The preparation of the bond that should be reported on the balance sheet is presented below:
E-tech initiatives limited plans to issue $500,000, 10-year, 4 percent bonds. Interest is payable annually on december 31. All of the bonds will be issued on january 1, 2022.
We need to present it on balance sheet balance sheet if they are issued at 97.
E-Tech Initiatives Limited
Partial balance sheet
As on January 2, 2019
Liabilities
Long term Liabilities
Bond Payable $500,000
Add: Premium on Bond $10,000 ($510,000 - $500,000)
Carrying value $510,000 ($500,000 * 97%)
Therefore, The preparation of the bond that should be reported on the balance sheet is presented above.
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in a family with 7 children, excluding multiple births, what is the probability of having 3 boys and 4 girls
The probability having of 3 boys and 4 girls is 33 or 0.33
what is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
solution:
Assuming 50/50 chance on boy/girl we see following outcome:
(1/2^7).
Since there is only one way you can have 3 girls, followed by 4 boys.
If you would tell the boys apart, and the girls, for instance by their names, the probability would be:
6 * (1/2)^3 *(1/2)^4 * 24.
6 Times because the girls would then have 6 orders of having been born.
24 Times because then the boys would have 24 orders of having been born.
Therefore, The probability of 3 boys and 4 girls is 33 or 0.33
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the mean water temperature downstream from a discharge pipe at a power plant cooling tower should be no more than 100°f. assume the water temperature is approximately normally distributed with standard deviation of 2°f. the water temperature is measured on nine randomly chosen days, and the sample average of those nine temperatures is found to be 98°f. (a) is there sufficient evidence in the sample data to support the claim that the mean water temperature is not acceptable at α
A) Yes , there is there sufficient evidence in the sample data to support the claim that the mean water temperature is not acceptable at α.
Hypothesis test for the given population mean :
The claim is that the mean water temperature is significantly below 100 °F.
Then, the null and alternative hypothesis are:
H0 : Ц = 100
H1 : Ц < 100
The significance level is 0.05.
The sample has a size n=9.
The sample mean is M=98.
The standard deviation : σ=2
Standard error = 0.667
Z = -3
Therefore, P-value (0.001) is smaller than the significance level (0.05)
The null hypothesis is rejected.
The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error is known as null hypothesis.
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WILL GIVE BRAINLEST! AND 20 POINTS!
Answer:
i need the points
Step-by-step explanation:
idek
Answer: Choice B.
The relationship is not proportional. The number of water bottles that are thrown away Increases from month to month than the number of water bottles that are recycled.
What is the value when the y intercept of f(x) is subtracted from the y intercept of g(x)? f(x) =3x-5 g(x) is shown in the graph below:
In the general form y = mx + c, c is the y-intercept of the line. The difference of y-intercepts is -5.2.
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
Given that,
The equation for f(x) = 3x - 5
And, the value of y-intercept of g(x) from the graph is 0.2
The y-intercept of f(x) can be obtained by comparing it with y = mx + c, where c is the y-intercept as follows,
c = -5.
Thus, the difference of their y-intercepts as per the question is given as,
-5 - 0.2 = -5.2
Hence, the difference of the y-intercepts of f(x) and g(x) is given as -5.2.
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help please might give brainliest answer
let x represent the full length of a certain species of newt. assume that x has a normal probability distribution with mean 110.6 inches and standard deviation 4.9 inches. you intend to measure a random sample of n
If x represents the full length of a certain species of newts then, the mean of the sampling distribution and standard deviation are 216, and 0.31 respectively.
Central Limit Theorem for mean: When a random sample of size n is taken from a population with a mean and standard deviation, the sample mean approaches the normal distribution with mean and standard deviation σ/sqrt (n) as the sample size increases.
Sampling distribution of the sample mean:
using, Central Limit Theorem, the mean of the sampling distribution is μ_{x-bar} = 216.
The standard deviation of the population is σ = 3.1 and the sample size is n =103, people
The standard deviation σ/√n= 3.1/√103 =0.31.
As a result, the sample mean for the 103 sample size, following normal distribution has a mean of μ_{x-bar} = 216 and a standard error of μ_{x-bar} = 0.31.
x-bar ≈ N (216, 0.31)
μ_{x-bar} = 216
σ_{x-bar} =0.31
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(complete question)
Let X represent the full length of a certain species of newt. Assume that X has a normal probability distribution with a mean of 110.6 inches and a standard deviation of 4.9 inches. You intend to measure a random sample of n = 103. find the mean of the sampling distribution and standard deviation.
Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale - with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1's, 15% 2's, 34% 3's, and 41% 4's. Mr. Goodman sets a goal to outscore these numbers. At the end of the year he takes a random sample of his evaluations and finds 11 1's, 14 2's, 47 3's, and 53 4's. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Department's?
It cannot be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s
H₀: There is no difference in Mr. Goodman’s evaluations and the History Department’s
H: there is a significant difference between Mr. Goodman’s evaluations and the History Department’s
Applying chi-square test
relative observed Expected residual Chi-square
1's 0.100 11.000 12.500 -0.42 0.180
2's 0.150 14.000 18.750 -1.10 1.203
3's 0.340 47.000 42.500 0.69 0.476
4's 0.410 53.000 51.250 0.24 0.060
total 1.000 125 125 1.9196
test statistic X²=1.9196
p-value =0.5893
Hence it cannot be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s as we fail to reject the null hypothesis.
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At breakfat diner a cup of coffee cot$2. 75 and a muffin i $3. 25. What i the ale tax on the two item if the rate i 7. 5%?
The sales tax on both muffin and cup of coffee at breakfast dinner is $0.45.
Define the term sale tax?The government levies a consumption tax known as a sales tax on the purchase of merchandise and services. At the point of purchase, a standard sales tax is imposed, collected by the shop, and paid to the government. You must also pay sales tax, which is calculated as a percentage of both the selling price of the items and services you buy.As the stated question-
A muffin was $3.25 and A cup of coffee cost $2.75 7. 5% is the rate at the breakfast eatery.Thus,
Total cost = $3.25 + $2.75
Total cost = $6.00
Sales tax = 7.5% of $6.00
Sales tax = 7.5 x 6.00 / 100
Sales tax = $0.45
Thus, the sales tax on both muffin and cup of coffee at breakfast dinner is $0.45.
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The correct question is-
At breakfast diner a cup of coffee cost $2. 75 and a muffin s $3. 25. What is the sale tax on the two item if the rate is 7. 5%?
Determine the range of the following graph
Answer: R: yE[-8,7]
Step-by-step explanation:
If 1 liter is approximately equal to 1.06 quarts, about how many quarts are in 28.5 liters
Answer:
About 30.21 quarts
Step-by-step explanation:
[tex]q=(28.5)(1.06)=30.21[/tex]
Hope this helps
Choose the expression that is equivalent to 8-^10/(8^4)(8^0)
1/8^14
8^14
- 1/8^14
- 8^14
The expression 1/8¹⁴ is equivalent to 8⁻¹⁰ / (8⁴)(8⁰). The 1st option is the answer
How to determine the expression that is equivalent to 8⁻¹⁰ / (8⁴)(8⁰)?
Index ( plural indices) is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3.
Given: the expression 8⁻¹⁰ / (8⁴)(8⁰)
8⁻¹⁰ / (8⁴)(8⁰) can be written as:
8⁻¹⁰ / (8⁴)(8⁰) = 8⁻¹⁰ / (8⁴)(1) (Note: 8⁰ = 1)
= 8⁻¹⁰ / 8⁴ (Note: 1/8⁴ = 8⁻⁴ )
= 8⁻¹⁰ × 8⁻⁴
= 8⁻¹⁰ ⁺ ⁻⁴
= 8⁻¹⁴
= 1/8¹⁴
Thus, 1/8¹⁴ is the equivalent to 8⁻¹⁰ / (8⁴)(8⁰)
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henry is organizing textbooks on his bookshelf. he has a spanish textbook, a math textbook, and a history textbook. how many different ways can he line the textbooks up on his bookshelf?
Answer:
6
Step-by-step explanation:
S = Spanish book
M = Math book
H = History book
These are the different ways in which he can organize the book on his bookshelf.
SMH
SHM
MSH
MHS
HSM
HMS
There are 6 ways.
Some nations require their students to pass an exam before earning their primary school degrees or diplomas. A certain nation gives students an exam whose scores are normally distributed with a mean of 414141 points and a standard deviation of 999 points. Suppose we select 222 of these testers at random, and define the random variable ddd as the difference between their scores. We can assume that their scores are independent. Find the probability that their scores differ by more than 151515 points.
The required probability that their scores differ by more than 15 points is 0.99807.
