You buy a pair of jeans at a department store. Jeans 39.99 Discount -10.00 Subtotal 29.99 Sales tax 1.95 Total 31.94 a. What is the percent of discount to the nearest percent? The percent of discount is ___%. b. What is the percent of sales tax to the nearest tenth of a percent? The percent of sales tax is ___% c. The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent? The percent of markup is ___%

Answers

Answer 1

The discount offered on the jeans is 25 percent. The sales tax charged on the jeans is 6.5 percent. Markup on the jeans after allowing discount is 60 percent.

a. To find the percent of discount, we need to calculate the actual discount and divide it by the original price, then multiply by 100. From the given information, the original price of the jeans is $39.99 and the discount is $10.00. Therefore, the actual discount is $10.00 and the original price is $39.99. The percent of discount to the nearest percent is:

Percent of discount = (actual discount / original price) x 100

Percent of discount = (10.00 / 39.99) x 100

Percent of discount = 25%

Therefore, the percent of discount to the nearest percent is 25%.

b. To find the percent of sales tax, we need to divide the sales tax by the subtotal, then multiply by 100. From the given information, the subtotal is $29.99 and the sales tax is $1.95. Therefore, the percent of sales tax to the nearest tenth of a percent is:

Percent of sales tax = (sales tax / subtotal) x 100

Percent of sales tax = (1.95 / 29.99) x 100

Percent of sales tax = 6.5%

Therefore, the percent of sales tax to the nearest tenth of a percent is 6.5%.

c. The price of the jeans includes a 60% markup, which means that the selling price is 160% of the cost price. Let x be the cost price of the jeans. Then, the selling price of the jeans is 1.6x. After the discount of $10.00, the selling price becomes 1.6x - 10.00. The percent of markup after the discount to the nearest percent is:

Percent of markup = ((selling price - cost price) / cost price) x 100

Percent of markup = (((1.6x - 10.00) - x) / x) x 100

Percent of markup = (0.6x - 10.00) / x x 100

Percent of markup = 60 - (1000 / x)

Percent of markup = 60%.

So, the percent of markup after the discount is approximately 60%.


Related Questions

Suppose your average, after taking 4 quizzes, is 73(out of 100). What must your average be on the next 5 quizzes to increase your average to 88 out of 100?

Answers

x = average of next 5 quizzes

4 * 73 = first 4 quizzes

There will be a total of 4 +5 = 9 quizzes

Average of all quizzes = 88 = (4*73+5x)/9

 

9*88 = 9*(292 +5x)/9

792 = 292 + 5x

500 = 5x

X = 500/5 = 100

 Next 5 quizzes need to average 100


Plastic storage bins are designed so they can be nested. The picture shows how each one fits inside another, leaving only the top part showing. The 4 stacked 10-gallon bins shown here measure 29 inches high. The height of the stack grows at the rate of 4 inches for each added bin. Write an equation in the form y = mx + b to describe the relationship between x, the number of nested bins, and y, the height of the stack.

Answers

one may note, you kinda missed including the related pictures.

so for every added bin, the stack grows by 4 inches. rise/run, the run is 1, the rise is 4, 4/1 = m = slope

now.... in the picture not shown hehee, the 10-gallon bins, 4 of them measure up to 29 inches high.... wait a second.. I thought the rise was only 4?

well, there are 4 bins, like in this case, so the rise should be 4*4, or 16, but there are 29 inches, that means, the slack leftover is the "initial value", or y-intercept, which should be 29 - 16, or 13.

[tex]\bf slope=m=\cfrac{rise}{run}\implies \cfrac{4}{1}\implies 4 \\\\\\ y-intercept\implies 13 \\\\\\ y=mx+b\implies y=4x+13[/tex]

Suppose we select, without looking, one marbles from a bag containing 4 red marbles and 10 green marbles.what is the probability of selecting a green marbles? cours hero

Answers

Since 10 out of 14 marbles are green, the probability of selecting a green marble is 10/14=0.714.

Similarly, the probability of selecting a red marble would be 4/14.

