Helen borrowed money from her aunt to pay for college expenses. The graph below shows the amount left
on the loan as it is paid off over time. Write a linear equation that describes the amount, A, that Helen owes her
aunt to the number of months, n, since she borrowed the money. Show your work that supports your answer

Answers

Answer 1

Answer:

[tex]y = -100x + 13000[/tex]

Step-by-step explanation:

See attachment for graph

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (0,13000)[/tex]

[tex](x_2,y_2) = (130,0)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0 - 13000}{130 - 0}[/tex]

[tex]m = \frac{- 13000}{130}[/tex]

[tex]m = -100[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 13000 = -100(x - 0)[/tex]

[tex]y - 13000 = -100x[/tex]

Make y the subject

[tex]y = -100x + 13000[/tex]

Hence, the line equation is:

[tex]y = -100x + 13000[/tex]

Helen Borrowed Money From Her Aunt To Pay For College Expenses. The Graph Below Shows The Amount Left

Related Questions

determine whether the triangles are congruent by sss sas asa aas or hl

Answers

AAS.
The vertical angle.
The marked angle.
And the marked side.

During the month of april it rains 2 days for every 3 days it does not rain. what percent of the days in April does it rain?

(dont answer this if you cannot xd)

Answers

Answer:

40%

Step-by-step explanation:

I pretty sure this is correct. let me know if its not and i will try again!

Answer:3. |x-3|= 1/2

Step-by-step explanation: Each terms of a certain sequence is greater than the term befor it. The difference between any two consecutive terms in the same sequence is always the same number. If the third and sixth terms of the sequence are 17 and 77, respectively, what is the 8th term?

3. |x-3|= 1/2

help neeeddded........

Answers

Answer:

D 7a - 11b

Step-by-step explanation:

9a- b -2a - 10b

7a - b -10b

7a - 11b

Answer:

I believe the correct answer is D.

Step-by-step explanation:

Graph y=-3x+4
Please Help

Answers

Answer:

(-2,10)

(-1,7)

(0,4)

(1,1)

(2,-2)

(3,-5)

Step-by-step explanation:

Answer:

your anwer is x=-1/3y+4/3

Step-by-step explanation:

A 10-foot by 12-foot wall has two windows that measure 3 feet by 5 feet each.
5 feet
5 feet
10 feet
3 feet
3 feet
12 feet
If the windows are not to be painted, what percent of the wall will be painted?

Answers

12 ft maybe? i dunno im sorry if this is wrong


What is the equation of this line?

Please Help

y=1/2x -2
y=-2x -2
y=2x -2
y=-1/2x -2

Answers

Answer:

the first option

Step-by-step explanation:

the slope is the rise over run (up over across) and the line meets the y axis at -2 so that is your intercept

Someone please help me !!!!!

Answers

It is 3.2 I believe
It’s 2.9 bc it’s 11 numbers

if you have a GCF of x is that a root?

Answers

Answer:

No,

Step-by-step explanation:

No, GCF is not a root, it is the coefficient of x.

What is f'(x) = if f(x) =4tan (1/2-x
No need to answer I just want to get rid of the points.

Answers

Answer:

ok

Step-by-step explanation:

A lion can run 18 mph faster than a giraffe. If a lion can run 50 mph how fast can the giraffe run?

Answers

Answer:

32

Step-by-step explanation:

its just 50 minus 18 and dont forget to borrow

Answer:

32mph

Step-by-step explanation:

So I think all you have to do is subtract 18 from 50 so 50 - 18 = 32mph

So in conclusion the giraffe can run 32mph if a lion is running at 50mph

A company claims that its laptops have an average battery life of at least 12 hours. How would you formulate this

Answers

Options:

H0 :

H0 : µ =12

H0 > 12> H1

None of these

Answer:

None of these

Step-by-step explanation:

The answer is

H0 : µ ≧ 12

Ha : µ<12

We formulate the null and alternative hypothesis here to state that battery life of the laptop lasts at least 12 hours(more than but not less, null hypothesis) or that it lasts less than 12 hours(alternative hypothesis).

