Good Day everyone! Kindly give me the formula for finding the original price, discount rate, discount and sale price.


Original price, discount rate, discount and sale price are given but one of them is missing.

Like original price = missing, discount rate = missing, and so on.​

Answers

Answer 1

Explanation:

The relevant relationships are ...

  discount = (discount rate) × (original price)

  (sale price) = (original price) - discount

__

Putting these into one equation gives ...

  (sale price) = (original price) - (discount rate)×(original price)

Combining terms, yields ...

  (sale price) = (original price)×(1 -(discount rate))

This relation can be solved for either of the variables on the right:

  (original price) = (sale price)/(1 -(discount rate))

  (discount rate) = 1 -(sale price)/(original price)

or ...

  (discount rate) = discount/(original price)

Going back to the beginning, you have ...

  discount = (original price) -(sale price)

__

To solve for the missing amount, you can choose the formula for which you have the other amounts. Or, you can start with any of the relations that relate the amounts you have, fill in the given values, and solve for the unknown.

It's not rocket science. You see these calculations almost every time you go to the store.

_____

Additional comments

Here, we have assumed a positive value for discount rate and discount, and that the sale price is less than the original price. This is basically the set of relations that are seen by a retail buyer.

If you are the seller, the relations you typically see are ...

  (cost price) + (markup) = (selling price)

The markup can be expressed as a percentage of either the cost price or the selling price, or it may be based on some other relation (fixed business costs, for example).

And another one is ...

  (markup)/(cost price) = (profit ratio) . . . . often expressed as a percentage

Sometimes the profit is expressed as a fraction of the selling price (business revenue) instead of the cost price.

__

Taxes are added on in the same way that discounts are subtracted:

  (final selling price) = (selling price) + (tax rate)×(selling price)

or

  (final selling price) = (selling price)×(1 +(tax rate))


Related Questions

How do I solve for x?

Answers

X + 36 = 16

16 - 36 = -20

X = -20

Here, the opposite angles of the triangle are equal. If 2 opp. angles in a triangle are equal, then the opposite sides will be equal as well.

So,

16 = x + 36

16 - 36 = x

-20 = x

______

Hope it helps ⚜

Mr. Williams drew the following image on the board and asked his students to write a sequence of steps explaining how to construct a line which passes through point C and is perpendicular to line AB. The work of two students, Elias and Greyson, is shown.

Answers

.shown is, Greyson and Elias, students two.

Answer:

both Elias and Greyson

Step-by-step explanation:

The table shows a function. Is the function linear or nonlinear?

Answers

Answer:

nonlinear

Step-by-step explanation:

consider the equation n=2/5m-30 for what value of m is n equal to 50?

Answers

Answer:

m = 200

Step-by-step explanation:

Substitute n = 50 in the equation

         n = 2/5m - 30

       50 = 2/5m - 30

50 + 30 = 2/5m

       80 = 2/5m

         m = 80 ÷ 2/5

         m = 200

Write the following equations.

Answers

Answer:

Step-by-step explanation:

4.  2x + 1 = 17

5.  x-13 = 94

6.  x/2 = 7

7.  5x = 35

8.  x + 43 = 84

9.  x-18 = 36

10.  x = 8y

11.  x = y - 5

12.  x + (x+1) + (x+2) = 18

13.  x = y + 4

14.  2x + 8 = 24

What is the value of 8.25p + 3.99c, when p=11 and c= 7? *

Answers

Answer:

Your answer is p=3.99;$51.87

2 1/5 liters of water and 1 1/3 liters of juice are used for a team breakfast,
How many liters of drink were used for the breakfast?
Enter your answer as a mixed number in simplest form by filling in the boxos,

Answers

Answer:

3 8/15

Step-by-step explanation:

2 1/5 + 1 1/3 = 3 8/15

One-third of a number b times -2 is less than or equal to -11/6

Answers

Answer:

Step-by-step explanation:

Ignore the 0,0 at the top of the paper but that should be the equation.

Determine the slope of the line. what does it represent about the plant?

Answers

Answer: slope is 2/3

Step-by-step explanation:

Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3 miles due west. Family B leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1° north of due east.