Answer: 0.714


Find the circumference and the area of a circle with diameter
2ft

Answers

Final answer:

The circumference of a circle with diameter 2ft is 2π ft and the area is π ft².

Explanation:

To find the circumference of a circle, you can use the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter is 2ft, so the circumference would be C = π(2) = 2π ft. To find the area of a circle, you can use the formula A = πr², where A is the area and r is the radius. Since the radius is half the diameter, the radius would be 2ft/2 = 1ft. Therefore, the area would be A = π(1)² = π ft².

Final answer:

The circumference of a circle with a diameter of 2 feet is approximately 6.28 feet, and the area is approximately 3.14 square feet using the formulas C = πd and A = πr².

Explanation:

To find the circumference and the area of a circle with a diameter of 2 feet, we can use the formulas for circumference and area. The diameter of the circle is given as 2 feet. Therefore, the radius (r) is half of the diameter, which is 1 foot.

The formula for the circumference of a circle is C = πd where C is the circumference, π (pi) is approximately 3.14159, and d is the diameter. Since the diameter (d) is 2 feet, the circumference is:

C = π × 2 feet ≈ 3.14159 × 2 feet ≈ 6.28318 feet

So the circumference is approximately 6.28 feet.

The formula for the area of a circle is A = πr² where A is the area and r is the radius of the circle. Using the radius 1 foot, we find the area as follows:

A = π × (1 foot)² ≈ 3.14159 × 1 foot × 1 foot ≈ 3.14159 square feet

So the area of the circle is approximately 3.14 square feet.

A basketball player makes 39% of her shots from the free throw line. suppose that each of her shots can be considered independent and that she takes 5 shots. let x = the number of shots that she makes. what is the standard deviation for x?

Answers

Answer: 1.09

Step-by-step explanation:

Given : A basketball player makes 39% of her shots from the free throw line.

i.e. Proportion of her shots from the free throw line: p= 0.39

We assume that each of her shots can be considered independent .

She takes 5 shots.

i.e. Number of trials : n= 5

Let x = the number of shots that she makes.

Then , the standard deviation for x will be :-

[tex]\sigma=\sqrt{np(1-p)}\\\\=\sqrt{5(0.39)(1-0.39)}\\\\=\sqrt{1.1895}=1.09064201276\approx1.09064201276\approx1.09[/tex]

Hence, the standard deviation for x= 1.09

Final answer:

The standard deviation for the number of shots made by a basketball player who has a 39% success rate and takes 5 shots is approximately 1.09 shots, calculated using the binomial distribution formula.

Explanation:

To find the standard deviation for the number of shots made by a basketball player who makes 39% of her shots, we use the concept of a binomial distribution.

Given that each shot is independent and that she takes 5 shots, with x representing the number of shots made, we can calculate the standard deviation using the formula for a binomial distribution.

The formula for the standard deviation (σ) in a binomial distribution is σ = √[n × p × (1 - p)], where n is the number of trials (in this case, 5 shots), and p is the success probability per trial (in this case, 0.39 for making a shot).

Plugging in the values, we get σ = √[5 × 0.39 × (1 - 0.39)] = √[5 × 0.39 × 0.61] = √[1.1885] ≈ 1.09 shots.

Therefore, the standard deviation for the number of shots made is approximately 1.09 shots.

John's goal is to have more than -7 dollars in his bank account by the end of the month. The variable d is the number of dollars in John's bank account at the end of the month. Write an inequality in terms of d that is true only if John meets his monthly goal.

Answers

d > -7. Notice that it is > and not >=, because it is more than. Curious it says -7 dollars, and not a positive value

Answer:

d > - 7

Step-by-step explanation:

Here, d represents the number of dollars in John's bank account at the end of the month.

As per statement,

In John's account,

The balance must be more than -7 dollars,

That is, Number of dollars at the end of each month > - 7 ( '>' is used for more than )

d > - 7

Which is the required inequality.

What is the total amount in an account that has had $35 per month added into it for 30 years and grew with an annual interest rate of 7%?

