Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that cost $1,400 that she plans to put on her credit card. this will be her only purchase this month, and she will be making this purchase on the last day of the month

Part A
If her Finance charge will be $51, write and solve an equation to determine her current balance on her credit card. Show work


Part B
How much in finance charges can she save by making the purchase on the last day of the billing cycle versus the first day of the billing cycle? Explain how you determined your answer

Answers

Answer 1

Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The billing cycle for the month = 28 days

Current beginning balance = x

Annual percentage rate (APR) = 24%

Monthly percentage rate (MPR) = 2% (24% ÷ 12)

Purchase on the last day = $1,400

Total finance charge for the month = $51

Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)

Finance charge for the beginning balance = $50 ($51 - $1)

The current beginning balance, x = $2,500 ($50 ÷ 2%)

Equation for current beginning balance, x = 51 - 1 ÷ 0.02

Total finance charge for the last-day purchase = $28 ($1,400 x 2%)

Savings in finance charge by purchasing on the last day = $27 ($28 - $1)

Hence, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the last day of the billing cycle instead of on the first day.

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Related Questions

6(x+1)=24 solution to equation

Answers

6(x+1)=24
6x+6=24
6x=24-6
6x=18
6x/6=18/6
x=3

5135/1000 = quotient and reminder
485/100 = quotient and reminder

Answers

Answer:

5135 ÷ 1000

= 5 R135

485/100

= 4 R85

Question 3 of 10
If f(x) = 7x-6, which of the following is the inverse of f(x)?
O A. f-1(x) = x76
f−¹(x) = x=7
X-7
6
B.
O C. f-1(x) = x+7
D. f¹(x) = x+6
7
SUBMIT

Answers

Therefore, the solution of the given problem of function comes out to be [tex]f^{-1}[/tex] =  x+ 6 /7.

Describe function.

Mathematics includes the study of numbers, equations and associated structures, forms and the environments in which they occur, quantities and their changes, and spatial relationships. A function is an association between such a set of inputs, each of which has an output. Simply described, a function is an association between the inputs and outputs in which each input results in a single, distinct result. Each operation has a domain and a scope, which are also referred to as codomains.

Here ,

In our case, f(x) = y = 7x-6.

The following procedures must be taken in order to determine the inverse function of the given function:

First, x and y must be switched, thus

x= 7y-6

We must add 6 to both sides in order to solve for y in the following step.

x+6=7y

7 divided by both sides, that is

y = x+ 6 /7

Therefore, the solution of the given problem of function comes out to be

[tex]f^{-1}[/tex] =  x+ 6 /7.

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Can y’all help me with this I don’t understand stand

Answers

is it 10+8=18 is this it hopefully this helps

Answer:

Option C

Step-by-step explanation:

10 + n is the total number of computers Mr. James will sell this week, since he has already sold 10 computers and will sell n more. Because he wants to sell at least 18 computers, the correct symbol is ≥.

Oh please help me with this!!!

Answers

Answer:

x+74=180

x=180-74

x=106

x=4y+22

106-22=4y

84/4=y

21=y

y=21

Step-by-step explanation:

Answer:

x=106

y=21

................

can someone tell me how much is 0,5-⁶?​

Answers

Answer:

add this and (5 × 5 × 5) × (5 × 5 × 5 × 5 × 5

Step-by-step explanation:

If 3x+14=26, which of these equations is true?

Answers

Answer:

x=4

Step-by-step explanation:

3x+14=26

3x=26-14

3x=12

x=12/3

x=4

Answer: x = 4

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

3x+14=26:

Step 1: Subtract 14 from both sides.

3x+14−14=26−14

3x=12

Step 2: Divide both sides by 3.

3x/3 = 12/3

x=4

help with angles, also explain how to do this so i can go on further without help

Answers

Answer:

x = 103°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, so

x = 50° + 53° = 103°

Find the length of the third side. If necessary round to the nearest tenth

Answers

The side lengths of a right-angle triangle can be calculated using the Pythagorean Theorem. Which states that the square of the hypotenuse is equal to the sum of squares of the other sides in the triangle.