Which family is farther from the marina? Explain your reasoning.

Answers

Answer:

A

Step-by-step explanation:

We can solve this by drawing it out

Family B has part of their north-south direction negated by going 1 degree north of east, because they are going south and then going north. Family A does not do this, and as a result, with all else equal, they go further away.

2) 4x - 4y = -12
x + 4y = -18

Solve by elimination

Answers

[tex]\left \{ {{4x - 4y = -12} \atop {x + 4y = -18}} \right. <=>\left \{ {{5x=-30} \atop {x + 4y = -18} \right. <=> \left \{ {x=-6} \atop {y=-3} \right.[/tex]

ok done. Thank to me :>

I need help on this question

Answers

Answers : A and D

Step - by - step explanation :

tip : when finding constant of proportionality it's always Y divided by X

A = what is 22.5 divided by 3 ?  7.5 ( now multiply 7.5 by the next X [ 4 ] )

what is 7.5 x 4 ?  30 ( and since on the graph it also says 30 then you can assume this one has a proportional relationship )

B = what is 12 divided by 3 ?  4 ( now multiply 4 by the next X [ 5 ] )

what is 4 x 5 ?  20 ( and because the graph says 25 then you know it's NOT a proportional relationship )

C = what is 8.5 divided by 2 ?  4.25 ( now multiply 4.25 by the next X [ 5 ] )

what is 4.25 x 5 ?  21.25 ( and because the graph says 22.5 then you know it's NOT a proportional relationship )

D = what is 10 divided by 2 ?  5 ( now multiply 5 by the next X [ 3 ] )

what is 5 x 3 ?  15 ( and since on the graph it also says 15 then you can assume this one has a proportional relationship )

( sorry it took me so long to write this )

Select the correct answer.

Which expression in factored form is equivalent to this expression?

Answers

what is the expression?

Is 1/-4 the same as -1/-4

Answers

No, 1/–4 is equivalent to – 1/4 whereas for -1/-4 the negatives cancel out, so it would just become 1/4.

after buying one bottle caps for 27.70 richard has 19.15 left how much money did richard have to begin with???

Answers

Answer:

46.85

Step-by-step explanation:

He had $46.85 to begin with, because 27.70 + 19.15 is equal to 46.85

Can someone help me with this problem please!

Answers

Answer:

can you send in a better photo i cannot see it clearly

Step-by-step explanation:

what is10 + 9

i really dont know

can someone help me

Answers

[tex] \huge \green{ \boxed{ANSWER}}[/tex]

[tex]10 \: + \: 9 \: = {\boxed{19}}[/tex]

USE CALCULATOR -_-

[tex] \mathfrak{JazmineChoi}[/tex]

STAN TREASURE

Answer:

19

Step-by-step explanation: 10 +9 = 19

A ream of paper contains 480 sheets. Each sheet is 0.014 cm thick. Find the thickness of the ream of paper.

Answers

Answer:

19.2 cm

Step-by-step explanation:

480×0.014

=19.2

LOOK AT THE IMAGE!!!!!

Answers

Answer:

a. 3/10

b. 1/10

c. 4/10 or 2/5

Step-by-step explanation:

There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.

To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5

A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?

Answers

Answer:

3,052 cubic inches

Step-by-step explanation:

·· A beach ball has a spherical shape

·· Formula to calculate the volume of a sphere is given as:  

In the question, we are given

Diameter = 18 inches

We have to find the radius

Radius = Diameter/2

Radius = 18 inches/2

Radius = 9 inches

The volume of the beach ball =  

= 3,052.08 cubic inches

Approximately to the nearest whole number = 3,052 cubic inches

A bowl is in the shape of a hemisphere (half a sphere) with a diameter of 8 inches. Find the volume of the bowl. Use 3.14 for pi.

Answers

Answer: 267.947 (or 267.95) inches^3

Step-by-step explanation:

The formula for the volume of a sphere is [tex]\frac{4}{3}\pi r^{3}[/tex].

To find your radius (r), divide the diameter of 8 inches by 2. The radius is 4 inches.