The null hypothesis is the one being tested to know whether we would reject it or not in which case we choose the alternative hypothesis. To test the hypotheses, we do a t test using a significance level of say 0.05(95% confidence interval) and find our p value in order to compare and decide if the null hypothesis would be rejected or not based on statistical significance.

The cost of 4 belts and 5 ties is $247. Each time costs 3 times as much as a belt. What us the total cost of 1 belt and 1 tie

Answers

Answer:

The total cost of 1 belt and 1 tie is $13 and $39 respectively.

Step-by-step explanation:

Given that,

The cost of 4 belts and 5 ties is $247.

Each tie costs 3 times as much as a belt.

Let the cost of a belt is x and that of a tie is y.

ATQ,

4x + 5y = 247 ...(1)

y = 3x ....(2)

Put the value of y from equation (2) in equation (1)

4x + 5(3x) = 247

4x + 15x = 247

19x = 247

x = 13

Put the value in equation (2)

y = 3x

= 3(13)

= 39

So, the total cost of 1 belt and 1 tie is $13 and $39 respectively.


Help me pleasee Jesus (10 points )

Answers

Answer:

Pretty sure it's 29

Step-by-step explanation:

The triangle has to be 180 degrees so 15+36=51 180-51=29

Answer:

45°

Step-by-step explanation:

In a triangle all the angles added together will equal 180°

PLEASE HELP!! Algebra 2

Answers

Answer:

No

Edit:

Yes, based on original equation. (Credit to greenpumpkin for correction)

Step-by-step explanation:

For this problem, we simply need to find the values of x that can make the equation true.  So, let's begin by isolating the "x" variable.

sqrt(2x + 13) = x + 5

[sqrt(2x + 13)]^2 = (x + 5)^2

2x + 13 = x^2 + 10x + 25

0 = x^2 + 8x + 12

Note, we can remove the sqrt method by squaring both sides of the equation.  Doing this, we see we have a quadratic equation meaning we can apply the quadratic formula to find solutions for x.

[-b +/- sqrt( b^2 - 4(a)(c) ) ] / 2a

Let a = 1, b = 8, and c = 12

[-8 +/- sqrt( (8)^2 - 4(1)(12) ) ] / 2(1)

= [-8 +/- sqrt( 64 - 48 ) ] / 2

= [-8 +/- sqrt(16) ] / 2

= [ -8 +/- 4 ] / 2

So, x = [ -8 + 4 ] / 2  and x = [-8 - 4 ] / 2

x = [-4] / 2 = -2  and x = [-12] / 2 = -6

Hence, the two values of x that can solve this quadratic equation are x = -2 and x = -6.

Therefore, we know that x = -6 is not extraneous, meaning it is a solution to our equation.

Cheers.

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

Edit:

Plugging the value of -6 back into the original equation, we get the following:

sqrt(2x + 13) = x + 5

sqrt(2(-6) + 13) = (-6) + 5

sqrt (1) = -1

1 != -1

Given that 1 cannot equal negative 1, we can say that x = -6 is an extraneous solution. (Credit to greenpumpkin for correction)

4/ PLEASE HELP ME ON THIS. ASAP

Answers

Answer: a,b,d,e are all right beacuse they all relate to the question

Step-by-step explanation:

c how ever is no shown on the graph and is therefor wrong

Below are the test scores of nine students on the math test:

50, 50, 50, 50, 51, 89, 90, 90, 90

What is the mean absolute deviation of the test scores? (round to the nearest thousandth)

Answers

Answer:

The mean absolute deviation is 19.5

Step-by-step explanation:

Hope this helps!

Help. I don’t understand this.

Answers

Answer:

f(6)=2

f(2)=4

f(0)=7

f(5)=1.5

f(x)=1 x=4

Step-by-step explanation:

f(x)=y.The numbers represent the x values. As you are plugging in a number for x. Just look at the graph on the x-axis to get the y-values.

