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
There is a bag filled with 4 blue and 5 red marbles.
Elan Coil [88]
4/9 (4 out of 9) because you add them all together then count the number of blue marbles then since you put back the first marble, the dominator is still the same
3 0
3 years ago
LAST QUESTION!! PLEASE HELP!
DIA [1.3K]
7. previously answered in another question, but last choice is correct

8.  yes a diameter is a chord. A chord is any line that connects 2 points on a circle

7 0
3 years ago
A 7-day cruise is being advertised for 849$. What is the unit price per day?
gtnhenbr [62]

Answer:

$ 121.29

Step-by-step explanation:

849 / 7 = 121.28571428571

rounded to 121.29

3 0
3 years ago
Read 2 more answers
What does -11 - -3 equal
ryzh [129]

The answer is -8 because 2 negatives next to each other change to a positive

4 0
3 years ago
Read 2 more answers
You pick a card at random, put it back, and then pick another card at random.
Colt1911 [192]

Answer: i think the correct answer would be 1/3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Write 10³ as a multiplication expression having repeated factors.
    12·2 answers
  • The expression log 3 (x-4) is undefined for all values such that
    10·1 answer
  • 79. Revenue. The revenue (in dollars) from the sale of x infant car seats is given by R1x2 = 60x - 0.025x2 0 ... X ... 2,400 (A)
    7·1 answer
  • How do you graph y= square root 4-x
    9·1 answer
  • Write down the ratio of the total number of medals won by Russia to the total number of medals won by Germany.
    12·1 answer
  • CAN SOMEONE HELP ME ON THIS QUESTION ASAP IT IS DUE IN 10 MORE MINUTES
    11·1 answer
  • A zoo keeper measured the length of two baby alligators. The first one was 12 inches. The other was 5/6 of that length. How long
    14·2 answers
  • Find the Surface Area of the following figure.<br><br> a. 64 <br> b . 32
    14·2 answers
  • John scored an 84% on the last quiz. If there were 25 questions how many did he answer correctly?
    7·2 answers
  • A 31 cm core sample from a large tree is to be divided into five pieces. Two of the pieces will be one length, and the other thr
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!