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

Ben needs to buy an equal number of sunglasses and beach balls to place in gift bags. Each pair of sunglasses costs $4 and each beach ball costs $2.50. If he has $45 to spend on the sunglasses and beach balls, then the inequality 4x + 2.5x greater than or equal to 45 can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of sunglasses and beach balls?

Answers

$0.09 will he have left after buying the greatest number of sunglasses and beach balls.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Model Inequality:  4x + 2.5x ≥  45.

Now, solving for inequality

4x + 2.5x ≥  45.

(4 + 2.5)x ≥ 45

6.5x ≥ 45

x ≥ 45/ 6.5

x≥ 6.92

x≥ 7 (approx)

So, the max price for sunglasses and beach balls = 4(6.92)+ 2.5(6.92)

                                                                                   = $44.91

Thus, the left money is = 45- 44.91 = $ 0.09

Learn more about inequality here:

https://brainly.com/question/30231190

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which following equal to forty and two hundred seventy four thousandsths?

A. 40.274
B.40.074
C.40.274
D.40.0274​

Answers

The answer is C.40.274

Answer:

The answer to this question is C. 40.274.

Which of the following sets are disjoint?

a) Men and uncles

b) Aunts and uncles

c) Women and Aunts

d) They are all disjoint ​

Answers

Answer: b) Aunts and uncles

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

Explanation:

The term "disjoint" is another way of saying "mutually exclusive". If two sets are disjoint, then they have nothing in common. Put another way, if two sets are disjoint, then it's not possible to be part of both sets at the same time.

In this case, it is not possible to be both an aunt and an uncle simultaneously for any one person. So this is why choice B is the answer.

Solve the inequality​

Answers

i think it would be x< 3?

which of the following is an irrational number?​

Answers

Answer:

B

Step-by-step explanation:

The other choices are terminal numbers which makes them rational numbers but square root of 19 is an irrational number because square root of 19 is 4.3588989.... This makes it an irrational number since it's just random numbers after the decimal point.

B-because the square root of 19,the numbers after the decimal keep going .

y = 3x - 2. What is the slope?

Answers

Answer:the slope is 3

Source: trust me bro

What is the correct proportion to find 22% of 86?

Answers

Answer:

its either 18.92

or 25.58%

but I believe it is 18.92 I may be wrong though

heeeeeeeeeeeeellllllllllllpppppppppppppp please and thank you hehe :]

Answers

Answer:

Mean is 8 MAD is 4.29

Step-by-step explanation:

The answer is 4.98 hope this helps

Which phrase best completes the list?

Types of Expenses - Taxes

Apply to money earned and spent

Usually take up about 14 percent of a person's income

?

A. Are paid to the government
B. Allow a person to buy a home
C. Pay for vital services like water
D. Do not need to be paid every year

Answers

Answer:a

Step-by-step explanation:

The solution is, O A. Are paid to the government, the phrase best completes the list. Types of Expenses.

Here, we have,

Explanation:

Utilities are expenses on essential and vital services common to households and businesses. They include water and sewage bills, electricity bills, and garbage disposal expenses. A firm offering such services generate utility bills. The cost covers a regular period, say mostly monthly.

Heating and internet or data costs are also being considered as utility expenses. They are common and essential for domestic and business use.

To learn more on Types of Expenses click:

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Which equation could have been used to create this graph?

Answers

Answer: y = 4x
Explanation: Slope means rise/run. You can use the points (0,0) and (1,4) to find the answer to the question. Rise basically is how much the distance is between the two points going vertical (up). And when you do that, you should get 4 units. Now, you're at (0,4) since you moved the point up 4 and you want to find how many spaces away is (0,4) from (1,4) horizontally, which is 1 unit. The rise/run is 4/1, which is the slope.

Arestaurant bill is $25, and a 20 percent tip should be given to the waiter. Which expression can be used to find the total
amount that will be paid?
O $25x 0 02
O $25x020
O $25x 1.20
O $25x 2 00
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

$25×0 02

Step-by-step explanation:

i have done this before

The best expression would be:
Cost= 25 +0.2*25

What is the answer please help

Answers

Answer:

is the number 4

so 13/16 3/16

Step-by-step explanation:

Which does not represent a way to show 5+5+5+5+5 with multiplication?

Answers

Answer:

probably square root of 5

solve x 3+3(x+2)=-24​

Answers

Answer: x =5

Step-by-step explanation:

[tex]x + 3 + 3(x + 2) = - 24[/tex]

[tex]x + 3 + 3x + 6 = - 24[/tex]

[tex]4x + 9 = - 24[/tex]

[tex]4x = - 24 - 9[/tex]

[tex]4x = - 33[/tex]

[tex]x = \frac{ - 33}{4} [/tex]

The discrimination of a quadratic function is 13. Which is a true statement about the roots of the function?​

Answers

Answer:

If the discrimination of a quadratic function is 13, then the function will have two distinct real roots.