[tex]a^2+b^2=c^2[/tex]

the hypotenuse is always the longest side of a triangle and is always the opposite side length to the right angle

rearranging the equation can help calculate the third side:

[tex]c^2-a^2=b^2[/tex]

[tex](5)^2-(4)^2=b^2[/tex]

[tex]25-16=b^2[/tex]

[tex]9=b^2[/tex]

[tex]\sqrt{9}=\sqrt{b^2}[/tex]

[tex]{ {{b_1=+3} \atop {b_2=-3}} \right.[/tex]  

note: a length can never be negative so never take into account a negative answer

b = 3

Solve the following system of equations. Enter the y-coordinate of the

solution. Round your answer to the nearest tenth.

5x+2y=21

- 21+ 6v=-34

Answers

To find the y-coordinate of the solution, we can substitute in this value for y and round it to the nearest tenth: y = -2.2

What exactly does a coordinate system mean?

system of coordinates, Arrangement of reference lines or curves for locating points in space The Cartesian (named for René Descartes) system is the most popular one in two dimensions.

To solve for y in the equation 5x + 2y = 21, we can start by isolating y on one side of the equation. To do this, we can subtract 5x from both sides of the equation:

5x + 2y = 21

5x - 5x + 2y = 21 - 5x

2y = 21 - 5x

To solve for y, we can then divide both sides of the equation by 2:

2y = 21 - 5x

y = (21 - 5x) / 2

To solve for y in the equation -21 + 6y = -34, we can start by isolating y on one side of the equation. To do this, we can add 21 to both sides of the equation:

-21 + 6y = -34

-21 + 21 + 6y = -34 + 21

6y = -13

To solve for y, we can then divide both sides of the equation by 6:

6y = -13

y = -13/6

y = -2.1666666666666665

To find the y-coordinate of the solution, we can substitute in this value for y and round it to the nearest tenth:

y = -2.2

So, the y-coordinate of the solution is -2.2.

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PLEASE HELP ME WHAT AM I SUPPOSE TO DO?!

Answers

Answer:

Step-by-step explanation:

Angle 2= 50

angle 1= 180-50= 130 degrees (linear pair (sum 180))

angle 3= 130 degrees (vertically oposite angles are equal)

angle 6= 130 degrees (alternate interior angles)

angle 5= 180-130= 50 degrees (linear pair)

i hope this helps :)

Please help??!!!!!!!!!!!!!!!!

Answers

Answer: 2 (y=x/3 -2)

Explanation: I’m pretty sure that the right answer

If there are 10 fish in a tank 5 escaped 2 died.
How many are left?
Pls help

Answers

Answer: 8

Step-by-step explanation:

Its a fish tank no fish can escape. So 10-2 because 2 fish died and that is 8.

So you have 8 fish.

Hope this helps

Okay so if there’s 10 - 5 - 2 = ?

10 - 5 = 5 since it’s subtracting.

Then you subtract 2 more such as

5 - 2 = 3

A wire 30 inches long is bent into a triangle with sides measuring 6 inches, 11 inches, and 13 inches Find the measure of the largest angle in the triangle. ​

Answers

The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.

What is trigonometry?

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes.

The cosecant, cosine, cotangent, secant, sine, and tangent are the trigonometric functions (sometimes known as the circle functions) that make up trigonometry.

These functions' inverses are designated by the notations csc(-1)x, cos(-1)x, cot(-1)x, sec(-1)x, sin(-1)x, and tan(-1)x.

Keep in mind that f(-1) here refers to the inverse function, not f to the -1 power.

According to our question-

the biggest angle on a wire that is 30 inches long and bent into a triangle with sides that measure 6 inches, 11 inches, and 13 inches.

cosine rule is given as

cosa= a^2 + b^2 + c^2/2ab

cosa = 36 + 121 - 169/132

a = 95.22°

Hence, The triangle's internal angles add up to 180 degrees. The biggest angle is then 95.22° in size.

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You decide you want to go snowboarding for the day and you have to figure out your budget. Tickets are $75.00 per day and there is a 5% convenience charge when you order your ticket. You also have to pay for a bus ticket that is $12 for the day. You mom gives you a 15% off coupon that applies to the lift ticket only (not the bus). What is the total cost for your fun day out? (round to the nearest hundredth)

Answers

The total cost for your fun day out is $23.82.

What is percentage?

