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viva [34]
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?
2. Divide the difference by the original number.
3. Multiply the quotient by 100 to change it from a decimal to a percent.
2. Divide the difference by the new number.

3. Multiply the quotient by 100 to change it from a decimal to a percent.
2. Divide the difference by the original number.

3. Multiply the quotient by 10 to change it from a decimal to a percent.
2. Divide the difference by the new number.

3. Multiply the quotient by 10 to change it from a decimal to a percent.
Mathematics
2 answers:
lesya692 [45]2 years ago
8 0

Answer:

2

Step-by-step explanation:

erma4kov [3.2K]2 years ago
5 0

Answer:

it should be, 2. divide the difference by the new number 3.multiply the quotient by 100 to change it from a decimal to a percent

Step-by-step explanation:

Hope I helped :)

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John wants to buy a notebook for $5 and pens that cost $3 each. All prices include sales tax. He has $35. Write and solve an ine
yaroslaw [1]

Answer:

only 10

Step-by-step explanation:

3 0
2 years ago
A teacher decides to purchase a new car and considers two options. Option one is the new Zoomba for $60,000 with an expected dep
kupik [55]

Answer:

She chose Option 2 which is a linear option, because it offers a smaller lose    

in value compared to option 1 which is an exponential option.

The final value for option 2=$32,800

Step-by-step explanation:

Option 1

New Zoomba for 60000 with a depreciation rat of 2%per month for 3 years

Exponential equation;

y=a(1-r)^t

where;

y=future value

a=initial value=60000

r=depreciation rate=2% per month

t=time interval=12×3=36 months

Replacing;

y=60000(1-2/100)^36

y=60000(0.98)^36=28,992.79

The value after 3 years=$28,992.79

Initial value-Final value=(60000-28992.79)=$31007.21

Percentage of initial value lost=((Final value-Initial Value)/(Initial Value))×100

(31007.21/60000)×100=51.68%

Option 2

New starfish for $40,000 with a depreciation of $200 per month for 3 years

Linear equation;

y=a-bt

where;

y=Future value

a=Initial value=$40,000

b=the depreciation amount per time interval=$200 per month for 3 years

t=time interval=(3×12)=36 months

Replacing;

y=40000-(200×36)

y=32,800

Final value=y=$32,800

Initial value-Final value=(40000-32800)=$7200

Percentage of initial value lost=((Final value-Initial Value)/(Initial Value))×100

(7200/40000)×100=18%

Option 1(51.68%)>Option 2(18%) therefor Option 1 loses value at a faster rate than Option 2

She chose Option 2 which is a linear option, because it offers a smaller lose    

in value compared to option 1 which is an exponential option

4 0
2 years ago
Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest compounded semiannually he made
il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

Amount = P(1 + \frac{r}{2} )^{2t}

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle =  $2,900

5.5% is written in the decimal form.

= \frac{5.5}{100}

= 0.055

Time = 1 year

Put in the formula

Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}

Amount = 2900\times (1 + 0.0275 )^{2\times 1}

Amount = 2900\times (1.0275)^{2}

Amount = 2900\times 1.056\ (Approx)

Amount = $ 3062.4 (Approx)

Thus the amount after 1 years is $3062.4 (Approx) .

Now find out the compound interest .

Amount = Principle + Compound interest

Here

Amount = $ 3062.4  

Principle = $2,900

Put in the above

$3062.4   = $2,900 + Compound interest

Compound interest = $3062.4 -  $2,900

Compound interest = $162.4






8 0
2 years ago
Which expressions are equivalent to 5 x minus 15? Select three options. 5 (x + 15) 5 (x minus 3) 4 x + 3 y minus 15 minus 3 y +
Aleksandr [31]

Answer:

B) 5 (x minus 3)

C) 4 x + 3 y minus 15 minus 3 y + x

E) Negative 20 minus 3 x + 5 + 8 x

tep-by-step explanation:

5x minus 15

5x - 15

5(x - 3)

4 x + 3 y minus 15 minus 3 y + x

4x + 3y - 15 - 3y + x

5x - 15

Negative 20 minus 3 x + 5 + 8 x

-20 - 3x + 5 + 8x

5x - 15

6 0
2 years ago
Read 2 more answers
Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i
zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

y\leq 3x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=3x+1

The slope of the solid line is 3

The point (1,3) is  a solution of inequality A (lie in the shaded area of the solution set)

y\geq -x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-x+2

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0
2 years ago
Read 2 more answers
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