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Hatshy [7]
2 years ago
9

Selina and three of her classmates each wrote out the steps for finding an approximate percent change. They all agreed on the fi

rst and fourth step:
1. Find the positive difference between the original number and the new number.
2. ________________________
3. ________________________
4. Round the answer if necessary.

They did not agree on steps 2 and 3. Which instructions are correct for steps 2 and 3?
Mathematics
2 answers:
Naddik [55]2 years ago
5 0

Answer: 2. Divide the difference by the original number.

3. Multiply it by 100.

Step-by-step explanation:

Since when we find the percentage change in a number then we follow the following steps,

1. find the difference between the new number and the original number.

2. divide the difference by the original number.

3. Multiply it by 100.

4.Round the answer if necessary.

We can understand it with help of the below example.

If a number 25 changes to 75.

Then the percentage change in 25 = \frac{75-25}{25} \times 100=\frac{50}{25}\times 100 = 200%

kotegsom [21]2 years ago
3 0
Step 2 is divide the difference between the original number and the new number by the original number. you will get a decimal.

step 3 convert what you got from step 2 to a percent by multiplying it by 100 and adding %
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A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year
Roman55 [17]

Answer:

The required equation is y = 18(1.15)^x.

Step-by-step explanation:

Consider the provided information.

The Initial value of poster = $ 18

After 1 year amount of increase = $ 20.70

With the rate of 15% = 0.15

Let future value is y and the number of years be x.

y = 18(1.15)^x

Now verify this by substituting x=1 in above equation.

y = 18(1.15)^1=20.7

Which is true.

Hence, the required equation is y = 18(1.15)^x.

7 0
2 years ago
Read 2 more answers
The Green family is a family of six people. They have used 4,885.78 gallons of water so far this month. They cannot exceed 9,750
prohojiy [21]

Answer:

The inequality is  6x+4,885.78\leq 9,750.05

x\leq 810.71\ gal

Step-by-step explanation:

Let

x -----> amount of water that can be used by only one family member for the rest of the month

we know that

6x+4,885.78\leq 9,750.05

Solve for x

Subtract 4,885.78 both sides

6x\leq 9,750.05-4,885.78

6x\leq 4,864.27

Divide by 6 both sides

x\leq 4,864.27/6

x\leq 810.71\ gal

3 0
2 years ago
Read 2 more answers
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

5 0
1 year ago
Read 2 more answers
A referendum failed by a vote of 36 No's and 24 Yes's. To make a pie chart of this result, what is the lesser measure in degrees
Daniel [21]
From the given number of people who voted Yes and No to the referendum, there are 60 people all in all. The fewer of which is 24 which voted as Yes. If we are to construct a pie chart and calculate the measure of the smaller angle, we take the ratio of 24 and 60 and multiply it to 360. 
      
                       measure of angle ACB = (24/60)(360)
                         measure of angle ACB = 144°

Thus, the angle measure 144°. 
3 0
2 years ago
ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′. Select the option that completes the statement: The tr
Angelina_Jolie [31]

Answer:

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

Step-by-step explanation:

we know that

If two figures are similar, then their corresponding angles are congruent and their corresponding sides are proportional. The ratio of its corresponding sides is called the scale factor

An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.

In this problem ΔABC and ΔA′B′C′ are similar

therefore

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

6 0
2 years ago
Read 2 more answers
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