As stated in the question, a specific country administers an exam to students with scores that are regularly distributed with a mean of 41 points and a standard deviation of 9 points. Assume we randomly select two of these testers and define the random variable d as the difference in their scores.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Z = x - μ / σ
Z = 15 - 41 / 9
Z = -2.88
Now,
P(x > 15) = P (z > -2.88)
= 0.99807
Thus, the needed chance is 0.99807 and their scores differ by more than 15 points.
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Suppose the mean gmat score is 550 with a standard deviation of 100. Hayden takes the gmat and is told his z-score is 2. 5. Interpret the meaning of a z-score in this context.
a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
z-scores are used to describe normal distributions
The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
How to interpret the z-scores
The z-score is given as:
z = 2.5
The mean and the standard deviation are:
Mean = 550
Standard deviation = 100
A z-score is the number of standard deviations above or below the mean.
Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
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what is the x-coordinate of the point that divides the directed line segment from k to j into a ratio 1:3 -1 3 7 11
The x-coordinate of the point that divides the directed line segment from k to j into a ratio 1:3 is given as follows:
x = 7.
How to obtain the x-coordinates?The direction of the segment is given as follows:
K to J.
The desired point divided the directed line segment from k to j into a ratio 1:3, hence the equation involving proportions is given as follows:
P - K = 1/4(J - K).
This equation is used to obtain both the x-coordinate and the y-coordinate of the point.
The x-coordinates of the points are given as follows:
Point P: x.Point K: 9.Point J: 1.Hence the x-coordinate of the segment is obtained as follows:
x - 9 = 1/4(1 - 9)
x - 9 = -2
x = -2 + 9
x = 7.
Missing InformationThe segment is given by the image shown at the end of the answer.
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In baseball each time a player attempts to hit the ball it is recorded the ratio of his compared to the total Tems is there a batting average each player on the team wants to have the highest batting average to help their team the most for the season so far Jenna has hit the ball 12 times Outta 15 attempts thought I said the 19 out of 10 times which player has a ratio that means you have a better batting average?
The answer is: A) Tasha, because she has the lowest ratio since 0.75 < 0.8
Explain:
i did the test
Answer:
Step-by-step explanation:the answer is a
license plates in a country far away consist of 2 letters followed by 4 digits (0-9). if the only restriction is that plates can not have the same digit 4 consecutive times, how many plates are possible? (so sw-4444) is not allowed by (sw-4443) is
As per the given probability, there are 6760000 number of plates number are possible.
Probability:
In math, probability means the possibility of favorable outcome.
Given,
License plates in a country far away consist of 2 letters followed by 4 digits (0-9). if the only restriction is that plates can not have the same digit 4 consecutive times,
Here we need to find how many plates are possible.
Here we have given that, A license plate composed of 2 letters followed by 4 digits.
The first step is considering the letters in the plate.
Here we know that, the plate consists of 2 letters.
And in alphabets, we have 26 letters which start from A to Z.
Therefore, we can choose 2 letters from 26 letters in 26² ways.
Now, we considering the digits in the plate.
Here the plate consists of 4 digits.
And we have 10 digits which starts from 0 to 9.
Now we can choose 4 digits from 10 digits in 10⁴ ways.
Therefore, the number of possible plates is
=> 26² × 10⁴
=> 676 x 10000
=> 6760000
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A researcher is attempting to determine which ethnic group is more likely to go to the movies at a movie theatre. The dependent variable is metric. Which of the following tests is most appropriate?
analysis of variance
The correct answer is analysis of variance.
Given that,
Which ethnic group visits movie theaters most frequently That is the question being asked by a researcher. Metric is the dependent variable.
To find : Which of the following tests is most appropriate
What is ANOVA ?
Analysis of variance (ANOVA) is a statistical technique for examining variations in means. It consists of a number of statistical models and the estimating techniques they require. The statistician Ronald Fisher is credited with creating the ANOVA. According to the law of total variance, which is the foundation of ANOVA, the observed variance in a given variable is divided into components that can be attributed to various causes of variation. ANOVA generalizes the t-test beyond two means by offering a straightforward statistical test for the equality of two or more population means. In other words, the ANOVA is employed to compare two or more means.
Therefore, the correct answer is analysis of variance.
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Two quantities vary inversely. If the value of the first is 15 when the value of the second is 18, find the value of the second quantity when the first is 10. 8 1/3 12 27.
