1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iogann1982 [59]
3 years ago
11

What single percentage change is equivalent to a 23% decrease followed by a 16% increase?

Mathematics
1 answer:
Stells [14]3 years ago
7 0
<h3>Answer:  10.68% decrease (choice F)</h3>

==========================================================

Explanation:

A decrease of 23% means that you still retain 77% of the original value. This is because 23% + 77% = 100%. Or you could write it like this: 100% - 23% = 77%. The 77% then converts to the multiplier 0.77

An increase of 16% will involve the multiplier 1.16 in which we can think of it like 1.16 = 1 + 0.16 = 100% + 16%

Now we'll multiply those two decimal values mentioned:

0.77*1.16 = 0.8932

This result is smaller than 1, so we have a percent decrease of some sort. Subtract it from 1 to find the decimal form of the percent decrease

1 - 0.8932 = 0.1068

Lastly, move the decimal point 2 spots to the right:

0.1068 converts to 10.68%

We have a decrease of 10.68% overall when combining the initial 23% decrease followed by the 16% increase.

It turns out the order doesn't matter, and we could do the 16% increase first then the 23% decrease next. The key as to why the order doesn't matter all relies on the fact that multiplication can be done in any order. As you can probably guess, this process can be extended for as many percentage increases and/or decreases that you want.

You might be interested in
The picture below shows a container that Sue uses to freeze water:
Mrac [35]
I think the answer is B if I am correct 18
4 0
3 years ago
Read 2 more answers
Does anyone know anyone who has Angelman or happy puppet syndrome?
ankoles [38]
No i don't but if u need anything else about this syndrome feel free to ask
8 0
3 years ago
The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30​, and the sample statistics
IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

H_a: p

Sample size : n= 1491

The sample proportion of adults smoked a cigarette= \hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31

The test statistic for proportion is given by :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Substitute all the values , we get

z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84

Hence, the value of the test statistic = 0.84

6 0
3 years ago
a trunk is shaped like a rectangular prism and is 4 feet long and 1 and a half feet wide and 2 feet tall. what is the surface ar
Yanka [14]
Height is not measured in surface area as that is a 3D look so it is still LW meaning 4 times 1.5 which is 6
8 0
3 years ago
Find the area of each circle. Round to the nearest tenth if necessary. Use 3.14 for pi
vlada-n [284]
153.94 I believe :) :)
7 0
3 years ago
Other questions:
  • Katlyn bought a new dress for 34.65 if it was on sale for 23% off what was the original price
    14·2 answers
  • If y=15 and x=-9 what is the new value of y
    9·2 answers
  • A car salesman is stringing banners from the top of the roof to a fence pole 20 feet away. The top of the roof is 29 feet from t
    8·1 answer
  • Aiden had saved $22 before he earned $25 mowing a lawn . He then spent $32 on a suitcase . How much money does he have now? Expl
    7·1 answer
  • My allowance has increased $13 a week and is now $42. What was my old allowance?
    10·2 answers
  • Wang Yong owes the bank \$8500$8500dollar sign, 8500. To repay the debt, he paid a fixed amount back to the bank each month. Aft
    6·2 answers
  • 11) It's perimeter
    13·1 answer
  • Can someone help me? I’ll reward points + brainalist
    8·1 answer
  • I'LL MARK YOU BRAINLIST !!
    6·1 answer
  • You have $600,000 saved for retirement. Your account earns 5.5% interest. How much, to the nearest dollar, will you be able to p
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!