In mathematics →

a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".

Given is that you decided to go snowboarding for the day and you have to figure out your budget. Tickets are $75.00 per day and there is a 5% convenience charge when you order your ticket. You also have to pay for a bus ticket that is $12 for the day. You mom gives you a 15% off coupon that applies to the lift ticket only.

Assume that the total cost for your fun day out is ${x}. Then, we can write the equation as -

{x} = 15% of (75 + {5% of 75}) + 12

{x} = 15% of (75 + {5/100 x 75}) + 12

{x} = 15% of (75 + {1/20 x 75}) + 12

{x} = (15/100) x (75 + 75/20) + 12

{x} = (3/20 x 78.75) + 12

{x} = 11.82 + 12

{x} = 23.82

Therefore, the total cost for your fun day out is $23.82.

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What kind of transformation converts the graph of f(x)= – 2x–10 into the graph of g(x)= – 2x+10?

Answers

Answer: Shift right 20 units

helppppppppppppppppppppp​

Answers

Answer:

d=112

f=112

a=68

e=68

c=112

Explanation:

Each line is equal to 180 degrees so 180-68 is 112 f and a should be the same degree because of the way the line is slanted. E and c will be the inverse of d and 68.

Sydney says that if all of the side lengths of a cube are doubled, the volume of the cube will also double. Is she correct? Explain.​

Answers

Answer:

no, it's not correct

Step-by-step explanation:

volume or the cube = L³

so if we doubled the side lengths

They would be 2L

then the volume= (2L)³ = 8L³

so that would make the volume 8 times the first value not double

What value is X in math?

Answers

Answer:

Any value

Step-by-step explanation:

X is a variable, meaning it can be any number, and they are just using our variable, x, as a little mask to hide the exact value. In math, we will usually need to find x by solving different equations.

Examples:

x + 4 = 7

Know, x in this case is 3 because we just know 3 + 4 = 7, but x can be any value, and sometimes it gets more complicated than this. For example, we can have something like:

2x + 8 = 16

In this case, we need to have multiple steps to solve for x. First, we minus 8 from both sides:

2x = 8

Then we divide by 2:

x = 4

So, we know x = 4. In conclusion, x is a variable that is hiding a value, and you will need to either solve or substitute x. Meaning x can be any value.

Hope this Helped!

How do you simplify 3 ratios?

Answers

To simplify 3 ratios, divide each part of the ratio with the same amount and keep diving numbers in the ratio until they are as small as possible but they remain as whole numbers.

To simplify or reduce a fraction, first, we need to find a common factor between the ratio numbers. When we have multiple ratio numbers, we must find a common factor between all of them.

The greatest factor between all the ratio numbers (greatest common factor) will be utilised to divide or reduce the ratios down to their lowest form.

For example reduce the ratio 350: 250: 125

The first step is to determine a common factor between all of the ratio numbers. In this example, we can see that all of the numbers end in either 5 or 0. This means that each number should have 5 as a factor.

If numbers are large and we are not sure of the greatest common factor between them all, we can reduce by a common factor and then reduce again.

Now divide each number by 5 and see what we get.

350/5: 225/5: 125/5

70: 45: 25

When we divide each one by 5 again, we can see that each number again ends in 5 or 0 which means that 5 is still a factor of each number.

Now divide each number by 5 again and get a final ratio of 14: 9: 5.

70/5: 45/5: 25/5

14: 9: 5

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4) If 1 inch represents 10 miles on a map, then how many inches will
represent 120 miles?

Answers

Answer:

12 inches

Step-by-step explanation:

You can use proportions to solve this:

1/10 = x/120

Cross multiply:

12 = x

Answer:

12 inches.

Step-by-step explanation:

The ratio given is that 1 inch = 10 miles.

The amount given to you is 120 miles. To find the amount of inches, simply divide the total amount of miles (120) with the amount of miles needed to be ratio into inches (10):

120/10 = 12

12 inches is your answer.

~

Solve for x!!!!!!!!! Spam will be taken down

Answers

Answer:

10       10 [tex]\sqrt{2}[/tex]

4        8

16       16[tex]\sqrt{3}[/tex]

[tex]\sqrt{18}[/tex]      [tex]\sqrt{18}[/tex]

11          22

384      192

Step-by-step explanation:

mark me brainliest pls

they are in order

Which angles are alternate exterior angles?