Plug in your numbers to the volume equation to get [tex]\frac{4}{3} (3.14)(4^3)[/tex]. The first step is to cube 4 (4*4*4) to get 64. Now your equation is [tex]\frac{4}{3}(3.14)(64)[/tex].

Multiply 3.14 and 64 to get 200.96. The equation is now [tex]\frac{4}{3}(200.96)[/tex] or [tex]\frac{4}{3} * \frac{200.96}{1}[/tex].

Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of [tex]\frac{803.84}{3}[/tex].

Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.

Complete the equation of the line through (-1,6)(−1,6)left parenthesis, minus, 1, comma, 6, right parenthesis and (7,-2)(7,−2)left parenthesis, 7, comma, minus, 2, right parenthesis.

Answers

Answer:

Your answer would be y= -x + 5

Step-by-step explanation:

Hope I helped!

Answer:

-x+5

Step-by-step explanation:

khan told me ;p

100 points !!!!!1 Drag the answers to match the inequality and the situation it represents. c<10 c>10 c<20 c>20

Answers

Hi!

c < 10

This means that c is less than 10. Any number smaller than 10 works, such as 7, -4, 5.6.

c > 10

This means that c is greater than 10. Any number greater than 10 works, such as 12, 58, 10.9.

c < 20

This means that c is less than 20. Any number smaller than 20 works, such as 6, -2, 19.7.

c > 20

This means that c is greater than 20. Any number greater than 20 works, such as 21, 74, 20.5.

Hope this helps! Have a great day :D

Answer:

here are the answers

Step-by-step explanation:

what are some expressions that are equivalent to 3(7x–6).

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{3(7x - 6)}\\\large\rightarrow\textsf{3(7x) + 3(-6)}\\\large\rightarrow\textsf{21x - 18}\\\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{21x - 18}}}\huge\checkmark[/tex]

[tex]\large\textbf{Note: All you had to do is DISTRIBUTE 3 the}\\\large\textbf{WITHIN PARENTHESES. }\large\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the value of x.

Answers

Answer:

x = 19

Step-by-step explanation:

(5x+4)+(x-2)+(3x+7) = 180

5x+4+x-2+3x+7 = 180

9x+9 = 180

9x = 171

x = 171/9

x = 19

X=19 hope this helps

Given −7 is one of the roots of the quadratic equation
(x + k)2 = 16, where k is a constant, find the values of k.

Answers

Answer:

  k = {3, 11}

Step-by-step explanation:

Taking the square root of the given equation, we find ...

  x +k = ±4

For x = -7, this is ...

  -7 +k = ±4

  k = 7 ±4 = {3, 11}

Possible values of k are 3 and 11.

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

Taking square root on the both sides of equation (x + k)² = 16 we get,

[tex]\implies\rm{( {x + k)}^{2} } = 16[/tex]

[tex]\implies\rm{x + k = ± 4}[/tex]

Making two conditions for ± 4 i.e

1) x + k = 4

[tex]\implies\rm{ - 7 + k = 4}[/tex]

[tex]\implies\rm{k = 4 + 7}[/tex]

[tex]\implies\rm{k = 11}[/tex]

2) x + k = -4

[tex]\implies\rm{ - 7 + k = - 4}[/tex]

[tex]\implies\rm{k = - 4 + 7}[/tex]

[tex]\implies\rm{k = 3}[/tex]

Thus the values of k can be either 11 or 3.

A triangle can have the side lengths of: 1, 10, and 10.

O True
O False

Answers

True; a triangle is “tri-“ therefore all it needs is three sides

Answer:

True

Step-by-step explanation:

If you do this on paper, you can make a triangle but it will be close to a line, since the two side lengths are the same and that the last side length is 1.

help pls!! I will mark brainliest!! :(

Answers

Answer:

Three choice

Step-by-step explanation:

I think.

What is the equation of the line that passes through the point (-6, -6) and has a
slope of -1/3?

