What single percentage change is equivalent to a 18% increase followed by a 13% decrease?

Answers

Answer 1

Given:

18% increase followed by a 13% decrease.

To find:

The single percentage equivalent to a 18% increase followed by a 13% decrease.

Solution:

Let a number be 100.

If it is increased by 18% then the number becomes

[tex]Number=100+\dfrac{18}{100}\times 100[/tex]

            [tex]=100+18[/tex]

            [tex]=118[/tex]

Then, it is decreased by 13%.

[tex]Number=118-\dfrac{13}{100}\times 118[/tex]

             [tex]=118-15.34[/tex]

             [tex]=102.66[/tex]

New number is 102.66.

Now, the percentage change is

[tex]\%\text{ Change}=\dfrac{\text{New number - Initial number}}{\text{Initial number}}\times 100[/tex]

[tex]\%\text{ Change}=\dfrac{102.66-100}{100}\times 100[/tex]

[tex]\%\text{ Change}=\dfrac{2.66}{100}\times 100[/tex]

[tex]\%\text{ Change}=2.66\%[/tex]

Therefore, the Single percentage change is 2.66%.


Related Questions

NO ONE IS HELPING ME :((((((((

The height, h, of a stomp rocket (propelled by a short blast of air) above the ground after t seconds is given by the equation h(t)=5+100t−16t2. Here is a graph that represents h.
1. What does the 5 in the equation represent?



2. What does 100t in the equation mean in terms of the rocket?



3. Approximately when does the rocket hit the ground?



4. What domain makes sense for the function in this context?

Answers

Answer:

Given equation and the graph of it:

h(t) = 5 + 100t − 16t²

1. What does the 5 in the equation represent?

5 represent a height of the release of the rocket

2. What does 100t in the equation mean in terms of the rocket?

100t is determining the maximum height that the rocket can reach

3. Approximately when does the rocket hit the ground?

As per the graph it is after 6.3 seconds it was launched

4. What domain makes sense for the function in this context?

Domain of the function is:

0 ≤ t ≤ 6.3

This is the time the rocket is in the air until it hits the ground

Answer: it will hit the ground around 6.2 seconds

The domain is 0 ≤ t ≤ 6.3

Find the range of the following graph

Answers

Answer:

-1 < y < 7

Step-by-step explanation:

< and not ≤

because the end points are not included

Based on their own blood types a couple has a 0.75 probability of having a child with type A blood. If the couple has 4 children, what is the probability that they will have 2 children with type A blood?
A. 0.07
B. 0.21
C. 0.56
D. 0.75

Answers

Answer:

B. 0.21

Step-by-step explanation:

https://stattrek.com/online-calculator/binomial.aspx

put in 75% for success rate

4 for the amount of trials because that is the total of kids the couple has

2 for number of successes for how many kids would get Type A blood

once calculated you get.21 or answer B

Long distance phone rate 15 cents per minute. A call cost $1.05. How long was the call

Answers

the call was 7 minutes

Answer:

7

Step-by-step explanation:

$1.05 is 105 cents 105/15=7

Por favor nesesito ayuda con la actividad 2 le doy corona y 20 puntos

Answers

Answer:

-5(x+3) = -5x-15

-5(x+1)+3 = -5x-2

-5(-x-2) = 5x+10

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

-5+(x=3) = x-2

Why is a lame elephant like adding 19 and 4?

Answers

Answer:

I dunno, why?

Step-by-step explanation:

70 POINTS! Please help!

Answers

Answer:

don't know. um

1: diaganol

2: x, q, p

3: y, t, u

5: r

7: t,y

Step-by-step explanation:

Question:

Give two names for the plane?

Name three collinear points?

Name three coplanar points?

Name three points?

Name three lines?

Name one ray?

Name one line segment?

Answer:

Plane XYZ, Plane XZY

The points A , B and C lie on the line m . They are collinear.

The points D , B and E lie on the line n . They are collinear.

There is no line that goes through all three points A , B and D . So, they are not collinear.

The points P , Q , and R lie in the same plane A . They are coplanar .

'Line AB', 'Line BA', 'Line AC'

You drank 50 Lof water on Tuesday but only 30 L of water on Wednesday. What is the percent of change?

