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ss7ja [257]
4 years ago
12

How do you determine whether you are finding a percent of increase or a percent of decrease between two values? Explain.

Mathematics
1 answer:
Slav-nsk [51]4 years ago
3 0

Answer:

Increase:

It will have increase when y>x

so, percentage of increase is

=\frac{y-x}{x}\times 100

Decrease:

It will have decrease when x>y

so, percentage of decrease is

=\frac{x-y}{x}\times 100

Step-by-step explanation:

Let's assume initial value as x

assume final value as y

Increase:

It will have increase when y>x

so, percentage of increase is

=\frac{y-x}{x}\times 100

For example:

Initial value is 40

So, x=40

Final value is 50

so, y=50

now, we can find percentage in increase

=\frac{50-40}{40}\times 100

=25

Decrease:

It will have decrease when x>y

so, percentage of decrease is

=\frac{x-y}{x}\times 100

For example:

Initial value is 50

So, x=50

Final value is 40

so, y=40

now, we can find percentage in decrease

=\frac{50-40}{40}\times 100

=25


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add all of them and divide by 2

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Four machines, each costing $5,700, were purchased for an office. Each machine requires
liubo4ka [24]

The number of months it would take to recover the cost of the machines is 12 months.

<h3> What is the total cost of the machines and the salary of the operators? </h3>

Total cost of the four machines = $5700 x 4 = $22,800

The total salaries of the machine operators in t months = 4t x $1,00 = $4,400t

Total cost = $22,800 +  $4,400t

<h3>What is the amount saved by replacing the 8 clerks in t months? </h3>

($750 x 2t) + ($650 x 3t) + ($950 x 3t)

= $1500t + $1,950t +$2,850t

= $6300t

<h3>In how many months would it take to recover the cost of the machines? </h3>

$22,800 +  $4,400t  =  $6300t

Combine similar terms

$22,800 = $6300t - $4400t

$22,800 = $1900t

Divide both sides by 1900

t = 12 months

To learn more about division, please check: brainly.com/question/194007

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3 years ago
How can I find the length of the base?
garik1379 [7]

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8 0
3 years ago
Measures of an angle and five times it’s complement is 298 what is the measure of the angle
Marianna [84]
Complementary angles add up to 90<span>°, therefore, let's say the angles are "a" and "b".

so the sum of "a" plus " 5 times its complement", that is 5 times "b" is 298, so a + 5b = 298.

now, if a + b = 90, that means b = 90 - a.

therefore

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7 0
3 years ago
Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volun
Tatiana [17]

Answer:

The number of parents who volunteered to bring refreshments is 16.

Step-by-step explanation:

The information provided is:

N = 84

n (S) = 35

n (S ∩ R) = 11

n (R) = 1.5 × n (S' ∪ R')

Compute the value of n (S ∪ R) as follows:

n(S\cup R)=n(S)+n(R)-n (S\cap R)\\\\n(S\cup R)=n(S)+[1.5(N-n(S\cup R)]-n (S\cap R)\\\\n(S\cup R)=n(S)+1.5N-1.5n(S\cup R)-n (S\cap R)\\\\2.5n(S\cup R)=n(S)+1.5N-n (S\cap R)\\\\2.5n(S\cup R)=35+(1.5\times84)-11\\\\2.5n(S\cup R)=150\\\\n(S\cup R)=\frac{150}{2.5}\\\\n(S\cup R)=60

Now compute the value of n (R) as follows:

n (R) = 1.5 \times  n (S' \cup R') \\\\n (R) = 1.5 \times  [N-n (S \cup R)]\\\\n (R) = 1.5 \times  [84-60]\\\\n(R)=16

Thus, the number of parents who volunteered to bring refreshments is 16.

5 0
3 years ago
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