List price of article = $2,150 Percentage discount = 18% Retail price = _____.

Answers

Answer 1

Answer:

18% reduction leaves 82% remaining. 82% of $2150 = .82(2150) = $1763.

Answer 2

Answer:

Retail Price = $1763

Step-by-step explanation:

List price of article = $2150

Percentage discount given = 18%

Then value of discount on the list price = 18% of $2150

                                                                 = [tex]\frac{(2150)(18)}{100}[/tex]

                                                                 = $387

Now the retail price of the article = List price - discount given

                                                       = $2150 - $387

                                                       = $1763

Therefore, Retail price of the article will be $1763


Related Questions

For a standard normal distribution, find the approximate value of P(z>-1.25) Use the portion of the standard normal table below to help answer the question. z Probability

Z Probability

0.00 | 0.5000

0.25 | 0.5987

1.00 | 0.8413

1.25 | 0.8944

1.50 | 0.9332

1.75 | 0.9599

a. 11% b. 39% c. 61% d. 89%

Answers

The approximate value of P(z>-1.25) from the normal table is 0.8944

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean.

It is given by:

z = (raw score - mean) / standard deviation

P(z > -1.25) = 1 - P(z < -1.25) = 1 - 0.1057 = 0.8944

The approximate value of P(z>-1.25) from the normal table is 0.8944

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Which choice is equivalent to the expression below?

Answers

Answer:

B.  7√10.

Step-by-step explanation:

√40 = √4√10 = 2√10

√90 = √9√10 = 3√10

So √40 + 2√10 + √90

=  2√10 + 2√10 + 3√10

= 7 √10.

ANSWER

B. 7√10

EXPLANATION

The given radical expression is:

[tex] \sqrt{40} + 2 \sqrt{10} + \sqrt{90} [/tex]

We need to remove the perfect square from the first and third term.

[tex]\sqrt{4 \times 10} + 2 \sqrt{10} + \sqrt{9 \times 10} [/tex]

We now share the radical sign to get;

[tex] \sqrt{4} \times \sqrt{10} + 2 \sqrt{10} + \sqrt{9} \times \sqrt{10} [/tex]

Simplify to get;

[tex]2\sqrt{10} + 2 \sqrt{10} + 3 \sqrt{10} [/tex]

This simplifies to

[tex]7 \sqrt{10} [/tex]

Which expression is undefined?

Answers

0 divided by 8 is the answer

Answer:

The expression which is undefined is:

                               8÷0

Step-by-step explanation:

Undefined expression--

It is a expression which is meaningless.

In real numbers if we divide a non-zero number by 0 then the expressions becomes meaningless.

1)

-8÷(-8)

On dividing the non-zero number by the number itself we get the resultant as 1.

i.e.

-8÷(-8)=1

2)

-8÷8

On dividing a number by the negative of same number we get the resultant as: -1

3)

0÷8

On dividing zero by any non-zero number we get the resulting value as 0.

i.e.

0÷8=0

4)

8÷0

Here in the denominator we have the number as zero.

Hence, the expression is undefined.

what is the volume of the cylinder below?

Answers

Answer:

B

Step-by-step explanation:

The formula for volume of cylinder is given below:

volume of cylinder = [tex]\pi r^2 h[/tex]

Where r is the radius (here, it is given as 3)

h is the height, the perpendicular distance from base to top (here, it is 4 NOT 5 since 5 is the 'slant height')

Plugging in the available info , we get our answer:

[tex]\pi r^2 h\\=\pi (3)^2 (4)\\=36\pi[/tex]

B is the correct answer

Answer:

B) Volume of cylinder is  [tex]36 \pi[/tex] units³.

Step-by-step explanation:

Given : Cylinder.

To find : what is the volume of the cylinder below.

Solution : We have given cylinder with radius = 3 units.

Height = 4 units .

Volume of cylinder = [tex]\pi * radius^{2} * height.[/tex]

Plug the values

Volume of cylinder = [tex]\pi * (3)^{2} * 4[/tex].

Volume of cylinder = [tex]\pi* 9 * 4[/tex].

Volume of cylinder = [tex]\pi 36[/tex] units³.

