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disa [49]
2 years ago
8

The perimeter of a square is represented by the expression 32x - 12.8. Draw a square to represent this situation and label its s

ide lengths. Then write three equivalent expressions for the perimeter.

Mathematics
1 answer:
Hoochie [10]2 years ago
3 0

Answer:

Step-by-step explanation:

Given that: The perimeter of a square is: 32x - 12.8

As we all know that, the formula to find the perimeter of a square is:

Sum of the 4 side = 4* length of the side  

=> the length of 1 side: The perimeter of a square  / 4

In this situation, we have length of 1 side side is:

(32x - 12.8) / 4

= 32/4x - 12.8/4

= 8x - 3.2

The 1st equivalent expressions for the perimeter: 4 *(8x - 3.2)

The 2nd equivalent expressions for the perimeter: (8x - 3.2) + (8x - 3.2)  + (8x - 3.2)  + (8x - 3.2)

The 3rd equivalent expressions for the perimeter: 2*(8x - 3.2) + 2*(8x - 3.2)

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Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep
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Answer:$12500 was invested into the account that pays 4.5% annual interest..

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Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

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if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

6 0
2 years ago
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