Using the inverse proportion formula, the value of the second quantity y in the question is (D) 27.
What is inverse proportion?One kind of proportionality relationship is inverse proportion.
If two quantities are inversely related, one will increase while the other will decrease.
Building a wall would be an example of an inverse proportion in action.
On the other hand, in indirect or inverse proportion, if one quantity rises, the other one falls, and vice versa.
So, the value of the second quantity will be:
The formula for inverse proportion:
y = k/x ...(1)
Pur x = 15 and y = 18 in (1) as follows:
15 = k/15
× 15 on both sides:
15 × 15 = k/15 × 15
k = 270
Now, obtain y as follows using the same process:
Let, x = 10 and k = 270:
y = k/x
y = 270/10
y = 27
Therefore, using the inverse proportion formula, the value of the second quantity y in the question is (D) 27.
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Complete question:
Two quantities vary inversely. If the value of the first is 15 when the value of the second is 18, find the value of the second quantity when the first is 10.
a. 8
b. 1/3
c. 12
d. 27.
Answer:
27
Step-by-step explanation:
odyssey
In parallelogram wxyz, what is cy? 11 ft 15 ft 21 ft 23 ft
The CY in the given Parallelogram WXYZ is 15 ft.
A parallelogram is defined as, "A geometrical figure whose sides are parallel to each other. "
In the given Parallelogram WXYZ, the length of the sides is not given. Although, the length of the two diagonal sides is given which are CY and CW with a variable x. The following are the values of these two diagonals:
CY = (2x - 7) ft .....(1)
CW = (x + 4) ft ......(2)
In this given question, we need to find the value of CY. So, we can find the value of CY by finding the value of variable x.
To find the value of x, we follow the theorem:
"In the parallelogram, The diagonals bisect each other"
We get that,
CY = CW ......(3)
By putting the value equation (1) and (2) in equation (3), we get
2x - 7 = x + 4 ......(1)
By subtracting 'x' and adding '7' on both sides of the equation.
x = 11,
So we get,
x = 11.
By putting the value of 'x' in equation (1), we get:
CY = 2(11) - 7 = 11 - 7
CY = 4.
Hence, the value of CY is 4.
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PLEASE HELP WITH THIS PICTURE IM STUCK
Answer:
A. The plane will travel 1180 miles in 10 hours
B. The plane is traveling at a rate of 118 miles per hour
Step-by-step explanation:
Step 1: Divide 590 by 5 to get how many miles it travels in 1 hour
1. 590/5 = 118 miles per hour
Step 2: Multiply 118 by 10 to get how many miles it travels in 10 hours
2. 118 ∙ 10 = 1180 miles per 10 hours
Doug buys a pumpkin every year. The first time he bought a pumpkin, at year 0, it cost $2.60. He notices the price is getting more expensive, at a rate of 7% per year.
Doug sketches a graph of the situation.
Which statements are true?
Select each correct answer.
Responses
The graph has an x-intercept and a y-intercept.
The graph has an , x, -intercept and a , y, -intercept.
The graph increases from left to right.
The graph increases from left to right.
The point (0, 2.60) is on the graph.
The point , , , begin ordered pair 0 comma 2.60 end ordered pair, , , is on the graph.
The graph has a y-intercept only.
The graph has a , y, -intercept only.
The graph decreases from left to right.
The graph decreases from left to right.
The point (2.60, 0) is on the graph.
The correct statements regarding the graph of the exponential function y = 2.60(1.07)^x are given as follows:
The graph increases from left to right.The point (0, 2.60) is on the graph.The graph has a y-intercept only.What is the definition of the exponential function?The definition of an increasing exponential function is given as follows:
y = a(1 + r)^t.
In which the parameters are given as follows:
a is the y-intercept of the exponential function, representing the initial value.r is the growth rate of the exponential function.In the context of this problem, the values of these parameters are given as follows:
a = 2.6, r = 0.07.
Hence the function is given as follows:
y = 2.6(1.07)^x.
The features of the function are given as follows:
y-intercept at point (0, 2.6).Increasing, as the term elevated to x has an absolute value greater than 1.No x-intercepts, as the horizontal asymptote of the graph is at x = 0.More can be learned about exponential functions at https://brainly.com/question/25537936
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with is 1+1 i want to see if dis work
Answer:
1,999,999,999,999,999,999,999,999,999,999,999$
naaaaaaa
1+1 = 0
Step-by-step explanation:
lol your answer is 2
suppose that you have 440 feet of rope and want to use it to make a rectangle. what dimensions should you make your rectangle if you want to enclose the maximum possible area?