Identify the next three numbers in this sequence : 2,8,4,16,12

Answers

Answer:

18, 14, 20

Step-by-step explanation:

Answer:

I got A 18,14, and 20

Step-by-step explanation:

PLZ CORRECT ME IF I AM WRONG PLZ AND THANK YOU

Solve.
4x -6= 14
X=?

Answers

Answer:

5

Step-by-step explanation:

Given:

[tex]4x-6=14[/tex]

Add both sides by 6:

[tex]4x-6=14[/tex]

    [tex]+6=+6[/tex]

[tex]4x=20[/tex]

Divide by 4:

[tex]\frac{4x}{4} =\frac{20}{4}[/tex]

Solve for x

[tex]x=5[/tex]

The value of x in the equation is 5.

Given is an equation 4x - 6 = 14, we need to find the value of x,

To find the value of x in the equation 4x - 6 = 14, we can follow these steps:

Add 6 to both sides of the equation to isolate the term with x:

4x - 6 + 6 = 14 + 6

4x = 20

Divide both sides of the equation by 4 to solve for x:

(4x)/4 = 20/4

x = 5

Therefore, the value of x in the equation 4x - 6 = 14 is 5.

Learn more about equation click;

https://brainly.com/question/29538993

#SPJ6

find the slope of the line please help

Answers

Answer:

2/5 I think I'm not sure tho :/

Answer:

Slope is -1/2 this is the answer 1 down and 2 across.

Step-by-step explanation:

Can I have brainiest

It's impossible to use a Cartesian coordinate system to measure three-
dimensional objects.
A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

(Mark me Brainliest Please .-. )

It’s B.false for sure

What are the answers and how?

Answers

Answer:

a) [tex]x=2p-4[/tex]

b) our team scored 44 points

Step-by-step explanation:

Your basketball team scored 4 fewer than twice as many points p as the other team.

a) Write algebraic expression

Let x is your basketball team score, the expression will be:

[tex]x=2p-4[/tex]

b) The other team scored 24 points. How many points did your team score?

p=24

we need to find x

[tex]x=2p-4\\Put \ p=24\\x=2(24)-4\\x=48-4\\x=44[/tex]

So, our team scored 44 points

easy question and easy point


what is 2+2-2+6*8

Answers

the answer is 46 thank you
The answer is to your question is obviously 8

Please choose all linear functions with slope that is greater than jamals linear function.

Answers

Answer:

a b

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASE

Answers

Answer:

B) EF

Step-by-step explanation:

A diameter the length of the line through the center that touches two points on the edge of the circle.

In this case, EF is the two points touching the edge of the circle.

49 increased by twice a number m
W
49(2m)
2m - 49
49 + 2m
2m + 49

Answers

Answer:

The answer to this question is 49+2m.

Answer:

49 + 2m

Explanation:

49 is being Increased by so you would be adding a certain ammount to 49

3) There were 35 children and 10 adults at a barbeque.
a. What is the ratio of adults to
children at the barbeque?
b. What is the ratio of children to
total people at the barbeque?
c. Five more children came to the
barbeque. Now what is the ratio
of children to total people?

Answers

Answer:

3. a. 10:35= 2:7

b.35:45=7:9

c.40:50=4:5

11)
Paul pays the delivery man £180 for working 24 hours.
How much will he pay him for working 40 hours?
£

Answers

Answer:

£196

Step-by-step explanation:

1) 180/24=7.5

2) 40-24=16

3) 180+16=196

so he has to pay £196

5. Ellen wants to rent a bike. They charge a $12 service
fee plus $16 per hour and she can spend at most $140,
how many hours can she rent the bike?

Answers

Answer:

5

Step-by-step explanation:

cuz 12 +16 is 28, 140÷28 is 5

Answer:

16h + 12 = 140

Step-by-step explanation:

She can ride the bike for 8 hours.

On Monday, November 16, 2020, 11 students from class 731 were present for math class. If there are 29 students enrolled in class 731, approximately what percent of the students were absent? Round your answer to the nearest percent.

Answers

Answer:

62%

Step-by-step explanation:

cross-multiply and do some algebra and boom, you have the answer

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