Answers

30-50/50
-20/50
-2/5
-40%

you and a friend go to taco bell for lunch. you order four soft tacos and two burritos and your bill totals $11.50. your friend's bill $12.00 for three soft tacos and three burritos. how much do the tacos and burritos cost?​

Answers

Answer:

Answer b = $ 2.25 dollars

             s = $ 1.75 dollars

Please see how to do, it is good to know the answers but if you know how to solve it thats even better!!

Step-by-step explanation:

Let : s = soft tacos

       b = burritos

Step 1: 11.50 = 4s + 2b

           12.00 = 3s +3b

Step 2: Solve using subtraction

12 =3s + 3b

-1 (11.50 = 4s + 2b)  _ times by -1 so you can subtract

-11.50 = -4s -2b      _ once you do this bring the other equation

12.00 = 3s + 3b      _ then subtract/ add

_____________+__

0.50 = -s + b          _ add s to both sides

s + 0.50 = b             _ now you can plug in b into the original equation

12.00 = 3s + 3(s + 0.50)   _distribute the 3 to the s and 0.50

12.00 = 3s + 3s + 1.5          _ add like terms

12.00 = 6s + 1.5                  _ - 1.5 on both sides

-1.5               -1.5

10.5 = 6s                  _ divide by 6 to isolate s

1.75 = s                         _ plug it in to find b

11.5 = 4(1.75) +2b

11.5 = 7 + 2b    _ subtract 7 on both sides

4.5 = 2b         _ divide by 2 on both sides

2.25 = b

Answer b = $ 2.25 dollars

             s = $ 1.75 dollars

3
How many solutions does the system of equations below have?
1
y = 8x +
y = 8x +
fo
7.
Answer:
one solution
no solutions
one solution
Infinitely many
solutions

Answers

Sorry I'm late, But your answer is Infinitely many solutions. Have a good day!

evaluate 2r +1 if r=3

Answers

Answer:

7

Step-by-step explanation:

So, substitute in your 4 for r, 2(3) + 1. Multiply 2 and 3 to get 6 and then add a to get 7. I hope this helps :)

what is 2+2 ?
please help i have no idea!​

Answers

Answer:

4

Step-by-step explanation:

2 plus 2 is 4

Answer:

Many people would said 2+2=4

But since I love to breaks rules 2+2=3

Why? because I said so LOL

Have a good one

The probability of picked a blue morble out of a bag of 50 marbles is 3/25. How Many marbles in the bag are not blue?​

Answers

Answer:

44

Step-by-step explanation:

22/25 = not blue

22 × 2 = 44

Select all ordered pairs that correspond to input-output pairs of the function y = -9x + 3.
(8, 2)
(-33, 4)
O (5, -1)
(6, -51)

Answers

f(x) = -9x + 3

f(8) = -9(8) + 3 = -69 ❌

f(-33) = -9(-33) + 3 = -294 ❌

f(5) = -9(5) + 3 = -42 ❌

f (6) = -9(6) + 3 = -51 ✅

so, the pair is (6, -51)

Please give the explanation and the answer

Answers

Answer:

b

Step-by-step explanation:

25 points. Which problem will graph as shown?

A) 3x - 5 ≥ -14
B) 3x - 5 ≤ -14
C) 3x - 5 > -14
D) 3x - 5 < -14

Answers

Answer:

D

Step-by-step explanation:

We can work backwards.

First, notice that we have an open circle. So, we do not have "or equal to." So, we can ignore A and B.

Our final answer is all values less than -3. So:

[tex]x<-3[/tex]

We can multiply both sides by 3:

[tex]3x<-9[/tex]

And then subtract 5 from both sides:

[tex]3x-5<-14[/tex]

So, the answer that matches this will be D.

Instead of working backwards, you can also just solve each inequality. Since we have an open circle, we only need to solve C and D. If we solve C, we get x > -3, and if we solve D, we get x < -3 (as desired). So, D matches the graph shown.

Please help will mark brainiest

Answers

Answer:

DFE AND FED

Step-by-step explanation:

Answer:
FED and DFE
Reason:

When m>n what is the horizontal asymptote?
O y=0
O y=a/b
O none

Answers

Answer:

a, y = 0

Step-by-step explanation:

when n<m or m>n, the horizontal asymptote is y=0

What is the mathematical
representation of 20P4?

Answers

the answer for 20p4 is c

The mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

We can use combinations for this case,

The Total number of distinguishable things is m.