Answers

Answer:

Step-by-step explanation:

Let's find an equation by starting with the slope intercept form:

y = mx + b

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope, so:

y = -(1/3)x + b

Now we need to find a value for b that will force the line to go through point (-6,-6).  We can determine by putting the point (-6,-6) into the equation and solving for b:

y = -(1/3)x + b

-6 = -(1/3)(-6) + b   [Enter the point (-6,-6]

-6 = 2 + b

b = - 8

The equation becomes y = -(1/3)x - 8.

See the attachment.

You guys are awesome with these questions I'm really struggling with this one p[lease help me out.

Answers

Try 12.

Hope it helps?

Answer:

12

Step-by-step explanation:

12 x 4 = 48

48 + 9 = 57

Other Questions
(50 points) Here are descriptions of four situations in which the volume of water in a tank isa function of time. Match each description to a corresponding graph. Each graphis used only once.Available Responses:Graph 1Graph 2Graph 3Graph 4Situation A: An empty 20-gallon water tank is filled at a constant rate for 3minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.Situation B: A full 10-gallon water tank is drained for 30 seconds, until it is halffull. Afterwards, it gets refilled.Situation C: A 2,000-gallon water tank starts out empty. It is being filled for 5hours, slowly at first, and faster later.Situation D: An empty 100-gallon water tank is filled in 50 minutes. Then, a dogjumps in and splashes around for 10 minutes, letting 7 gallons of water out. Thetank is refilled afterwards. PLS ANSWER THE FOLLOWING QUESTIONI WILL MARK AS BRAINLIST he Shang Dynasty was able to build cities, tombs, canals and other large structures. What does this say about the Shang dynasty?at does this say about the Shang dynasty? X=[-1,+),Y=R,f(x)=y sao cho y^2-2y=xxX A person swims 6.4 meters persecond north while beingpushed by a current movingwest at 2.1 meters per second.What is the magnitude of theswimmer's resultant vector? PLEASE HELP MEH!!!!!!!!!!!!! Beatrice has two coins. The first coin is fair and the second coin is biased. The biased coin comes up heads with probability 2/3 and tails with probability 1/3. Beatrice selects one of the two coins at random and flips the selected coin 4 times. The result is HHTH. What is the probability that the fair coin was selected? Setting plays an important role in The Hobbit. Look closely at the settings of the Mirkwood (where Bilbo and the dwarves encounter the spiders) and Rivendell (home of the Wood-Elves). How do these settings influence or change the behavior of the characters? Use specific examples from the novel to support your response. Which sentence features the vocabulary best suited for a science text?Calculate the sum before performing the next step.Put the events in chronological order.A sinew is tissue that connects muscle to bone.The timeline of the Roman civilization is lengthy. Divide 5.6 by 0.7 the quotient is what ? What is the slope of the function? 10- 5 510 A substance occupies one half of an open container. The atoms of the substance are closely packed but are still ableto slide past each other.What is most likely the phase of the substance?gaso liquidO solidanggasliquid and solidHelpMe please I search this and there was only an asian answer vessels that carry blood away from the heart are called Which part of the computer is responsible for managing memory allocation for all applications A. Word processorB. Operating systemC. Web browserD. Intergrated development environmentI think its B but Im not sure so I want to see if Im right before answering SlopeWhat is the slope of the line through (-7, -2) and (-6.7)?Choose 1 answer: 1) The height, h, in feet of a ball above the ground is given by h = -16t2 + 64t+ 80, where t is the time in seconds. How long does it take the ball to hit the ground? es A) 3 seconds B) 4 seconds 95 seconds D) 6 seconds mom left $5.00 for his 7 children. how much did each child receive a.0.17 b.0.70 c.17 d.71please answer it correctly. what happened to the infinity stones after endgame URGENNTTT PLEASE ILL GIVE 50Take Triangle ABC, A(2,-1), B(1,4) and C(-2,2). Dothe series of mappings to find A'B'C'.First translateit 3 units to the right and 2 units up, next reflectabout the x-axis, and finally rotate 180 degrees. George saves 18% of his total gross weekly earnings from his 2 part-time jobs. He earns $6. 25 per hour from one part-time job and $7. 50 per hour from the other part-time job. George works a total of 40 hours between the two jobs each week. What additional information is needed to determine the amount of his earnings he saves each week?.