The maximum possible area is 110 x 110 feet
What is area ?
Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
The term "area" refers to the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its width.
440/4 = 110 x 110 feet
the biggest area is with a square. A square has 1/4 dimensions for each side. with 1/4 of the total perimeter. 1/4 of 440 is 110 feet.
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a racecar travels around an oval track. let d represent the distance driven by the racecar (in meters) from the starting line, and let t represent the number of seconds since the racecar left the starting line. the function f , defined by the formula f ( t )
Select all of the choices that are equal to (-5)-(-12)
Answer:
7 {No choices are given}
Step-by-step explanation:
Given problem,
→ (-5) - (-12)
Let's solve the problem,
→ (-5) - (-12)
→ (-5) + 12
→ (-5 + 12) = 7
Thus, the answer is 7.
The box plots show the math scores of students in two different classes. Based on the box plots, which statement is correct?
A. The median score of Class A is greater than the median score of Class B.
B. The lower quartile of Class A is greater than the lower quartile of Class B.
C. The upper quartile of Class A is greater than the upper quartile of Class B.
D. The maximum score of Class A is greater than the maximum score of Class B.
Based on the box plots, the statement which is correct is that: A. The median score of Class A is greater than the median score of Class B.
What is a box and whisker plot?In Mathematics, a box plot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Additionally, the five-number summary of any box plot (box and whisker plot) include the following:
MinimumFirst quartileMedianThird quartileMaximumBy critically observing the box plot (box and whisker plot) which represent the math scores of students in in two different classes, we can reasonably and logically deduce the following median scores;
Median score of class A = 80
Median score of class B = 75
Therefore, a median score of 80 in Class A is greater than the median score of 75 in Class B.
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Use a Riemann sum with 4 rectangles of equal width to approximate the area between y=3x^(2)+1 and the x-axis on the interval -1,5. Use the left -hand endpoint of each subinterval.
The approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.
We can approximate the area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 using a Riemann sum with 4 rectangles of equal width. The left-hand endpoint of each subinterval will be used.
The width of each rectangle is the length of the interval (5-(-1)) divided by the number of rectangles (4). Therefore, the width of each rectangle is
(5-(-1))/4 = 6/4 = 1.5.
Since we are using the left-hand endpoint of each subinterval, the x-values of the left-hand endpoints of the rectangles are
-1, -1+1.5
-1+1.5+1.5
-1+1.5+1.5+1.5 = -1+4.5=3.5
The height of each rectangle is determined by the value of y at the corresponding x-value.
Therefore, the heights of the rectangles are
3(-1)^2+1=2
3(-1+1.5)^2+1=7.125
3(3.5)^2+1=35.125
3(3.5+1.5)^2+1=46.875
The area of each rectangle is the product of its width and height, so the areas of the rectangles are
2*1.5=3
7.125*1.5=10.6875
35.125*1.5=52.6875
46.875*1.5=70.3125.
Therefore, the approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.
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9c-18c-11c=-20 solve for c
Answer:
C = 1
Step-by-step explanation
Answer:
c = 1
Step-by-step explanation:
9c - 18c - 11c = - 20
Combine like terms.
- 20c = - 20
Divide both sides by -20.
c = 1
Paul buys a ping pong table that has an original price of $350. He uses a coupon code to get a 20% discount off of the original price. He is then charged a 6% tax on the discounted price. What is the final cost for Paul's ping pong table?
The final cost for Paul's ping pong table will be;
⇒ $296.8
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The original price of ping pong table = $350
And, He uses a coupon code to get a 20% discount off of the original price. He is then charged a 6% tax on the discounted price.
Now,
Since, The original price of ping pong table = $350
And, He uses a coupon code to get a 20% discount off of the original price.
Hence, The discounted price = 20% of $350
= 20/100 × 350
= $70
So, The price of ping pong table = $350 - $70
= $280
And, He is then charged a 6% tax on the discounted price.
So, We get;
The tax price = 6% of $280
= 6/100 × $280
= $16.8
Thus, The final price for Paul's ping pong table = $280 + $16.8
= $296.8
Therefore, The final cost for Paul's ping pong table will be;
⇒ $296.8
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