1. EFH and BCF

2. EFH and DCA

3. EFH and EFC

4. EFH and BCA

Answers

∠EFH and ∠ACD are angles of alternate exterior angles in the figure as  alternate external angles are those that are generated on the outer side of the parallel lines .

what are angles ?

When two straight lines connect at a 90° angle or are perpendicular to one another, an angle is formed. The symbol denotes a right angle. In the picture up above, many right angle formations are visible. Shapes include the correct angles. Triangles classified as right triangles have one of their internal angles at a 90 degree right angle. The three interior angles of a triangle add up to 180 degrees, so the three interior angles of a right triangle must always add up to 90 degrees because one of them is always 90 degrees.

given

The pair of angles known as alternate external angles are those that are generated on the outer side of the parallel lines but on the transverse side.

sum up to 180 degrees, you can calculate the size of the inner angle adjacent to it if you know the size of the outer angle (since together they are the angle on a straight line). The internal angles at the other two vertices are added to create the outer angle of a triangle.

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Determine the equation of the circle graphed below

Answers

(x+5) ^2 + (y-1)^2 = 2^2 btw the ^2 makes it squared


This graph represents the average number of animals that are seen in a veterinarian's office during the day.
У
45
40
35
30
5 25
20
2 15
10
456789
Hours
A) Circle the correct statement to make the sentence true:
The point (1,10) represents (1 animal is seen in 10 hours OR 10 animals are seen in 1
hour)
B) Describe what the point (0,0) represents in this situation.
C) Describe what the point (6, 60) would represent.

Answers

Answer:

A. 10 animals seen in 1 hour

C. 60 animals seen in 6 hours

i dont know B sorry

Step-by-step explanation:

2) A box holds 6 smaller
boxes with 160 paper clips in
each box. If 1.5 of the boxes
have been used, how many
paper clips are left?

Answers

960 total minus 240 used equals 720 left

The number of paper clips that are left will be 480 clips.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A box holds 6 smaller boxes with 160 paper clips in each box. If 1.5 of the boxes have been used. Then the number of paper clips that are left is given as,

⇒ (2 - 1.5) x 6 x 160

⇒ 0.50 x 960

⇒ 480

The number of paper clips that are left will be 480 clips.

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This is due today pls help me !! :c

Answers

Answer:

x = 84

Step-by-step explanation:

Answer:

84 degrees

Step-by-step explanation:

when finding the angle of any square, as long as all for sides equal to 360 degrees, your doing it right! hope I helped

The original selling price of a share stock was d dollars. The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d). Which descriptions could explain what happened to the price of the share stock?

Answers

The price of a stock share has decreased by 15% and suddenly increased by 5%.

What is a percentage?

The percentage is a fraction of a number represented as a number out of a hundred. The % symbol is used to denote percentages. The percentage signifies the frequency.

The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d).

When a % decrease occurs, the number is deducted from 100, and when a percentage increase occurs, the number is added to 100.

100 - 15% = 85% = 0.85

100 + 5% = 105% = 1.05

original selling price = d

selling price at a later date = 1.05(0.85d)

0.85d means that the original price was discounted by 15%

1.05 means that the price increased by 5%

Thus, the price of a stock share has decreased by 15% and suddenly increased by 5%.

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A model airplane is built on the scale of 0.5 inch for every 11 feet. The length of the
wing on a 747 airplane is 211 feet. What is the length of the wing on the model
airplane? (Round your answer to the nearest tenth)

Answers

Answer:

[tex]9.59[/tex] ft

Step-by-step explanation:

[tex]\frac{211}{11}[/tex]

[tex]= 19.181818\\multiply\\by\\0.5\\= 9.59[/tex]

Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents. ​

Answers

9514 1404 393

Answer:

85°60°

Step-by-step explanation:

1. Angle JKL is half the measure of the intercepted arc JK.

  (1/2)JK = 1/2(360° -190°) = (1/2)(170°) = 85°

  angle JKL is 85°

__

2. The angle between tangents is the supplement of the intercepted arc.

  angle JKL = 180° -(360° -240°)

  angle JKL = 60°

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