The price of a washing machine is reduced by 20% for a sale.
Afterwards, the sale price is increased by 30%.

Joachim says

The washing machine is now 10% more expensive than before the sale.

Explain Joachim’s error and work out the correct percentage change in the price of the washing machine from before the sale to after the sale

Answers

Answer 1

Answer:

1) Joachim's error is in applying the 30% increase to the initial price of the washing machine, 'x', rather than the reduced price of the washing machine for the sale, which is 0.8·x

2) The correct percentage change in price is 4%

Step-by-step explanation:

The price of the washing machine has the following parameters;

The percentage reduction of the price of the washing machine for a sale = 20%

The percentage by which the price is increased afterwards = 30%

Let 'x' represent the initial selling price of the washing machine before the price decrease, and let 'P' represent the sale price after the price increase, we have;

The price after the 20% reduction = x - 20% × x = x - (20/100) × x = 0.8·x

The price after the 30% increase after the sale = 0.8·x + 30% × 0.8·x = 0.8·x + 30/100 × 0.8×x = 0.8·x + 0.3 × 0.8·x = 1.04·x = x + 0.04·x = x + (4/100) × x = x + 4% × x

Therefore, Joachim's error is in applying the 30% increase to the initial price of the washing machine, 'x', rather than the reduced price of the washing machine for the sale, which is 0.8·x

2) The percentage change in the price after the sale is given as follows;

Price of the washing machine after the sale, P = 1.04·x = (104/100) × x = 104% × x

∴ P = 100%x + 4%x = (100/100)·x + 4%x = x + 4%

The percentage change in price = P - x = x + 4% - x = 4%

The correct percentage change in price = 4%


Related Questions

Last week, Naomi set a new personal record for running the mile. She beat her previous record by 14 seconds. The time change from her previous record can be represented by.____
zero
a positive rational number
a negative rational number


brainlyist for the correct answer

.

Answers

Answer:

a negative rational number

Step-by-step explanation:

I'm pretty positive this is the answer, but its worded strange in my opinion

A 64-ounce container of sports juice costs $6.50. A 48-ounce container of the same juice costs $4.25. Which juice container is the better buy.

Answers

Answer:

The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Step-by-step explanation:

In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:

64-ounce container: 6.50/64=0.10

48-ounce container: 4.25/48=0.08

According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

(-2) + (-4) =
5 7

(9) + (-4) =
10 9
me ayudan? :c

Answers

Answer:

I'm not sure what you're asking. But (-2) + (-4) = -6, and 9 + (-4) = 5

Step-by-step explanation:

-2- 4 = -6

9 - 4 = 5

can someone please help ​

Answers

Answer:

C

Step-by-step explanation:

We can use the pythagorean theorem (A^2 + B^2 = C^2) To solve this question.

For answer A, we add 6^2 (36) and 8^2(64) to get 10^2 (100). This is a right triangle.

For question B, we add [tex]\sqrt{3}[/tex] ^2 (3) and [tex]\sqrt{8}[/tex]^2 (8) to get [tex]\sqrt{11}[/tex]. This is a right triangle.

For question C, we add 3^2 and 5^2 to get [tex]\sqrt{34}[/tex]. This is not a right triangle.

MULTIPLE CHOICE: Choose the BEST ANSWER. The equation C = 5n represents the cost “C” in dollars for “n” caps that advertise the walkathon. Which of the following ordered pairs could represent a number of caps and the cost for that number of caps, (n, C)?
A. (0 , 5)
B. (3 , 15)
C. (15 , 60)
D. (5 , 1)

Answers

Answer:

c

Step-by-step explanation:

Find the product of (-94) and 47.

Answers

Answer:

I think it's -4418

5n+3=18
Please help with an explanation as well​

Answers

Answer:

n=3

Step-by-step explanation:

5n+3=18

subtract 3 from both sides

5n=15

divide by 5 on both sides

n=3

Answer:

n=3

Step-by-step explanation:

step 1- subtract 3 to both sides

+3-3=0    18-3=15

5n=15

step 2- divide both sides by 5

5÷5=1       15÷5=3

step 3- check answer by plugging in for n

5(3)+3=18

15+3=18

18=18

Hope this helps!

Simplify the expression -(6 - 4p)

Answers

Hey there!

The answer to your question is [tex]-6+4p[/tex]

Given:

[tex]-(6-4p)[/tex]

First, we distribute the negative sign to both terms ([tex]6[/tex] [tex]and[/tex] [tex]-4p[/tex]) This would make the [tex]6[/tex] negative and the [tex]-4p[/tex] positive, so we have:

[tex]-6[/tex] [tex]and[/tex] [tex]4p[/tex]

Add them together and we get:

[tex]-6+4p[/tex]

Have a nice day!

please someone help me, will give brainily

Answers

Answer:

sorry I don't know sis ☹️

Inner square
Area=100 units
Side length=10 units

Outer square
Area=196 units
Side length=14 units

Factor each expression using the greatest common factor. 8x - 28; 12x + 15

Answers

Answer:

Step-by-step explanation:

8x -28 = 4(x - 28)

12x + 15 = 3(4x + 5)

What is the factored form of this polynomial? 2x^4 + 2x^3 - x^2 - x

Answers

x ( x + 1 ) (2x^2 - 1)

4n+1=25
Please help with an explanation ​

Answers

Answer:

n = 6

Step-by-step explanation:

To isolate n, subtract 1 from both sides:

4n + 1 = 25

4n = 24

Then divide by 4 on both sides:

4n = 24

n = 6

Hope this helped :)

Answer:

6

Step-by-step explanation:

4n+1= 25

or,4n= 25- 1

or,4n=24

or,n=24/4

so n= 6

Find X and Y
I need help plz ASAP

Answers

Answer:

x=5.657 y=5.657

Step-by-step explanation:

Charlotte has 3 beads. She has 8 more red beads than blue beads?


