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
astraxan [27]
2 years ago
9

Percent of Change

Mathematics
1 answer:
Amanda [17]2 years ago
3 0

Before we continue, note that "percent increase from 43 to 78" is the same as "the percentage increase from 43 to 78". Furthermore, we will refer to 43 as the initial value and 78 as the final value.

So what exactly are we calculating? The initial value is 43, and then a percent is used to increase the initial value to the final value of 78. We want to calculate what that percent is!

Here are step-by-step instructions showing you how to calculate the percent increase from 43 to 78.

First, we calculate the amount of increase from 43 to 78 by subtracting the initial value from the final value, like this:

78 - 43

= 35

To calculate the percent of any number, you multiply the value (n) by the percent (p) and then divide the product by 100 to get the answer, like this:

(n × p) / 100 = Answer

In our case, we know that the initial value (n) is 43 and that the answer (amount of increase) is 35 to get the final value of 78. Therefore, we fill in what we know in the equation above to get the following equation:

(43 × p) / 100 = 35

Next, we solve the equation above for percent (p) by first multiplying each side by 100 and then dividing both sides by 43 to get percent (p):

(43 × p) / 100 = 35

((43 × p) / 100) × 100 = 35 × 100

43p = 3500

43p / 43 = 3500 / 43

p = 81.3953488372093

Percent Increase ≈ 81.3953

That's all there is to it! The percentage increase from 43 to 78 is 81.3953%. In other words, if you take 81.3953% of 43 and add it to 43, then the sum will be 78.

The step-by-step instructions above were made so we could clearly explain exactly what a percent increase from 43 to 78 means. For future reference, you can use the following percent increase formula to calculate percent increases:

((f - n)/n) × 100 = p

f = Final Value

n = Initial Value

p = Percent Increase

Once again, here is the math and the answer to calculate the percent increase from 43 to 78 using the percent increase formula above:

((f - n)/n) × 100

= ((78 - 43)/43) × 100

= (35/43) × 100

= 0.813953488372093 × 100

≈ 81.3953

You might be interested in
0.45 plus 9x equals 27
oee [108]

Answer:

x = 2.95

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

0.45 plus 9x equals 27

0.45 + 9x = 27

<u>Step 2:  Solve for x</u>

0.45 + 9x - 0.45 = 27 - 0.45

9x / 9 = 26.55 / 9

x = 2.95

Answer:  x = 2.95

7 0
3 years ago
Read 2 more answers
Jody has $40 and needs at least $18.25 to buy the scrapbook. Each sheet of paper costs $0.34. how many sheets of paper can she b
photoshop1234 [79]
<h3><u>Question:</u></h3>

Jody is buying a scrap book and designed paper she has 40 dollars and needs at least 18.25 to buy a scrap book each seet of paper cost 0.34 how may sheets of paper can she buy

<h3><u>Answer:</u></h3>

Jody can buy 63 sheets of paper

<h3><u>Solution:</u></h3>

Jody has 40 dollars

Thus, she can spend less than or equal to 40 dollars

She needs at least 18.25 to buy a scrap book

Each seet of paper cost 0.34

Let "s" be the number of sheets of paper

Then,

18.25+0.34s\leq 40\\\\Subtract\ 18.25\ from\ both\ sides\\\\0.34s \leq 40-18.25\\\\0.34s\leq 21.75\\\\Divide\ both\ sides\ by\ 0.34\\\\s\leq 63.9

Thus Jody can buy 63 sheets of paper

4 0
3 years ago
Audrey is buying a new car for 32,998.00. She plans to make a down payment of 4,200.00. If she's to make a monthly payments of 5
UkoKoshka [18]

<span>This question is an annuity problem with cost of the car = $32,998, the present value of the annuity (PV) is given by the difference between the cost of the car and the down payment = $32,998 - $4,200 = $28,798. The monthly payments (P) = $525 and the number of number of years (n) = 5 years and the number of payments in a year (t) is 12 payments (i.e. monthly) The formula for the present value of an annuity is given by PV = (1 - (1 + r/t)^-nt) / (r/t) 28798 = 525(1 - (1 + r/12)^-(5 x 12)) / (r/12) 28798r / 12 = 525(1 - (1 + r/12)^-60) 28798r / (12 x 525) = 1 - (1 + r/12)^-60 2057r / 450 = 1 - (1 + r/12)^-60 Substituting option A (r = 37% = 0.37) 2057r / 450 = 2057(0.37) / 450 = 761.09 / 450 = 1.691 1 - (1 + r/12)^60 = 1 - (1 + 0.37/12)^-60 = 1 - 0.1617 = 0.8383 Therefore, r is not 37% Substituting option D (r = 3.7% = 0.037) 2057r / 450 = 2057(0.037) / 450 = 76.109 / 450 = 0.1691 1 - (1 + r/12)^60 = 1 - (1 + 0.037/12)^-60 = 1 - 0.8313 = 0.1687 Therefore, r is approximately 3.7%</span>

3 0
3 years ago
2-(3x-4)=2x-9 <br> confused.
timurjin [86]

Answer:

x=3

Step-by-step explanation:

To solve for x in the given equation,follow the steps below.

2-(3x-4)=2x-9

clear bracket

2-3x+4=2x-9

6-3x=2x-9

collect like-terms

2x+3x=6+9

5x=15

divide bothsides by 5

7 0
3 years ago
Read 2 more answers
A<br> B C<br> D E<br> F G<br> H<br> What is the midpoint of AH?
marissa [1.9K]
The answer you are looking for is H
7 0
3 years ago
Other questions:
  • For v=-3i-7j, find the unit vector in the same direction of v, and write your answer as a linear combination of the standard uni
    11·1 answer
  • Triangles SLB and DOG are similar with &lt;S=&lt;D and &lt;L =&lt;O. If SL, LB and SB are 3,4,5 respectively and DO=5 find OG an
    15·1 answer
  • An ostrich can run at a rate of 50 miles in 60 minutes.At this rate,how long would it take an ostrich to run 15 miles?
    13·1 answer
  • How do we do order of operations
    14·2 answers
  • What is the description of angle 4 as it relates to the situation below?
    10·2 answers
  • For which of the following increasing functions f does (f-1)'(20) = 1/5
    10·1 answer
  • Select the correct answer.​
    7·1 answer
  • Evaluate –9x - 8<br> When x = -4
    5·2 answers
  • If v = u + 3t find v when u = −12 and t = 3<br> 1. -3<br> 2. -2<br> 3. 8<br> 4. -4
    12·2 answers
  • Need help with Aleks! If you answer=large point reward
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!