the same and how much will it be?

Answers

Answer 1

Answer:

It would be 10 months for the price of $320.

Step-by-step explanation:

First we need to find how much Anna's swimming charge and Bobie's charge is.

PA=70+t The price of the month equals to the starting fee and monthly charge

120=70+2t The price of 2 months times the monthly charge

50=2t

25=t           is Anna's monthly charge

PB=250+t   is Bobies starting price and monthly charge

264=250+2t is the month charge for Bobie after 2 months

14=2t

7=t              is Bobie's monthly charge

70+25x=250+7x    We need to find x which is what month will satisfy both equations

25x=180+7x         Subtract 70 from both sides

18x=180                Subtract 7x from both sides

x=10                      divide 18 from both sides

Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.

PA=70+25x                                               PB=250+7x

PA=70+25(10)                                            PB=250+7(10)

PA=70+250                                               PB=250+70

PA=320                                                      PB=320


Related Questions

2. Write a quadratic function given the roots (4,0) and (2, 0) and the point 2 points
(3, 4). (2 pts) *

Answers

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[tex]y = -4(x - 2)(x - 4) [/tex]

[tex]y = -4 {x}^{2} + 24x - 32 [/tex]

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The expression for the quadratic function will be y = -4x² + 24x - 32.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that a quadratic function given the roots (4,0) and (2, 0). The quadratic equation will be formed as below:-

The two roots of the quadratic equation are 2 and 4 then the two factors will be ( x- 2 ) and ( x - 4).

y = -4(x-2)(x-4)

y = -4x² + 24x - 32.

Therefore, the expression for the quadratic function will be y = -4x² + 24x - 32.

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ5

-8g-5=-12g-33


Pls help

Answers

Answer:g=-7

Step-by-step explanation:

Answer:

The answer is g = -7

Step-by-step explanation:

pls vote brainliest

Can y’all answer the middle one Ill mark you brainlist.

Answers

Answer:

4.44 infinet

Step-by-step explanation:

If you are asking and need to round it up it will come up to

4.444

You need to round it up because the 4.444 goes on and on infinitely.

If you needed another answer comment what it is you need and I will answer you on there.

YW

the spinner has three regions 5 0 and 20to play the game you spin one time and then you win the amount in the region that the spinner lands on. what is the expected valuse of the game

Answers

Depends on the spinner is it a fidget spinner

Answer:

Step-by-step explanation:

Each region is equally likely.

5 * 1/3 = 5/3 = 1 2/3 = 1.67

0 * 1/3 =                          0

20*1/3 = 6 2/3 =          6.67

Total   =                       8.34

So if this really were a game you should be willing to put up 8.34 to play it.

You can create a simulation. Let the computer play 10000 times (which will take seconds). I'm going to try this for you. and see what happens.  

You throw 0          3309 times

You throw 5          3394 times

You throw 20        3290 times

The net result is that you will win 2.71 as you pay, which is what it should be.                                                        

2. Use the Pythagorean theorem to find the missing side of the following right triangles.
Round to the nearest tenth if needed.
2
B
a = 9
C
b = 12

Answers

Answer:

Pythagorean theorem which is a²+b²=c2

9²+12²=c²

225=c2

c=√225

c=15

During flag rugby, attacking players (offensive players) are NOT allowed to do the following: (Select all that apply)
Group of answer choices

Kick the ball

Flag guard

Run with the ball

Hand the ball to another player

Answers

Answer:

Flag guard, kick the ball, and hand the ball to another player

Step-by-step explanation:

Just did the P.E. quiz our teacher assigned us. I've seen you in our classes, dude.

Expense
Percent of Budget
40%
11.7%
Item
Rent
Food
Transportation
Utilities
Insurance
Taxes
Monthly Total
Annual Expenses
$350
$150
$400
13.3%
1
2
How much will Paul pay in Rent? $1200
How much will Paul pay
What percent will Paul pay for Food?
type your answer....
What percent of Paul's

Answers


don’t do this go text ur boyfriend or girlfriend

3/2:1/4 as a unit rate

Answers

Answer:

25

Step-by-step explanation:

Which of the following is the graph of y = StartFraction 1 Over x + 2 EndFraction + 1?
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.

Answers

Answer: C

Step-by-step explanation:

Use the graph ln the left side.

The description of the graph of the function [tex]y = \frac{1}{x + 2} + 1[/tex] is the description (c)

How to determine the graph of the equation?

The equation is given as:

y = StartFraction 1 Over x + 2 EndFraction + 1?

Rewrite properly as:

[tex]y = \frac{1}{x + 2} + 1[/tex]

The above equation is the translated equation from an inverse function

The graph of the function pass through the points (0,1.5) and (-3,0)

Hence, the graph of f(x) = √x is (c) On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = -2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left, and it crosses the x-axis at (-3, 0).

Read more about functions at:

https://brainly.com/question/4025726

#SPJ2

In 1986 a family member invested$ 100 each month into savings account with an interest rate of 0.25% that didn't change. In 2016 you decided you needed to use that saved up money for a big purchase so you cash the savings account out

Answers

Complete question is;

In 1986, a family member invested $100 each month into a savings account with an interest rate of 0.25% (that didn't change). In 2016, you decided you needed to use that saved up money for a big purchase, so you cash the savings account out.

How much money should be in the account using the FV formula?

Answer:

FV = $107.78

Step-by-step explanation:

We are given;

Present value; PV = 100

Interest rate; r = 0.25% = 0.0025

We are told the PV was in 1986 and In 2016 you decided you needed to use that saved up money .

This is a period of 30 years.

