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]
2 years ago
11

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

Mathematics
1 answer:
Stells [14]2 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 value of 8 in 5.18 of the value of 8 in 5.81
Anastaziya [24]

Answer:

the value of 8 in the first one is 8

in the second one is 80

7 0
3 years ago
In circle O, what is m∠MAJ? °
mr_godi [17]

See the attached figure.

m ∠KAJ = 170° &  m ∠LAM = 80°

We should know that :

m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°

∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)

∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°

But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>

∴ m ∠MAJ + m ∠MAJ = 110°

∴ 2 * m ∠MAJ = 110°

∴ m ∠MAJ = 110° ÷ 2 = 55°


<u>So, the answer is :  m ∠MAJ = 55°</u>

4 0
3 years ago
At noon, a tank contained 10 in. of water. After several hours, it contained 7 in. of water. What is the
Olin [163]
-30% answer is right because it lost 3 inches and 30 percent of 10 is 3.

Answer: -30%
5 0
2 years ago
There was an activity planned outdoors, but it started to rain. They took a vote and 45 people of the 60 people wanted to stay i
Elza [17]

Answer:

15/60×100=25%

Step-by-step explanation:

the number of students wanted to go outside/the whole number of students×100

15/60×100=25%

4 0
3 years ago
Someone please help me
posledela

Answer: first would be 6 the next would be 12 then the next would be 18 and so on just add 6 for each one and for ten pizzas it would be 6*10 and that equals 60 im sure you get it

5 0
2 years ago
Other questions:
  • What is the answers to this
    11·2 answers
  • Solve by looking for x
    10·1 answer
  • (-2,0) and y=x+4<br> Find the slope-intercept form
    12·1 answer
  • a summer camp has 250 campers. there are 32 more boy campers than girl campers. which system of equations represents the situati
    5·2 answers
  • An electronics store has 30 of one brand of digital camera in stock. The equation m(c) = 100c gives the amount of money made whe
    5·1 answer
  • Simple percent question!!!!
    14·1 answer
  • What is a sum of 1/2 and 3/10 in simplest from
    15·2 answers
  • Which of the following is the solution to this system of equations?
    10·1 answer
  • What is the solution to the equation below? √ x-5 = x-11
    13·1 answer
  • How many whole numbers are there between 32 and 96?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!