Volume of cylinder is  [tex]36 \pi[/tex] units³.

Therefore, B) Volume of cylinder is  [tex]36 \pi[/tex] units³.

omae wa sinderou nani (questions in the image btw)

Answers

Let [tex]a[/tex] be the number of hours worked at Job A and [tex]b[/tex] the number of hours at Job B. Then

[tex]a+b=30[/tex]

and

[tex]7.5a+8b=234.50[/tex]

From the first equation,

[tex]b=30-a[/tex]

and substituting this into the second gives

[tex]7.5a+8(30-a)=234.50\implies-0.5a+240=234.50[/tex]

[tex]\implies0.5a=5.50[/tex]

[tex]\implies\boxed{a=11}[/tex]

Answer:

Its called Omae Wa Mou Shindeiru.....then NANI?!

Step-by-step explanation:

and 11 is your answer....

Find the slope of the line that passes through the pair of points (–1.75, 14.5) and (–1, 4.4). Round to the nearest hundredth if necessary.
a.2.52

b.–13.47

c.–1.61

d.–0.07

Answers

For this case we have that by definition, the slope of a line is given by:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]

Two points are needed through which the line passes:

[tex](x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)[/tex]

Substituting:[tex]m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666[/tex]

Rounding:

[tex]m = -13.47[/tex]

Answer:

[tex]m = -13.47[/tex]

Answer:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Two points are needed through which the line passes:

(x_ {1}, y_ {1}): (- 1.75; 14.5)\\(x_ {2}, y_ {2}}: (- 1; 4.4)

Substituting:m = \frac {4.4-14.5} {- 1 - (- 1.75)}\\m = \frac {-10.1} {0.75}\\m = -13.46666666

Rounding:

m = -13.47

Step-by-step explanation:

Amanda and Alisa share dresses in the ratio 11:13. If Alisa gives 10 dresses to Amanda, Amanda will have twice as many dresses as Alisa has. How many dresses does each of the girls have?

Answers

Answer:

Amanda = 22

Alisa = 26

Step-by-step explanation:

Amanda : Alisa = 11 : 13

Amanda : Alisa = 11x : 13x

Alisa gives 10 dresses to Amanda.

Amanda = 11x + 10

Alisa = 13x - 10

Amanda will have twice as many dresses as Alisa has.

11x + 10 = 2(13x - 10)

11x + 10 = 2(13x - 10)

11x + 10 = 26x - 20

15x = 30

x = 2

Amanda

= 11 x 2

= 22

Alisa

= 13 x 2

= 26

Amanda has 22 dresses, and Alisa has 26 dresses. This is calculated by solving the equations given in the problem according to the ratio and conditions provided. The number of dresses each girl has fits the criteria set by the original problem.

Solving the Ratio Problem

To find the number of dresses Amanda and Alisa have, we start by setting up the ratio and the conditions given:

Let the number of dresses Amanda has be 11x and the number Alisa has be 13x. The ratio of their dresses is 11:13.

If Alisa gives 10 dresses to Amanda, Amanda's dresses become 11x + 10 and Alisa's dresses become 13x - 10. According to the problem, Amanda will then have twice as many dresses as Alisa:

11x + 10 = 2(13x - 10)

Expanding and simplifying the equation:

11x + 10 = 26x - 2010 + 20 = 26x - 11x30 = 15xx = 2

So, the number of dresses:

Amanda has: 11 × 2 = 22Alisa has: 13 × 2 = 26

The cheerleaders are making a banner that is 8 feet wide. The length of the banner is 1 1/3 times width of the banner. How long is the banner?

Answers

Answer:

The banner is 10 2/3 ft long

Step-by-step explanation:

1 1/3 = 4/3 times the width of the banner:

4/3 * 8 feet wide = 4/3 * 8 = 32/3 = 10 2/3 feet long

The banner is 10 2/3 feet long. :)

Final answer:

The question is asking for the length of a banner, given that the length is 1 1/3 times the width, which is 8 feet. By multiplying 8 feet by 1 1/3, we find that the length of the banner is 10.67 feet.

