Sarah has a credit card balance of $9,450 with an APR of 17%. With her current budgeted payment, Sarah will be able to pay off this debt in 36 months. But Sarah’s best friend just invited her to spend two months in Europe with her in 9 months. Wanting to have her credit card balance paid off before she goes to Europe, Sarah decides to take on a second job. What additional monthly income will Sarah need in order to pay off her credit card in 9 months?
a.
$336.92
b.
$467.23
c.
$788.85
d.
$1125.77

Answer:

Step-by-step explanation:

So im gonna be using the substitution method because its easier

We divide the equations into two and solve for y

-6x+y=20

We add 6x to both sides

-6x+y+6x=20+6x

y=6x+20

Now we plug in 6x+20 for y into the other equation

2x+3y=10

2x+3(6x+20)=10 We can simplify now

20x+60=10

20x=-50

take 20 from both sides so its gonna be a fraction

-5/2

We plug in -5/2 for x

y=6(-5/2)+20

y=5

]so therefore x is -5/2 and y is 5

珠ɪᴢᴜᴍɪᴿᴬᴳᴱ

The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given the expression,

2x + 3y = 10 -6x + y = 20

So,

2x + 3y = 20 and  10 - 6x + y = 20

To remove y we need to find y and substitute.

So by substituting,

10 - 6(20 - 3y)/2 + y = 20

y = 7

So,

2x + 21 = 10 - 6x + 7 = 20

Hence "The equality of the expression after removing y by substituting y is 2x + 21 = 10 - 6x + 7 = 20".

For more about the equation,

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The given question is in the Spanish language in English it is ;

{2x + 3y = 10 -6x + y = 20 if it is solved by the equalization method, what is the equality that results if the variable y is cleared from both equations?

Answer:

i don"t know ask your mom

Answer:

[tex](9n + 18) + (8n + 8) \\ = (9n + 8n) + (18 + 8) \\ = 17n + 26[/tex]

Answer:

n = 1

Step-by-step explanation:

Represent the number by n.  Then "seven less than twice a number is -5 becomes 2n - 7 = -5

Next we must solve for n.  Adding 7 to both sides yields 2n = 2, so that

n = 1

Answer:

55°,90°,35°

Step-by-step explanation:

the sum of interior in a triangle is 180° and 55 +90+35=180

-4

Step-by-step explanation:

(n + 5)2 for n = -7

= (-7 + 5)2

= (-2)2

= -4

Another way :

(n + 5)2

= 2n + 10

= 2(-7) + 10

= -14 + 10

= -4

The currency called the dollar can be divided or reduced into smaller forms also known as pennies, quarters, nickels and dimes.

The number of pennies is 5, the number of dimes is 5, the number of quarters is 30.

It is important to note that

a penny = $0.01

a dime = $0.10

a quarter = $0.25

Let's represent the number of

pennies = p

dimes = d

quarters = q

The number of pennies is equal to the  number of dimes, hence:

p = q, so we can represent the number of pennies and dimes as y

The box currently  contains 40 coins

So: 40 = y + y + q

q = 40 - 2y...........Equation 1

The total value of the coins is $8.05

So: 0.01y + 0.1y + 0.25q = 8.05 ........... Equation 2

We substitute 40 - 2y for q in Equation 2

0.01y + 0.1y + 0.25(40 - 2y) = 8.05

0.01y + 0.1y + 10 - 0.5y = 8.05

Collect like terms

0.01y + 0.1y - 0.5y = 8.05 - 10

-0.39y = -1.95

Divide both sides by -0.39

-0.39y/-0.39 = -1.95/0.39

y = 5

Since y represents the number of pennies and dimes,  the number of pennies is 5 and the number of quarters is 5.

To solve for the number quarters, we would use equation 1

q = 40 - 2y...........Equation 1

q = 40 - 2 x 5

q = 40 - 10

q = 30

The number of quarters is 30.

Therefore, we have 5 pennies, 5 dimes, and 30 quarters.

To learn more, visit the link below:

https://brainly.com/question/17573861

y = -5

or

y = -8

Answer above!

Answer:

c because there's no answer to the other equation and I already use math for it and it's the answer

The area of a shape is the amount of space it can occupy.

The value of r is 13

From the question (see attachment), we have:

[tex]\mathbf{A =176}[/tex] --- area of the shaded region

[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region

The area of the complete circle would be:

[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]

The area of the small circle is:

[tex]\mathbf{A_2 =\pi r^2}[/tex]

So, the area of the shaded region is:

[tex]\mathbf{A = A_1 - A_2}[/tex]

Substitute known values

[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]

Substitute 2 for w

[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]

Expand

[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]

Open brackets

[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]

Cancel out line terms

[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]

Divide through by 4

[tex]\mathbf{44 =\pi r + \pi }[/tex]

Factor out pi

[tex]\mathbf{44 =\pi(r+ 1) }[/tex]

Divide through by pi

[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]

Substitute 22/7 for pi

[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]

Using a calculator, we have

[tex]\mathbf{r + 1= 14}[/tex]

Solve for r

[tex]\mathbf{r= 14 -1}[/tex]

[tex]\mathbf{r= 13}[/tex]

Hence, the value of r is 13

Read more about areas of circles at:

https://brainly.com/question/23328170

Answer:

The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

Answer:

5/2.5 is 2. Airó makes 2 batches in an hour.