Thus, the number of compounding periods is n = 30

Formula for FV is;

FV = PV(1 + r)ⁿ

FV = 100(1 + 0.0025)^(30)

FV = $107.78

For f(x) = -x + 8, which statement is true?
Group of answer choices

f(x + k) = f(x) + k

f(x + k) = f(x) + f(k)

f(x - k) = f(x) - k

f(x - k) = f(x) + k

Answers

I think it’s f(x+k) = f(x) + k correct if I’m wrong

Help me please for points

Answers

Payo ko lang sayo:Makinig ka sa Lesson nyo at pag-aralang mabuti wag kang gumaya saken minsan lang ako makinig

PLEASE HELP 50 POINTS!!

Answers

Answer:

Step-by-step explanation:bdhdhshsbnskaosnndndkwo

Answer:

(5x * 1y) + (1x * 3y)

Step-by-step explanation:

Feel free to give brainliest

Have a great day!

Which linear inequality is represented by the graph?

PLEASE HELP

Answers

Answer:

It would be c.

I hope that helps

Step-by-step explanation:

If you look at (0,0) you can see that if you go up two it will be right across second point.

Dennis wants to save $189 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many weeks will it take him to save enough money for the whole trip?

Answers

Answer:

x = 13.5 weeks

Step-by-step explanation:

Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.

189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.

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Answers

Answer:

its A

Step-by-step explanation:

What is the value of -16 divided by 2.5

Answers

Hey the answer to your question is -6.4

Free Brainlyest for who says bababoi first

Answers

Answer:

bababoi .. yay I did something

Answer:

bababoi

Step-by-step explanation:

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In Jeopardy, if you answer a question
incorrectly. you lose points. If Owen's score
is 200 points, then he answers a 350-point
question incorrectly, find his score.
Need this ASAP

Answers

-150 points cause 200-350= -150

Answer:

-150 points cause 200-350= -150

Step-by-step explanation:

Can i have brainliest i've never got one before

Plz help me I am timed
What kind of triangle is shown below?
OA) scalene triangle
OB) right triangle
OC) equilateral triangle
OD) isosceles triangle

Answers

Answer:

The answer is equilateral triangle

Answer:

OA) scalene triangle

Step-by-step explanation:

hope this helped also all angles are 60 degrees that's how you know ;)

Elena works on a farm that has three types of animals. There are a total of 47 animals. 28% are chickens, 40% are cows, and 32% are pigs. About how many more cows are there than chickens? Please help very fast!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

there are about 12% more cow than chickens

40% - 28%

Given that Jocelyn saved $60 in 8 weeks, predict the number of weeks it will take Jocelyn to save $90. Include in your explanation any assumptions that must be made in order to make the prediction. Enter your explanation in the space provided.

Answers

number of weeks: w is the x value, and the number of money saved: m  is the y value. First, we need to find out how much she makes in 1 w and because k = y/x, we need to divide 60 by 8, which gives u 7.5, so she saves $7.50 every week Finally, we figure out the number of weeks it takes her to save $90, and to do that, we use the formula x = y/k. Using that formula, we get the expression $90/$7.50 or $90/$7.5. 90/7.50 = 12, so x = 12. It will take her 12 weeks to save $90. In order to check our answer, we can say that we didn't know the number of m she saved, but we do know how many weeks. To find a solution, we use the formula y = kx (the blank between kx means that we are multiplying). Using that formula, we get the equation 12 X 7.50. When we solve this equation, we get 90, and since it is the same answer as the real problem, that means the answer for the real problem is correct. (BTW sorry this is so long)

I’ll give Brainly! Write a corresponding real-world problem for each equation.

1. 0.55x + 4.50 = 0.65x + 3.50

2. 8x + 80 = 4x + 120

Answers

One day I went to the store I wanted to buy t things 1 one of them was 0.55x and the other was 4.50 all together is 0.65x plus 3.50


One day I had things for a party I had a children that was 8x and many balloons that was 80 all together they were 4x plus 120

Can someone help me plz

Answers

Answer:

blahhfhdhdhhshshhdhdhdhdhdhshhshhshshdh

Can someone help me please

Answers

Answer:

3.5 × 10 to the power of 5 :)

Step-by-step explanation:

Hope this helps!

3.05 x 10 5 tell me if u want me to explain it to u

What is the length of the missing side of this triangle? *

Answers

Answer:

8.9

Step-by-step explanation:

- there are two given sides and its a right angle triangle so you can use pythagoras

- 12^2 = 8^2 + y^2

- rearrange

y = [tex]\sqrt{(12)^2 -(8)^2}[/tex]

y = 8.9


Marc earns $45,000 per year. If he does not work for 2 months in a year, how much money would he earn?

Answers

Answer:

$37500

Step-by-step explanation:

45000 divided by 12 = 3750

3750 is how much he earns each month.

3750x2=7500

7500 is how much he earns in 2 months

45000-7500=37500

Answer:

37,500

Step-by-step explanation:

if he makes 45,000 a year, we need to find out how much he makes per month.

divide 45,00 by 12= 3750 per month

3750 times 2 months= 7500

45,000-7,500= 37,500

ahhh sorry i didnt realize someone else already answered while i was typing this

I need a girl and yes I understand I’m on the wrong website please don’t report smh

Answers

Answer:

lol, what for?

Step-by-step explanation:

Answer:

So the answer would be B.

Step-by-step explanation:

This is not the right site like you said also no one knows your age or what you look like so good luck buddy.

PLEASE HELP ASAP

Use trigonometry to resolve the following vectors into components. Describe the vectors
using vector notation.


Answers

answer: 87

step by step explanation:

(Ill give brainliest, Pls help me! Also, Pls write at least 3 sentences to explain why. Ty :) )


67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.

Answers

Answer: it would be less

Step-by-step explanation: it is less because it is split into more pieces and it is not as big as 67,124

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