Explanation:

The question is asking for the length of a banner where the length is 1 1/3 times the width, and the width is given as 8 feet. To find the length of the banner, we need to multiply the width of the banner (8 feet) by 1 1/3, which yields 10.67 feet. Therefore, the length of the banner is 10.67 feet.

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5 kilograms of coffee are going to be shared equally among 4 people.
How many kilograms of coffee does each person get?

Answers:

between 0 and 1
between 1 and 2
between 3 and 4

Answers

Answer:

5 ÷ 4 = 1.25

So each person would get 1.25 kilograms of coffee.

Hope it helps!

Step-by-step explanation:

the answer is b

Answer:

5÷4= 1.25

So I'm assuming that it's "Between 1 and 5"...

What is the range of the function ()=12−2 f ( x ) = 1 2 x - 2 when the domain is {2, 4, 6}?

Answers

Answer:

  {-1, 0, 1}

Step-by-step explanation:

If your function is f(x) = 1/2x -2, then the range is found by executing the function on each of the domain values:

  f(2) = 2/2 -2 = -1

  f(4) = 4/2 -2 = 0

  f(6) = 6/2 -2 = 1

The range is {-1, 0, 1}.

If [tex]f(x)=\frac{3}{x+2} -\sqrt{x-3}[/tex], complete the following statement:

The domain for f(x) is all real numbers ___ than or equal to 3.

Answers

Answer:

The domain for f(x) is all real numbers greater than or equal to 3.

Step-by-step explanation:

[tex]f(x)= \frac{3}{x+2} - \sqrt{x-3}[/tex]

To solve the above equation, the value of x should be greater than or equal to 3, as we have the term [tex]\sqrt{x-3}[/tex] and if value is less than 3, the term inside the square root will be negative and we cannot find the square root of negative numbers.

So, The domain for f(x) is all real numbers greater than or equal to 3.

Answer:

"greater"

Step-by-step explanation:

The domain is the set of x values for which a function is defined.

When we have a square root is a function, we need to remember that square root can't be negative. Thus, anything under the root would need to be GREATER THAN or EQUAL to 0.

Thus

x - 3 ≥ 0

x ≥ 3

This is the constraint.

Thus

the _____ would be "greater"

Jack has $4.95 in dimes and quarters. He has 30 coins total. How many dimes and how many quarters does he have ?

Answers

Answer:

6monedas de 4y26 m onedas de10

Step-by-step explanation:

Lauren Rob need to find a decimal equivalent to 39/50 Laura said she could write an equivalent fraction with 100 as the denominator in converted into a decimal. Rob said he could divide the numerator by the denominator. Who is correct?

Answers

Final answer:

Both Laura and Rob are correct in finding the decimal equivalent of a fraction.

Explanation:

A fraction is a mathematical expression representing a part of a whole. It consists of a numerator (top number) indicating the part being considered and a denominator (bottom number) representing the total number of equal parts. Fractions are used for division, ratios, and comparisons in mathematics.

To find the decimal equivalent of a fraction, you can use either method mentioned by Laura or Rob. Laura's method involves writing an equivalent fraction with 100 as the denominator and then dividing the numerator by the denominator. For example, 39/50 can be written as 78/100, which is equal to 0.78 as a decimal. Rob's method involves dividing the numerator (39) by the denominator (50) directly, which also gives you the decimal value of 0.78.

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The sum of all the interior angles of a polygon is four times the sum of its exterior angles.Find the number of sides in the polygon.Also,find the measures of each exterior angle and each interior angles.(with steps)

Answers

Answer:

10 sides, 114, for each interior angle, and 36 for each exterior angle.

Step-by-step explanation:

Since the sum of all exterior angle is 360 multiply by 4 which gets you 1140. Then we know that there are 8 sides to an octagon to find the sum of all the interior angles we can multiply the number of sides minus 2 by 180. Now knowing this we can do this for an octagon which gives us 1080. Since that is close to 1140 we can play around with the numbers and we will eventually go with the number 10 we minus this by 2 and multiply by 180 to get 1140. To find the measurement of 1 interior angle we would divide that number by the sides, so 1140 by 10 to get 114 for our 1 interior measurement. to get the 1 exterior measurement we would divide 360 by the number of sides which gives us 36 since the sum of all exterior measurements equals 360. I hope this helps.  

