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

Answers

Answer 1

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the information given,

We can find the current monthly payment Sarah is making using the formula for the present value of an annuity:

[tex]PMT = PV \times r \times (1 + r)^n / [(1 + r)^{n - 1}][/tex]

where PV is the present value (balance), r is the monthly interest rate (APR/12), and n is the number of months (36).

PMT.

[tex]= 9450 \times 0.17/12 \times (1 + 0.17/12)^{36} / [(1 + 0.17/12)^{36} - 1][/tex]

= $338.48

To pay off the balance in 9 months, Sarah needs to increase her monthly payment.

Let's call this additional payment x.

Then, we have:

[tex]9450 \times 1.17^{9/12} = (338.48 + x) \times ((1 + 0.17/12)^{9 - 1}) / (0.17/12)\\[/tex]

Solving for x, we get:

x = $1125.77

Therefore,

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7


Related Questions

What is the median for the data set below?

Answers

? I need more explaining

PLEASE HURRY: On Monday, Florencia's hair was h centimeters long. She got a haircut on Tuesday, so her hair was only 75% of
the length it was on Monday.
Which of the following expressions could represent how many centimeters long Florencia's hair was after the
haircut?
Chose 2 answers:

h(1 - 0.75)

(1 - 75/100)h

3/4h

0.75h

1/4h

Answers

Answer:

It seems that you are trying to find the length of hair of Florencia on Tuesday.

Given that length of the hair of Florencia on Monday = h centimeters

On Tuesday, she got hair cut.

So new length of the hair of Florencia on Tuesday = 75% of Monday value

= 75% of (h)

= 0.75* (h)

= 0.75h

Hence final answer is the length of the hair of Florencia on Tuesday is ( 0.75h ) centimeters.

Answer:

3/4h and 0.75h

Step-by-step explanation:

khan

What is 6/8+ 4/2-3/6?

Answers

Answer:

the answer is 2.25

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

Two angles are supplementary. One angle is 25°. What is the measure of the other angle?

Answers

Answer:

The other angle is 155°.

Step-by-step explanation:

Supplementary angles are two angles that have a sum of 180°.

I found my answer my subtracting 25 from 180 (180-25) and my difference was 155.

And, 155 + 25 = 180°.

Therefore, the other angle is 155°.

The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.

(2x2−8x+16)+(2y2−12y+36)=−16+36
(
2
x
2

8
x
+
16
)
+
(
2
y
2

12
y
+
36
)
=

16
+
36

(x−4)2+(y−9)2=5
(
x

4
)
2
+
(
y

9
)
2
=
5

(x2−4x+4)+(y2−6y+9)=−8+13
(
x
2

4
x
+
4
)
+
(
y
2

6
y
+
9
)
=

8
+
13

x2+y2−4x−6y=−16
x
2
+
y
2

4
x

6
y
=

16

(x−2)2+(y−3)2=5

Answers

what do i choose? because all i see is a lot of numbers and words lol

What is the the value of x. Pleaseeeee help I’ll mark you brainlist

Answers

Answer:

11.75

Step-by-step explanation:

All angles of a right triangle equal 180°.

So you have to do a substitution method to find the value of x.

Which leaves us with: angle 'A' = 5 × 11.75, angle 'B' = ((3 × 11.75) -4), and angle 'C' = 90. If you add all of them together it is equivalent to 180°.

∴ x = 11.75

what is 4(11h +3g)?????

Answers

Answer:

[tex]12g+44h[/tex]

Step-by-step explanation:

Step 1: Rearrange terms

[tex]4(11h+3g)\to4(3g+11h)[/tex]

Step 2: Distribute

[tex]4(3g+11h)\to12g+44h[/tex]

Answer:

44h+12g

Step-by-step explanation:

Okay, so, this a standard algebraic expanding problem, so:

We take our 4(11h + 3g)

because we have parenthesis, we have to distribute the 4:

4 x 11h + 4 x 3g = 44h + 12g

So, 4(11h + 3g) expanded is 44h + 12g

hope this helps:)

3 Simplity the following rotic's = 4:16​

Answers

Answer:

1:4

Step-by-step explanation:

simply divided by 4 :)

Help help help help
Number 1 and 2 in the next q

Answers

Answer:

either 81 or 162

Step-by-step explanation:

I got 81 by 27×12

162=27×12×2

David's earnings recently changed from $5500 to $6325. By what percent did the earnings change?

Answers

Answer: In percentage, the answer is 115%

Step-by-step explanation: if you want to find the rise, just simply divide 5500 from 6325, or 6325/5500. You will get 1.15 but converted to percentage, that is 115%

write the following quotient in scientific notation:

Answers

Answer:

0.7

Step-by-step explanation:

Help me please 10 points no links or I report

Answers

Answer:

B. 5

Hope it helps!

Step-by-step explanation:

It lists green 5 times.