Answers

The formula of the future value of annuity ordinary is
Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT monthly payment 35
R interest rate 0.07
K compounded monthly 12 because the payment is monthly
N time 30 years

Fv=35×(((1+0.07÷12)^(12×30)
−1)÷(0.07÷12))
=42,698.98

Explain how you can use place value patterns to describe how 50 and 5000 compare

Answers

The place value pattern is a system of patterns of tens in which every place value is ten times the value on its right. The place value pattern system is used to write numbers that are 10 times as much as or 1/10 of any given number. 
The place values in the pattern are: ones, tens (10*ones), hundreds (10*tens), thousands (10*hundreds),...
So, 50 = 5 tens 
       5000= 5 thousands, 0 hundreds, 0 tens, 0 ones

So, 5000 > 50

The length of a spring is a linear function of the weight of the object compressing it. For a particular spring, the length decreases by 1.5 inches for every 3 pounds pressing down on it. When 4 pounds are on the spring, the length of the spring is 8 inches long. What is the length of the spring if 15 pounds are pressing down on the spring?

Answers

2.5 inches long because 15-4=11 and 11/3=3.6666667 and 3.6666667x1.5=5.5. Therefore, the spring decreased another 5.5 inches from 8 inches so the spring would now be 2.5 inches long.

How many different three digit numbers can be written using digits 1,2,3,4,5 without any repeating digits? Thank you.

Answers

1st Method:

The 1st digit can be written in 5 ways
The 2nd digit can be written in 4 ways (since 1 already gone and no repetition)
The 3rd digit can be written in 3 ways (since 2 already gone and no repetition)

Total number of ways = 5x4x3 = 60 ways

2nd Method : Permutation  (since ORDER MATTERS) of 3 digits chosen among 5 (with no repetition)

⁵P₃ = (5!)/(5-3)! = (5!)/(2!) = 60 ways
Final answer:

We can use the principles of permutation to find out that there are 60 different three-digit numbers that could be formed using the digits 1,2,3,4,5 without repetition.

Explanation:

In order to find out how many different three-digit numbers can be formed using the digits 1,2,3,4,5 without repetition, we use the principles of permutation. Firstly, we should determine how many options we have for each digit place in the three-digit number.

There are 5 possible digits for the first place (since none has been used yet).There are 4 remaining digits for the second place.Finally, there are only 3 digits left to fill the third place.

We then multiply these options together (5 x 4 x 3) which equals to 60 different three-digit numbers.

Learn more about Permutations here:

https://brainly.com/question/23283166

#SPJ3

Noel reads 90 minutes a day for six days. Tyra reads 60 minutes for eight days. what is the diffrence , in minutes , between the total amount of time Noel read and the total amount Tyra read.


A. 30

B. 40

C.60

D. 80

Answers

Noel : 90 minutes a day for 6 days....90 * 6 = 540 minutes
Tyra : 60 minutes a day for 8 days....60 * 8 = 480 minutes

difference of : 540 - 480 = 60 <==

The difference between the total reading times of Noel and Tyra is 60 minutes. Therefore, the correct option is option C.

The difference in minutes between the total time Noel read and Tyra read can be calculated by adding up the individual reading times for each and then finding the difference.

Calculate Noel's total reading time: 90 minutes/day * 6 days = 540 minutes.Calculate Tyra's total reading time: 60 minutes/day * 8 days = 480 minutes.Find the difference: 540 minutes (Noel) - 480 minutes (Tyra) = 60 minutes.

The table shows how an elevator 500 feet above the ground is descending at a steady rate. Which equation represents the height, h(t), of the elevator in feet, as a function of t, the number of seconds during which it has been descending? h(t) = 5t + 500 h(t) = 5t – 500 h(t) = –5t + 500 h(t) = –5t – 500

Answers

This is the concept of algebra, given that the elevator is 500ft above the ground and it is descending at a steady rate of 5ft/sec. Then height h, at time t of the elevator movement can be modeled by the equation:
h(t)=-5t+500.
The correct answer is h(t)=-5t+500

The ratio of the length of an airplane wing to its width is 9 to 1. If the length of a wing is 40.4 ​meters, how wide must it​ be?