The polygon in question is an octagon, with eight sides. Each exterior angle measures 45° and each interior angle measures 135°. The calculation is based on the relationship between the sum of the interior and exterior angles of a polygon.

The question involves finding the number of sides of a polygon where the sum of all the interior angles is four times the sum of its exterior angles, and then calculating the measures of each exterior and interior angle. First, it is essential to note two key facts: the sum of exterior angles of any polygon is always 360°, and the formula for the sum of interior angles of a polygon is (n-2) × 180°, where 'n' is the number of sides of the polygon.

Given that the sum of the interior angles is four times the sum of the exterior angles, we can write the equation (n-2) × 180 = 4 × 360. Simplifying this equation will give us n = 8, indicating the polygon is an octagon. Each exterior angle of an octagon is equal to 360/n, which results in each exterior angle measuring 45°. Since interior and exterior angles are supplementary, each interior angle measures 135° (180° - 45°).

What is the perimeter of the perimeter of the polygon in the diagram?

Answers

Answer:

D

Step-by-step explanation:

Use the distance formula to find all of the sides.

Then add them together

Answer: [tex]D.\ 4\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

From the given picture, it can be seen that the given polygon is dividede into four right triangles of same measurement.

Consider triangle in the first quadrant, then the base of triangle = |a-0|=a

Height of triangle = |b-0|=b

Let p be the side of the polygon which is also the hypotenuse of the given triangle.

Apply Pythagoras theorem in right triangle, we get

[tex]p=\sqrt{a^2+b^2}[/tex]

Since all the triangles are congruent, then the perimeter of the polygon is given by :-

[tex]4p=4\sqrt{a^2+b^2}[/tex]



99. Gretchen needs to bake 3 pies. Each pie takes
10 minutes to bake. She needs to let the oven
reheat for 5 minutes between each pie. She
begins baking at 8:05 a.m. Use the number line
to show when each pie is finished baking.

Answers

Answer: she will be done by 8:50

Step-by-step explanation:

45 minutes

Rectangle A has a length of 2x + 6 and a width of 3x. Rectangle B has a length of x + 2 and an area of 12 square units greater than Rectangle A's area. What is a simplified expression for the width of Rectangle B? x + 2 x + 1 6x + 6 6(x + 2)(x + 1)

Answers

Answer: So the final answer would be width is 6x + 6

Step-by-step explanation: The formula for Area is Length x width.

So A = (2x + 6)(3x) and the result is: 6x^2 + 18x

Now, let y be the width of rectangle B.

(x+2) (y) = 6x^2 + 18x + 12

(x+2) y = 6(x+1)(x+2)

y = 6(x+1)

Solve for x a)14.5 b)10 c)6/3 d) 20

Answers

Answer:

b. 10

Step-by-step explanation:

The triangles are all similar, so you have ...

hypotenuse/short side = x/4 = 25/x

Cross multiplying gives ...

x^2 = 100

x = 10 . . . . . . . take the square root

Answer:

The answer is b) 10

Step-by-step explanation:

We have to use the theorem of the cathetus or  leg rule,  that says "Each leg of the right triangle is the mean proportional between the hypotenuse and the part (projection) of the hypotenuse directly below the leg"

hypotenuse/leg =leg/part or b²= m*a

In this case,  

hypotenuse= m

leg=x

part= 4

So,  

x= √((21+4)*4)

x= √((25)*4)

x= √100

x= 10

A 6-pound watermelon costs $2.40 before a 30% discount. Which equation will allow you to find the discounted price of the watermelon?

Answers

Answer:

$1.68

Step-by-step explanation:

2.40 x .70 =1.68

Answer:

Iready Answer:  d=0.7 x $2.40

Step-by-step explanation:

100 Points! Please Help Me

Answers

Answer:

  7.  $8123.79

  8.  0.012 g

Step-by-step explanation:

It often pays to follow directions. The attachment shows the use of a TI-84 graphing calculator to find the answers.

___

You will notice that the answer to problem 8 does not agree with any of the offered choices. The time period of 22.8 years is 12 times the half-life of the substance, so there will be (1/2)^12 = 1/4096 of the original amount remaining. The time periods corresponding to the amounts shown range from 1.37 years to 16.4 years.