Answers

Answer:

The fourth one

Step-by-step explanation:

Answer:

n+8n+30 where n is the number of red beads

Step-by-step explanation:

How can you use the DISTRIBUTIVE PROPERTY solve the equation: 3(x-4) = 24 ? *

Answers

By using the Distributive Property, you would multiply 3 into the parenthesis (3 · x and 3 · -4)

3(x - 4) = 24

3x - 12 = 24

Then, you would solve like any normal one-step equation.

3x - 12 = 24

     +12   +12

__________

3x      36

__  =  __

3        3

x = 12, which is your final solution.

If you need any further explanations, please ask me :)

Answer:

3(x - 4) = 24 This is the normal equation.

3x - 12 = 24 Next, use the distributive property and multiply everything in the parentheses by the number on the right of the parentheses, which in this case is 3. 3 times x is 3x, and remember to use any symbols to the left of the numbers and use as if it was a negative. 3 times -4 -12. Get rid of the parentheses and replace with the new numbers, which are 3x and -12.

3x = 36  I think you are solving for X so that's what i'm doing.

x = 12    

The Hendricksons are in charge of bringing treats for 50 football players. They brought 3 coolers of popsicles and 2 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat. Which statement best predicts how many players will get a popsicle?

Answers

3/5 of the players (30 players) will get a popsicle.

There are 5 coolers in total. There are 3 coolers of popsicles, which means 3/5 of the coolers are popsicle coolers.

To find out how many football players will get a popsicle, multiply the amount of football players (50) by the chance they will pick a popsicle cooler (3/5).

50 x 3/5 = 30 football players

Answer:

There will be close to 30 football players but probably not exactly 30 football players who get a popsicle.

Step-by-step explanation:

Its correct on Khan Academy

Which system of equations has no solutions? y - ​

Answers

the second one on the top right

Factor completely. x^2−11x+24

Answers

Answer:

(x-3)*(x-8)

Step-by-step explanation:

x^2-11x+24=(x-3)*(x-8)

Someone help please and make sure it’s right :)

Answers

The answer would be 8

i need help asap!!!!

Answers

Answer:

it's A

Step-by-step explanation:

just did it made 80

Answer:

heyy hello how r u? I hope u r fine

What is 46x15?? Thank you so much!

Answers

Answer:

i think its a uhhh i think its a carrot..

Step-by-step explanation:

suppose that 17% of people have dogs. If two prople are randomly chosen, what is the probability that they both have a dog?​

Answers

Answer:

8.5%

Step-by-step explanation:

.17/2 = 0.085 or 8.5%

Answer:

I think it may be 8.5%, I could be wrong.

Step-by-step explanation:

2 people out of 100% are chosen and 17% have dogs

How many factors does (2x + 4)(x - 3)(7x - 5) have?

Answers

Answer:

3

Step-by-step explanation:

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

The factors are the terms inside the parentheses

2x+4 is a factor

x-3 is a factor

7x-5 is a factor

2
each in the parenthesis is a factor

HURRY I WILL CASHAPP g(n) = -2n - 4
h(n.) = 4n + 5
Find (goh)(3)
A) -38 B) 42 C) -35 D)13

Answers

Answer:

rly? the answers (C) -35

Step-by-step explanation:

Write the slope-intercept form of the equation for the line given the slope and y-intercept (equation: y=mx+b) Slope = 5, y-intercept = 2

Answers

Answer:

y=5x+2

Step-by-step explanation:

Slope formula:

y=mx+b

- m stands for slope

- b stands for y intercept.

Plug the information in:

y=5x+2

Your brother is your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Wnte and solve an equation to
find your age a
An equation is
= 10

Answers

Equation: 3x+6 = 10

Solution: You are 12 years old

please help, this is due in a few minutes and i’ll be giving points and brainlest, thank you so much !!

Answers

Answer:

b

Step-by-step explanation:

Write the equation in standard form using integers.
y = - 2/3x -5
The equation in standard form is

Answers

The Answer is: 2x+3y=-15

someone pls help tysm if you do<33

Answers

Answer:

z = 15

Step-by-step explanation:

(I quit brainly because, they deleted 1000+ answers from my account....) however if I want to see answers than I think I have to answer some questions so I'll answer this one.

First we know that y would be 180.

Therefore CD=90

y-cd=90

90=5z+z

90=6z

90=6(15)

90=90

or

90=5z+z

90=6z

/6    /6

15 = z

z = 15

Which of the following graphs could represent the volume of water in a cylinder as a
function of its height? Explain your reasoning.

Answers

Answer:

It is A

Step-by-step explanation:

It starts from origin

The first graph represent the volume of water in a cylinder as a

function of its height.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The first graph with a straight line passing through the origin could represent the volume of water in a cylinder as a function of its height.

This is because the formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.

If we keep the radius constant and vary the height, we can see that the volume of the cylinder increases linearly with the height. In other words, the volume is directly proportional to the height.

Since the line passes through the origin, this indicates that when the height is zero, the volume is also zero.

This is consistent with the fact that a cylinder with zero height has zero volume.

Hence, the first graph represent the volume of water in a cylinder as a

function of its height.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

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