Answers

[tex]\bf \textit{ratio of length to width 9:1}\implies \cfrac{length}{width}=\cfrac{9}{1}\implies \cfrac{40.4}{w}=\cfrac{9}{1}[/tex]

solve for "w".

answer this plz


14 students are surveyed about the clothes they are wearing.

8 students are wearing a t-shirt.
2 students aren't wearing jeans or a t-shirt.
3 students are wearing jeans and a t-shirt.

How many students are wearing jeans, but not a t-shirt?

2

3

4

5

Answers

The Correct Answer is B: 3 . Hope This Helps!

Answer:

its

Step-by-step explanation:

The points A(12,7)A12,7, B(12,-3)B12,-3, C(-2,-3)C-2,-3, and D(-2,7)D-2,7 form rectangle ABCDABCD. Which point is halfway between AA and BB?

Answers

To find the midpoint of line segment AB, we find the total distance for both x and y  coordinates and then divide each answer by 2.

A (12, 7)
B (12, -3)

Mid point ([tex] \frac{12+12}{2} [/tex], [tex] \frac{7+-3}{2} [/tex])
Mid point ([tex] \frac{24}{2} [/tex], [tex] \frac{4}{2} [/tex]}
Mid point (12, 2)


The histogram shows the duration, in minutes, of movies in theaters.



What relationship between the median and mean is shown by the histogram?


A) The mean is less than the median.

B) The median is less than the mean.

C) The mean is equal to the median.

D) The median and mean cannot be compared from a histogram.

Answers

A histogram is a type of bar graph that presents the frequency of your data. In this problem, the histogram shows the frequency of movies (y-axis) with respect to the minutes of their duration (x-axis). Example, there are 2 movies that have a duration of 84-91 minutes, 4 movies having a duration of 91-98 minutes, and so on and so forth.

The mean of these data is (2+4+5+4+3+3+2+2)/8 = 3.125
The median is the middle data when the frequency is arranged from least to greatest. Thus, the median in the data set 2, 2, 2, 3, 3, 4, 4, 5 is 3. Therefore, the mean is greater than the median. 

The answer is: the median is less than the mean
mean is equal to median.

A ship traveled for a total of 72 miles over the course of 6 hours. Heading south, the ship traveled at an average speed of 13 miles per hour, and heading east, it traveled at an average speed of 10 miles per hour. For how many hours was the ahi heading east?

Answers

recall your d = rt, distance = rate * time

the rate going south is 13, the rate going east is 10

it took a total amount of 6hours and 72miles for the whole travel

so.. if going say hmmm South, it covered a distance of "d", then going East it covered a distance of the slack from 72 and "d", it covered "72 - d" miles

so, if going South it took "t" hours, then going East it took the slack from 6 and "t", or "6 - t" hours

thus      [tex]\bf \begin{array}{lccclll} &distance&rate&time\\ &-----&-----&-----\\ South&d&13&t\\ East&72-d&10&6-t \end{array} \\\\\\ \begin{cases} \boxed{d}=13t\\ 72-d=10(6-t)\\ ----------\\ 72-\boxed{13t}=10(6-t) \end{cases}[/tex]

solve for "t"

so, it travelled East for 6-t hours

Which expression is the greatest common factor (GCF) of the terms of trinomial 12x^7y^9 + 6x^4y^7 - 10x^3y^5

Answers

The greatest common factor is 2. 2x^3y^5

Answer:  2.   [tex]\mathbf{2x^3y^5}[/tex]

Step-by-step explanation:

Greatest common factor of any two or more expression is the largest common expression that divides them.