For half-life problems, I find it convenient to use the decay factor (0.5^(1/half-life)) directly, rather than convert it to e^-k. If you do convert it to the form ...

  e^(-kt)

the value of k is (ln(2)/half-life), about 0.3648143056.

_____

For multiple choice problems where the choices make no sense, I like to suggest you ask your teacher to show you how to work the problem. (Alternatively, use the "Report this question" or "Ask a tutor" button sometimes provided.)

Answer:

7. 8123.79

8. 0.012

Step-by-step explanation:

In a video game player can choose a character from for animal characters in three human characters players can also let the computer randomly select a character for them to player will have the computer randomly selected character what is the probability it will pick a human character

Answers

____________________________________________________

Answer:

Your answer would be 3/7 or [tex]\frac{3}{7}[/tex]

____________________________________________________

Step-by-step explanation:

In this type of question, we would need to find out the chances of getting something as an outcome, and that would be expressed as a fraction.

In order to find out the chance (or likeliness) of an outcome, we would need o use the information provided in the question.

Let's give you some key information that was given to us.

Key information:

4 animal characters

3 Human characters

With the information above, we can figure out what would be the probability of an outcome.

The question is saying "what is the probability of the computer picking a human character." That means that the amount of human characters would go on our numerator.

There's not only human characters, but there are 4 animal characters too, so that would be used to give us our total. the "4" will be added to our denominator.

Now, let's write it in a fraction.

Fraction: [tex]\frac{numerator}{denominator}[/tex]

We know that we are trying to find the probability of getting a human character, so "3" would go on our numerator.

For our denominator, we would add up both numb ers since it would have to be the total amount of options in order to find the probability, and that would be "7" since 4 + 3 = 7.

When you put those into a fraction. Your FINAL answer would be:

3/7 or [tex]\frac{3}{7}[/tex]

____________________________________________________

please help on this one

Answers

Answer:B

Step-by-step explanation: i think it is the only one observing something tell me if i am wrong though

For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the:

Answers

For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the: Sample Variance.

Answer: Sample Variance

For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the sample variance.

What is sample variance?

Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.

Sample Variance Example

Suppose a data set is given as 3, 21, 98, 17, and 9. The mean (29.6) of the data set is determined. The mean is subtracted from each data point and the summation of the square of the resulting values is taken. This gives 6043.2. To get the sample variance, this number is divided by one less than the total number of observations. Thus, the sample variance is 1510.8.

Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.

[tex]S^{2}= \frac{\sum_{i=1}^{n}(x_{i}-\mu )^{2} }{n-1}[/tex]

Hence, For a set of data, the average squared deviation from the mean, with a denominator of n-1 is called the sample variance.

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Solve 4 - x= -8.

pleaseandthankyouvmuch

Answers

Answer:

x=12

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−x=−8

4+−x=−8

−x+4=−8

Step 2: Subtract 4 from both sides.

−x+4−4=−8−4

−x=−12

Step 3: Divide both sides by -1.

−x /−1 = −12 /−1

x=12

Well, we should first make it so that 4 and 8 are on one side of the equal sign and x is on the other.

  4-x=-8

+x    +x

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

  4= -8+x

Then, we do the same thing for the 8

 4= -8 +x

+8    +8

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

12=x

Therefore, x=12

Each Saturday morning Andy works 4 hours and earns $34 .At that rate,what does Andy earn for each hour he works

Answers

Andy earns $8.50 per hour by dividing the total amount he earns ($34).

To find out how much Andy earns for each hour he works, you need to divide the total amount he earns by the number of hours he works on Saturday morning. If Andy earns $34 over 4 hours, his hourly wage is calculated as follows:

Divide $34 by 4 hours.

$34 / 4 hours = $8.50 per hour.

So, Andy earns $8.50 per hour.

Related Scenarios

At an hourly wage of $10 per hour, a similar worker like Marcia Fanning is willing to work 36 hours per week.

With increased hourly wages between $30 and $40, Marcia decides to work 40 hours per week.

When offered $50 per hour, she chooses to reduce her hours to 35 per week, likely to balance her work and leisure time in a way that maximizes her utility.