Which statements about opposites are true?

Select each correct answer.


The opposite of zero is zero.

A number and its opposite are located the same distance from zero on a number line.

The product of a number and its opposite is always 1.

The opposite of a negative number is always a positive number.

Answers

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The "opposite" of a number is that number with its sign changed.

__

The opposite of zero is zero.A number and its opposite are located the same distance from zero on a number line.The opposite of a negative number is always a positive number.

Answer:

The "opposite" of a number is that number with its sign changed.

What is the value of x?

Answers

X=6 ☺️ hope this helps

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

The answer is Door you can choose C because is likely to be the answer

What is the solution to the system of equations graphed below???

Answers

Answer:

The solution is (-2,-2)

Step-by-step explanation:

This is the point where the two graphs intersect.

50% original price with discount 15% what price now

Answers

Answer:

$42.50

Step-by-step explanation:

If you buy an item at $50 with 15% discount, you will pay

$50 - $7.50 = $42.50

Winston earns $140.00 by selling 56 hotdogs at a concession stand at school Using the same rate for the cost of one hotdog, how many more hotdogs would Winston need to sell to earn a total of $175.00?

Answers

Answer:

175/2.5=70

Step-by-step explanation:

Mr. Dieter wants to tile the family room in his basement. He has selected a pattern of square tiles that measure 9 inches by 9 inches each. The shape of the floor to be tiled is shown below. a. What is the area of the family room in square feet? b. How many of the 9 inch by 9 inch tiles will it take to cover the floor? (NOTE: You will need to convert the area in Part a from square feet to square inches.) c. If the tile is sold only in boxes of 12 tiles per box, how many boxes will Mr. Dieter have to buy to tile the family room?

Answers

Answer:

146 ft²

21.6 tiles

1.8 boxes

Step-by-step explanation:

Please find attached an image of the family room used in answering this question

the family room has the following shapes : 2 triangles and one rectangle

the area of the family room can be determined by calculating the area of each of the shape and adding the 3 areas together

area of a rectangle = length x breadth

16 x 7 = 112 ft²

Area of a triangle = 1/2 x base x height

Area of the smaller triangle = (1/2) x 4 x 3 = 6 ft²

Area of the bigger triangle = (1/2) x 8 x 7 = 28 ft²

Sum of the areas = 112 + 6 + 28 = 146 ft²

b.

1. First convert the area of the room to inches

1 ft = 12 in

146 x 12 = 1752 in²

2. the next step is to determine the area of the tile

area of a square = length²

9² = 81 in²

3. Divide the area of the room by the area of the tile

1752 / 81 = 21.6 tiles

c. total number of boxes that would be bought = 21.6 /12 = 1.8 boxes

A plumbing service costs $32.50 per hour of work. Let x represent the amount of time that a job takes and let y represent the total cost.
- Is it continuous or discrete?

Answers

Answer:

This would be discrete

Hope this helps

Can some one help me with all of these if not can you help me with 3-4

Answers

Volume = lwh
1620 = 13x8xw
1520/104 = w
w=15.57 cm

How many solutions does the system have? 2x+3y=-6 3x-4y=-12. A) exactly one solution b) no solution c) infinity many solutions

Answers

Answer:

a.

Step-by-step explanation:

by elimanation,cimparison or substitution you wull get the value of x=-60/17 and y=6/17

How to Divide $120in the ratio 3:5

Answers

120 ÷ ( 3 + 5 ) = 120 ÷ 8 = 15

15 × 3 = 45

15 × 5 = 75

_________________________________

Answer:

15:75

Step-by-step explanation:

120 = 3x plus 5x

120 = 8x

120/8 = x

x = 15

3*15 = 45 and 5*15 = 75

Suppose a city with population of 400,000 has been growing at a rate of ​5% per year. If this rate​ continues, find the population of this city in years.

Answers

The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.

Using a t value of 10 years

Answer:

651558

Step-by-step explanation:

Given that:

Initial population, P0= 400,000

Growth rate, r = 5%

Using the relation :

P(t) = P0 * (1 + r)^t

t = number of years = 10

P(10) = 400000 * (1 + 0.05)^10

P(10) = 400000 * (1.05)^10

P(10) = 400000 * 1.628894626777

P(10) = 651557.8507

= 651558 nearest whole number.

Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.

List the 3 things PLEASE ASAP

Answers

Answer:

it can be the altitude

median of ac

and the bisector of b

Step-by-step explanation:

Kieth has landscaping bricks that are 0.75 feet long. Kieth puts 19 bricks end to end along a sidewalk. What is the total length of all thee red bricks he uses. Enter your answer in the box

Answers

Answer: 14.25 ft

Step-by-step explanation:

Assuming all the bricks used are red:

Keith puts 19 bricks end to end along a sidewalk and each one of those bricks is 0.75 ft long.