The given expression : [tex]12x^7y^9 + 6x^4y^7 - 10x^3y^5[/tex]

Term 1 : [tex]12x^7y^9[/tex]

Term 2 : [tex]6x^4y^7[/tex]

Term 3: [tex]- 10x^3y^5[/tex]

Lowest power of x = 3

Thus  , The highest common power of x = [tex]x^3[/tex]   (i)

Lowest power of y = 5

The highest  common power of y =[tex]y^5[/tex] (ii)

Greatest common factor of 12, 6 , -10= 2  [Because 2 is the largest number that divides all of them]   (iii)

From (i) , (ii) , (iii) , we have

Greatest common expression : [tex]2x^3y^5[/tex]

Hence, the correct answer is 2. [tex]\mathbf{2x^3y^5}[/tex]

for the function y=-2+5sin(pi/12)(x-2)), what is the minimum value

Answers

Assuming the function is

[tex]y=-2+5\sin\left(\dfrac\pi{12}(x-2)\right)[/tex]

recall that [tex]-1\le\sin x\le1[/tex], which means

[tex]-1\le\sin\left(\dfrac\pi{12}(x-2)\right)\le1[/tex]
[tex]\implies-5\le5\sin\left(\dfrac\pi{12}(x-2)\right)\le5[/tex]
[tex]\implies-7\le-2+5\sin\left(\dfrac\pi{12}(x-2)\right)\le3[/tex]

and so the minimum value is -7.

Answer:

-7

Step-by-step explanation:

We are given that   a function

[tex]y=-2+5 sin(\frac{\pi}{12}(x-2))[/tex]

We have to find the minimum value of y.

We know that range of sin x is [-1,1].

[tex]-1\leq sin(\frac{\pi}{12}(x-2))\leq 1[/tex]

[tex]-5\leq 5sin(\frac{\pi}{12}(x-2))\leq 5[/tex]

[tex]-5-2\leq -2+5sin(\frac{\pi}{12}(x-2))\leq 5-2[/tex]

[tex]-7\leq -2+5sin(\frac{\pi}{12}(x-2))\leq 3[/tex]

[tex]-7\leq y\leq 3[/tex]

Maximum value of y=3

Minimum value of y=-7

Hence, the minimum value of given function =-7

How many solutions to 15x+11=8x

Answers

To get the number of solutions in the equation given we shall be required to solve the equation;
15x+11=8x
collecting like terms we get:
11=8x-15x
11=-7x dividing both sides by -7 we get:
x=-7/11
therefore we conclude that the number of solutions is one

At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before the customer adds the toppings. After the cups are filled, customers add as many toppings as they want without the total weight exceeding 7 ounces. Which of the following graphs represents the acceptable weights for the frozen yogurt options?

Answers

The acceptable weight is within the range of [4, 7]

So the answer will be the 3rd graph

Answer: Third graph represents the acceptable weights for the frozen yogurt options.

Step-by-step explanation:

Since we have given that

Number of ounces of frozen yogurt a machine fills cups with before the customer adds the toppings = 4

After the cups are filled, customers add as many toppings as they want without the total weight exceeding 7 ounces.

So, it means the weight should be lie between 4 ounces and 7 ounces.

So, it can be written as [4,7].

4≤ x ≤7, here, x is the weight of frozen yogurt.

So, third graph represents the acceptable weights for the frozen yogurt options.

The data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique. Which of the numbers below is the best measure of the central tendency of the data? {3, 3, 4, 4, 4, 5, 5, 5, 5, 30}

Answers

4,5. im not completely sure tho its just a guess.

PLEASE HELP?? EASY 5 POINTS!!! The two models shown have the same volume. Complete the equation and expression below about the volume of each figure.

Answers

Volume of Model 2:

36 in³ + 12 in³ = 48 in³

Volume of the Blue Prism in Model 1:

48 in³ - 16 in³ = 32 in³

Which sentence best describes the independent and dependent variables in the following problem? The parking garage charges $3 for the first hour of parking and $1.45 for each additional hour.Which sentence best describes the independent and dependent variables in the following problem? The parking garage charges $3 for the first hour of parking and $1.45 for each additional hour.

Answers

The dependent variable is the additional charge applied for each hour whereas the independent variable is the charge to be applied on the first hour

The dependent variable would be $1.45 for each additional hour. The cost depends on every hour so we can't really calculate it unless we have the hours given.

$3 is independent since it's only charged on the first hour. It doesn't depend on any other information.