Step-by-step explanation:

Given the quadratic function

[tex]y=ax^2+bx+c[/tex]

where D = b²-4ac is called the discrimination of a quadratic function.

The discriminant D=b²-4ac indicates the type of roots the equation may have.

If D > 0, then the equation has two distinct real roots.

Given that the discrimination of a quadratic function is 13.

i.e. D = 13

As D > 0, so the function will have two distinct real roots.

Thus, we conclude that if the discrimination of a quadratic function is 13, then the function will have two distinct real roots.

please answer fast!!!

Answers

Answer:

VP = 21

ZP = 7

Step-by-step explanation:

Given:

VZ = 14

Required:

VP and ZP

Solution:

Since Z is the centroid, therefore:

⅔ of VP = VZ (centroid theorem)

Thus,

⅔(VP) = 14 (substitution)

Multiply both sides by 3

2(VP) = 14*3

2(VP) = 42

Divide both sides by 2

VP = 42/2

VP = 21

✅VZ + ZP = VP

14 + ZP = 21

ZP = 21 - 14 (subtraction property of equality)

ZP = 7

Write 14/9
as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answers

Answer:

1.5 repeating

Step-by-step explanation:

(-11,-3),(-6,7) find the slope of the line using slope formula? NEED

Answers

Answer:

Your slope will be 2

Step-by-step explanation:

[tex]\frac{7-(-3)}{-6-(-11)}[/tex]= [tex]\frac{10}{5}[/tex]= 2

What is 1.452 rounded to the nearest hundredth

Answers

Answer:

1.450

Step-by-step explanation:

what grade ar4e you in I'm guessing 4th or 5th

Nadine saw that there was 4/5 of a pie left after their family picnic. Each slice of pie was 1/15 of the total pie. How many slices of pie are left?

Answers

Given:

4/5 of a pie left after their family picnic.

Each slice of pie was 1/15 of the total pie.

To find:

The number of remaining slices of pie.

Solution:

Let x be the number of remaining slices of pie.

Part of total pie in one slice = [tex]\dfrac{1}{15}[/tex]

Remaining part of total pie in x slices = [tex]\dfrac{1}{15}x[/tex]

According to the question, 4/5 of a pie left after their family picnic.

[tex]\dfrac{1}{15}x=\dfrac{4}{5}[/tex]

Using cross multiplication, we get

[tex]5\times x=15\times 4[/tex]

[tex]5x=60[/tex]

Divide both sides by 5.

[tex]x=12[/tex]

Therefore, the remaining number of slices of pie is 12.

HELP OR NO PRESENTS FOR YOU

Answers

Answer:

g= (9,8)  f= (-5,1)

Step-by-step explanation:

you're welcome =)

A function is represented by the graph.

Complete the statement by selecting from the drop-down menu.

The y-intercept of the function​ ​y=3x+2​ ​​is
Choose... (less than, Greater than, Equal to)
the y-intercept of the function represented in the graph.

Answers

Answer:

it is equal to

Step-by-step explanation:

took test

Answer:

equal to

Step-by-step explanation:

Suppose y varies directly with x. When x is 2, y is 20. What is x when y is 50

Answers

Answer:

5

Step-by-step explanation:

x = 2 >>> (Multiply by 10) >>> y = 20

x = ? >>> (Multiply by 10) >>> y = 50

50 ÷ 10 = 5

x = 5 when y is 50

The quotient of a number and -2/3 is -9/10. What is the number?

Answers

Answer:

It's 0.6

Step-by-step explanation:

The cost of a magazine is $x and the cost of a newspaper is $(x -3). The total cost of 6 magazines and 9 newspapers is $51. Write down and solve an equation in x to find the cost of a magazine,

Answers

See attachment for math work and set up. Use the substitution method to find x.

In the figure, BE||CD, B is the midpoint of AC, and E is the midpoint of AD

Answers

Answer:

A. 8

Step-by-step explanation:

BE = ½(CD) (midsegment theorem)

BE = 2x - 10

CD = 12

Plug in the values

2x - 10 = ½(12)

2x - 10 = 6

Add 10 to both sides

2x - 10 + 10 = 6 + 10 (addition property of equality)

2x = 16 (addition property of equality)

Divide both sides by 2

2x/2 = 16/2

x = 8 (division property of equality)

A model train is in a 3 inches to 80 inches scale. If the model door is 4 inches how tall is the real train door?

Answers

Answer:

80

Step-by-step explanation:

What is 5 superscript 6 written in expanded form?

Answers

Answer: 5 times 5 times 5 times 5 times 5 times 5

Jacob is 4 feet 5 inches tall. How tall is Jacob in inches?
O 48 inches
09 inches
020 inches
0 53 inches

Answers

Answer:

He is 53 inches in height

Step-by-step explanation:

4 × 12 inches = 48 + 5 = 53

Can you help me with this question please

Answers

i hope i helped you :)
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