These examples illustrate how an increase in hourly wage can influence the number of hours a person is willing to work to balance overall life satisfaction and economic benefits

Which of the following illustrate the communative property? Select all that apply.

Answers

Answer: the answers are A. D. E. and F.

Step-by-step explanation:In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.

Hope this helps. Please name me brainliest.

Answer:

It's actually A, D, E...I just got the answer wrong on algebra nation

Using and Analyzing Regression Lines
The regression line modeling the number of push-ups Juan does each day is y = 0.631x + 0.0357.
Which one doesn't explain the graph correctly?

1. There is a negative correlation between time (in days) and the number of push-ups Juan does.

2. Juan increases the number of push-ups he does by about 0.631 each day.

3. The response variable is the number of push-ups

4. The explanatory variable is time (days)

Answers

Answer:

1. There is a negative correlation between time (in days) and the number of push-ups Juan does.

Step-by-step explanation:

The slope of the regression line (0.631) is positive, so the correlation between days and pushups is positive.

Math please help ???

Answers

Answer: Option B

[tex]y=0.5x +0.75[/tex]

Step-by-step explanation:

The equation modeling this situation is a linear equation of the form

[tex]y = mx + b[/tex]

Where x is the slope and b is the intercept with the y axis.

To find the equation of a line we need two points that belong to the line.

We know that when it is empty the jug weighs 0.75 lib.

This is:

When x = 0, y = 0.75

Then when the jug contains 3 cups of water it weighs 2.25 pounds.

This is:

When x = 3, y = 2.25

We already have the two points

Then we find the slope of the straight

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

[tex]y_2 = 2.25\\\\y_1=0.75\\\\x_2=3\\\\x_1=0[/tex]

[tex]m=\frac{2.25-0.75}{3-0}[/tex]

[tex]m = 0.5[/tex]

The equation is:

[tex]y=0.5x +b[/tex]

We substitute the point (0, 0.75) in the equation and solve for b

[tex]0.75=0.5(0) +b[/tex]

[tex]b=0.75[/tex]

Finally the equation is:

[tex]y=0.5x +0.75[/tex]

Answer:

no freaking way, is the state test? because if it is, then wow, you need to do your work

Step-by-step explanation:

the APR on leslie's credit card is currently 21.6%. what is the monthly periodic rate?

Answers

APR = 21.6% = 0.216

The APR is the annual periodic rate

The monthly periodic rate is the annual periodic rate divided by 12, because there are 12 months in a year

Monthly periodic rate = APR / Number if months in a year

= 21.6% / 12

= 1.8%

The APR on Leslie's credit card is currently 21.6%. The monthly periodic rate will be 1.8%.

What is APR?

The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on borrowing money in the form of interest but APR is applied annually.

It is given that, the APR on Leslie's credit card is currently 21.6%.

APR = 21.6% = 0.216

Since there are 12 months in a year, the annual periodic rate is divided by 12 to determine the monthly periodic rate.

Monthly periodic rate = APR / Number of months in a year

= 21.6% / 12

= 1.8%

Thus, the APR on Leslie's credit card is currently 21.6%. The monthly periodic rate will be 1.8%.

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Which expression can be used to find the output numbers in the table???

Answers

Answer:

[tex]\large\boxed{x+6}[/tex]

Step-by-step explanation:

[tex]x = 12\to y=12+6=18\\x=13\to y=13+6=19\\x=14\to y=14+6=20\\x=15\to y=15+6=21\\\vdots\\x\to y=x+6[/tex]

The linear function represented in the table is given by:

[tex]y = x + 6[/tex]

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.

From the table, two of the points (x,y) are (12,18) and (13,19).

The slope is given by change in y divided by change in x, thus:

[tex]m = \frac{19 - 18}{13 - 12} = 1[/tex]

Then

[tex]y = x + b[/tex]

Point (12,18) means that when [tex]x = 12, y = 18[/tex], and this is used to find b.

[tex]y = x + b[/tex]

[tex]18 = 12 + b[/tex]

[tex]b = 6[/tex]

Thus, the equation is:

[tex]y = x + 6[/tex]

A similar problem is given at https://brainly.com/question/16302622

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