When put end to end therefore, the total length will be that length multiplied by the number of bricks laid:

Total length = Number of bricks laid * Length of each brick

= 19 * 0.75

= 14.25 ft

what is the value of x??
−3(x+9)=33

Answers

Answer:

x= −20

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(x+9)=33

Step 1: Simplify both sides of the equation.

−3(x+9)=33

(−3)(x)+(−3)(9)=33(Distribute)

−3x+−27=33

−3x−27=33

Step 2: Add 27 to both sides.

−3x−27+27=33+27

−3x=60

Step 3: Divide both sides by -3.

−3x −3 = 60 −3 x=−20

Answer:

x=−20

Hope this helps! :)

Answer:

x=-20

Step-by-step explanation:

−3(x+9)=33

Divide both sides by -3

-3(x+9)/-3=33/-3

simplify;

-3(x+9)/-3

Divide the numbers:3/3=1

=x+9

Simplify 33/-3

=-33/3

Divide the numbers 33/3

=-11

x+9=-11

Subtract 9 from both sides

x+9-9=-11-9

Simplify;

x=-20

Helped by none other than the ONE and ONLY #QUEEN aka #DRIPPQUEENMO!

. Your family ate 6 out of 8 pieces of a pizza. Tell
how to express the amount they ate and the
amount leftover as two fractions. Be sure to
write the fractions in simplest form.​

Answers

Answer:

[tex] \frac{6}{8} \\ \\ \\ \frac{2}{8} [/tex]

amount they ate: 3/4
amount leftover: 1/4

Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if necessary.

Equation: 4x2+8x+7=4

Solution: Answer
and

Answers

Answer:

solution given:

: 4x2+8x+7=4

4x²+8x+7-4=0

4x³+8x+3=0

4x²+6x+2x+3=0

2x(2x+3)+1(2x+3)=0

(2x+3)(2x+1)=0

either

x=-3/2

or

x=-1/2

What is ?
A.20º
B.70º
C.90º
D.180º

Answers

Answer:

i think it is 90

Step-by-step explanation:

remember the line is srait

Other Questions
Which of these actions is NOT an example of a Texan using the freedom of worship?a.visiting a new churchb.writing libel about another Texan in the mediac.expressing religious views in a letter to the newspaperd.attending a protest to support religious views Five examples of how circles and their radii be used in other content areas As she drove down the icy road, Mrs. Campbell slammed on her brakes. Her car did a 360. Explain what happened to Mrs. Campbell's car. Which of the following caused further sectional division over the issue of slavery prior to the Civil War? Top 5 Anime. if i like em i'll mark brainliest If fixed cost of 20 article is 500 and variable cost for each article is 40. Find the total cost function? Also ,find the total cost of 90 articles? A biologist counts the number of rabbits in a population each year and observes a decrease in population. Since the coyote population has exploded, the biologist concludes that the coyote population has had a negative impact on the rabbit population. Which describes the biologists actions?experimentationinferenceobservationinteracting could someone please check my work! no files please and thank you! Please help fast 15 points math homework A b c d ????Please help The current population of Rochester is 211,000 and is decreasing at a rate of 4.1% every ten years. Which function can be used to find the population 30 years from now? PLEASE HELP QUESTION IS IN THE PIC (45 Points) The Outsiders vs. The Greasers- Who is to blame for Bob's death? The Greasers and the Socials are going to trial. You will defend one of the gangs. You must present your case to the judge. Your opinion does not matter. You must find evidence in the reading to make your case for your client. Your client is____________. Remember, hear say is not evidence. You may also present evidence against the group you are not defending 1. Find 6 pieces of evidence from the reading that support your client's innocence. (Write the sentence (s) from the reading and the page number. 2. Create 5 questions you could ask the gang you are not defending, that may incriminate them. In other words, ask them questions they could not easily answer in order to make them look guilty.) Small watch Foist a word today means the same What is pictured below?A. Great Grotto, Boboli Gardensb. St. Peter's BasilicaC. The Templettod. Bramante Grotto A group of students was randomly divided into two subgroups. One subgroup took a test in the morning, and the other took the same test in the afternoon. This table shows the results. Pass Fall Total Morning 28 75 Afternoon 53 22 75 Total 81 69 150 Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon. Draw a conclusion based on your results. Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year The price of a tablet was increased from $180 to $207. By what percentage was the price of the tablet increased?A.33%B.8%C.27%D.15% Franklin gave a presentation without any help from others. He didn't smile, and he looked at the floor during the presentation. What could Franklin have done to improve his presentation?a Added more images to his slides to add engagementb Asked for someone else to do the research for himc Practiced in front of a trusted adult and asked for feedbackd Read the information right from the slides No links!!!A stalactite is a mineral formation that hangs from the ceiling of a cave. A cone shaped stalactite has a height of 48 centimeters and a base circumference of 3.5pi centimeters. What is the volume of the stalactite? Round your answer to the nearest whole number.