Here, Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

If the order matters, then each of those choice of k distinct items would be permuted k! times,

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

We have to find the mathematical representation of 20P4.

[tex]^{20}P_4[/tex]

here, m = 20

k = 4

Now substitute;

[tex]^mP_k = \dfrac{m!}{ (m-k)!}\\\\^{20}P_4 = \dfrac{20!}{ (20-4)!}\\\\^{20}P_4 = \dfrac{20!}{ (16)!}\\\\\\^{20}P_4 = \dfrac{20 \times 19 \times 18 \times 17 \times 16!}{ (16)!}\\\\\\^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]

Hence, the mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ2

0.23 or 2.3% which is greater?​

Answers

Answer:

0.23 is greater

Answer:

0.23

Step-by-step explanation:

2.3% = 0.023

So 0.23*100=23% therefore larger than 2.3%

Any questions feel free to ask. Thanks

ahhhhhhhhhhhhhhhhhhhh​

Answers

Answer:

10.2

Step-by-step explanation:

Solve for y.




115°

108°

130°

90°

Answers

Answer:

115, A

Step-by-step explanation:

The formula to find the total interior angles is   ([number of sides] - 2) x 180, so in this case it would be  540, and     if you subtract all the other interior angles you wi ll get y! (90,135,112,and  88)    (please excuse therandom spaces my spacebar isbroken)

The value of y from the figure is 115 degrees

Polygons

The given polygon is a pentagon

The sum of an interior angle of the pentagon is 540 degrees

Taking the sum and equating to 540 will give:

90 + 135 + 112 + y + 88 = 540

y + 425 = 540

y = 540 - 425

y = 115 degres

Hence the value of y from the figure is 115 degrees

Learn more on pentagon here: https://brainly.com/question/21475963

What is the solution to the system of equation?
-4+6y=-18 and y=-2x+21

Answers

Answer:

The answer is (35/3, -7/3)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

~Hoped this helped~

Can someone help me with this??

Answers

It would be a=3 b=3 c=5

Answer:

the second option, a=3 b=3 c=5

Step-by-step explanation:

first I would change them both into an improper fraction:

9/2 divided by 5/4

dividing is the same thing as mulitiplying by the reciprocal of the second number. so you would mulitply 9/2 x 4/5 = 36/10 and then you simplify back to a mixed number 3 6/10, 6/10 can be reduced so the final answer is 3 3/5.

I need answer asap pls​

Answers

Answer: Hey man, go with your guess, you might be wrong you might be correct.

Step-by-step explanation: But I wouldn't pick or because if you're saying or, you're basically asking the question to the original question so I would pick one of the and's

Answer:

b < -7 or b > 7

Step-by-step explanation:

b is surrounded by absolute value bars, which means that whether the value of b is negative or positive, the bars will make it positive. |b| is said to be greater than 7, so the value of b must be:

less than -7 (it can be -8, -9, -10, ...) because the absolute value bars will make it positive.

&

greater than 7 (it can be 8, 9, 10) because it will stay positive anyway.

Therefore, the second answer choice is correct.

I hope this helped! :)

Mary owns 13 shares of a certain stock. Yesterday the value of each share went up by 4 dollars. What was the total change in value of her shares?

Answers

Answer: +52

Step-by-step explanation:

From the question, we are informed that Mary owns 13 shares of a certain stock and that the value of each share went up by 4 dollars.

The total change in value of her shares will be gotten by multiplying the number of shares that Mary has by 4. This will be:

= 13 × 4

= 52

Please need the answer please help will give brainliest

Answers

I think it’s 48 maybe, not sure though

What fraction of 16 is 12?

Answers

Answer:

3/4

Step-by-step explanation:

Which of the following ordered pairs
make this equation true?
y = 5x
B. (-10,-2)
A. (15,-3)
D. (2, 10)
C, (5, 1)

Answers

Answer:

D

Step-by-step explanation:

To solve this you can just plug in the x values into the equation and if the answer is correct the y value should be your answer

For example if we look at D

we can plug in 2 for y=5x and get 10

We can see that the y value in the ordered pair is also 10 making this the correct answer

kind of hard to explain if you have any questions leave a comment

Answer:

D

Step-by-step explanation:

y= 5x

10= 5(2)

10=10

(please help!!)

jane spent $17 for shoes. this was $13 more than twice what she spent for a pen. how much was the pen?

Answers

2 dollars is the correct answer!