Which sentence best describes the independent and dependent variables in the following problem? The parking garage charges $3 for the first hour of parking and $1.45 for each additional hour.Which sentence best describes the independent and dependent variables in the following problem? The parking garage charges $3 for the first hour of parking and $1.45 for each additional hour.

HELP PLEASE
Evaluate the expression.

r = <7, -3, -7>, v = <4, 6, -5>, w = <-5, -6, -3>

v ⋅ w

a) -41
b) <-20, -36, 15>
c) <-28, 18, -35>
d) -9

Answers

Option b is right answer because v.w means 4 x -5,6 x -6 and -5 x -3.
Note-x means multiply.

Answer:

v . w = <-20, -36, 15>

Step-by-step explanation:

r = <7, -3, -7>, v = <4, 6, -5>, w = <-5, -6, -3>

To find the dot product of vectors we multiply the numbers

We need to multiply v  and w

vectors is in the form of <x,y,z>

Multiply all the x values

4 times -5= -20

6 times -6 = -36

-5 times -3 = 15

So v . w = <-20, -36, 15>

An apartment has 1026 square feet of carpeting. How much is this in square meters? Use the following conversion: 1 square meter is 10.8 square feet.

Answers

The answer to the question would be 95 square meters

Perform the operation and reduce the answer fully.
frac{1}{12}+\frac{5}{9}
​​​

Answers

Let's do away first of the coding texts. The given formula is 1/12 + 5/9. If you want to automatically know the answer, then all you have to do is input this in a calculator and you would immediately get an answer of 23/36. But that would be too easy.

To solve this manually, you must find first the greatest common factor of the denominators. To do this, simply multiply 12×9 = 108. Now, you know that the final answer would have a denominator of 108.

1                 5               [(108/12)*1] + [(108/9)*5]
---      +      ---         =   -----------------------------------
12               9                              108

Now for the numerator, you divide the denominator, 108, to each of the addends, 12 and 9. Then, multiply it with their respective numerators. The answer would then be 69/108. Both numerator and denominator are multiples of 3, so you can simplify them further by diving each with 3. The final answer is 23/36.

How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between x=1 and x=b is equal to 240?

Answers

The Fundamental Theorem of Calculus regarding geometry states that 
[tex] \int\limits^b_a g{(x)} \, dx = F(b)-F(a)[/tex]

Where F is the indefinite integral of [tex]g(x)[/tex]

The first step is to integrate [tex]g(x)[/tex]
[tex] \int\ {4x} \, dx = \frac{4x^{1+1} }{1+1} = \frac{4x^{2} }{2} =2 x^{2} [/tex]

Then substitute the value of [tex]b[/tex] and [tex]a=1[/tex] into [tex] 2x^{2} [/tex]

[tex][2 (b)^{2}]-[2 (1)^{2}] = 240 [/tex]
[tex] 2b^{2} -2=240[/tex]
[tex] 2b^{2}=240+2 [/tex]
[tex] 2b^{2}=242 [/tex]
[tex] b^{2}= \frac{242}{2} [/tex]
[tex] b^{2}=121 [/tex]
[tex]b=11[/tex]

Hence the limit of the area under [tex]g(x)[/tex] is between [tex]a=1[/tex] and [tex]b=11[/tex]

Write out the form of the partial fraction decomposition of the function (see example). do not determine the numerical values of the coefficients. (3x + 1) / (x + 1)^3(x^2 + 8)^2

Answers

[tex]\dfrac{3x+1}{(x+1)^3(x^2+8)^2}[/tex]

can be expanded as

[tex]\dfrac a{x+1}+\dfrac b{(x+1)^2}+\dfrac c{(x+1)^3}+\dfrac{dx+e}{x^2+8}+\dfrac{fx+g}{(x^2+8)^2}[/tex]

Which of the following is not one of the three ways to express ratio A 3/4 B 3:4 C 3 of 4 D 3 to 4

Answers

3 of 4 is not the correct way of writing a ratio.
3 of 4 is an incorrect way of expressing a ratio.
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