Step-by-step explanation:

i think..

Answer:

46.5

Step-by-step explanation:

9×6=54

54-7.5=46.5

Answer:

8.50x plus 13y equals 160

Answer:

18p + 14

Step-by-step explanation:

6

(

3

+

2

)

+

2

{\color{#c92786}{6(3p+2)}}+2

6(3p+2)+2

1

8

+

1

2

+

2

Answer:

1:6

Step-by-step explanation:

A part-to-whole ratio of 1:6 means that there is 1 of something and the total is 6. It also means that there are 5 of something else. To convert a Part-to-Whole ratio such as 1:6, you replace the colon with a fraction bar to get this answer:

1:6 → 1/6

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A converse to a statement is switching the IF part with the THEN part.

Since the statement says  IF point B bisects the line, THEN B is the midpoint.

The converse would then say

IF B is the midpoint, THEN point B bisects the line.

Answer:3% went on Friday than on Saturday

Step-by-step explanation:

Answer:

to create this figure, connect the three sets of opiate points of the hexagon. Construction angle bisectors for each new angle, creating six new intersections with the circle, for a total of 12 points. Connect the points to make a regular 12-sided polygon.

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

I used a calculator ! :)

Answer:

Step-by-step explanation:

2x+20=12x

We can subtract 2x from both sides:

2x+20-2x=12x-2x

20=10x

20/10=x

x=2

[tex]2 - \sqrt{1} \\ = 2 - 1 \\ = 1[/tex]

Answer:

Maybe 16

Step-by-step explanation:

The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].

If [tex]y = 2\cdot x + 3[/tex] is a line tangent to the parabola [tex]y = c\cdot x^{2}[/tex], then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

[tex]2\cdot c \cdot x = 2[/tex] (1)

Then, we have the following system of equations:

[tex]y = 2\cdot x + 3[/tex] (1)

[tex]y = c\cdot x^{2}[/tex] (2)

[tex]c\cdot x = 1[/tex] (3)

Whose solution is shown below:

By (3):

[tex]c =\frac{1}{x}[/tex]

(3) in (2):

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

(4) in (1):

[tex]y = -3[/tex]

[tex]x = -3[/tex]

[tex]c = -\frac{1}{3}[/tex]

The value of [tex]c[/tex] such that the line [tex]y = 2\cdot x + 3[/tex] is tangent to the parabola [tex]y = c\cdot x^{2}[/tex] is [tex]-\frac{1}{3}[/tex].

We kindly invite to check this question on tangent lines: https://brainly.com/question/13424370

Answer:

[tex]y = \frac{10x - 1}{45} \\ [/tex]

Step-by-step explanation:

[tex] \frac{10x - 1}{3y} = 15 \\ 10x - 1 = 15 \times 3y \\ 10x - 1 = 45y \\ \frac{10x - 1}{45} = y \\ [/tex]

Answer:

Step-by-step explanation:

Example: (1 2/3) (2 3/5)

Turn to improper fractions

1 2/3= 5/3   2 3/5= 13/5

5/3 x 13/5=?

5x13= 65

3x5= 15

Simplify/divide: 65/15 = 4 1/3

Another example. (2 5/6)(3)

Improper fraction:  2 5/6= 17/6

Turn Whole number to fraction: 3= 3/1

17/6 x 3/1

17x3= 51

6x1= 6

51/6

Simplify/divide: 8 1/2

Hello there!

This triangle is equilateral. Therefore, all the sides are equal.

We are given one of them. It is 12 units.

Therefore, all the other sides are 12 units long.

So a=12

Hope this helps you! :)

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Answer: Rs. 69

Step-by-step explanation:

Let the amount that the adults have to pay be Rs. “x” and the amount that the senior citizens have to pay be Rs. “y”.

Step 1:

According to the question, we get

Equation 1:

6x + 4y = 228  

Equation 2:

13x + 7y = 459  

Step 2:

Then, by multiplying equation 1 by 7 & equation 2 by 4, we get

7 * [6x + 4y = 228]

⇒ 42x + 28y = 1596 …. (iii)  

And,

4 * [13x + 7y = 459]

⇒ 52x + 28y = 1836 …. (iv)

Step 3:

Now, Subtracting eq. (iii) from eq. (iv), we get

52x + 28y = 1836

42x + 28y = 1596

(-)    (-)         (-)

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

10 x = 240

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

⇒ x = 240/10 = 24

Substituting the value of x in Eq. (1)

(6*24) + 4y = 228  

⇒ y = [228 - 144]/4 = 21

Step 4:

Thus,  

The total amount that 2 adults and a senior citizen have to pay to visit the exhibition is,

= 2x + y

= (2*24) + 21 ….. [substituting x= 24 & y = 21]

= Rs. 69

Step-by-step explanation:

Hope this helps

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