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anzhelika [568]
3 years ago
15

FIND THE LENGTH AND WIDTH OF THE RECTANGLE

Mathematics
2 answers:
insens350 [35]3 years ago
7 0
W = width
3w + 7 = length

Equation: 3w + 7 + w = 75
Combine like terms: 4w + 7 = 75
Subtract 7 to the other side: 4w = 68
Divide both sides by 4: w = 17

Width = 17
Length = 3(17) + 7, so 58
BaLLatris [955]3 years ago
6 0

Answer:

w=7  5/8

l = 29.875

Step-by-step explanation:

We have to use system of equations here

Let l be length and w be width

l = 3w+7

w=l(1/3)-7

We can use the equation:

l+w+l+w = 75

2l+2w = 75

Now we substitute l for what we said above

2(3w+7)+2w=75

6w+14+2w=75

Combine like terms

8w+14=75

Subtract 14 on both sides

8w=61

w=7  5/8

We can use what we know about the relationship of the width and the length to find the length

7  5/8 * 3 + 7 = 29.875

l = 29.875

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Answer:

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

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We want to find t for P=1 and A=2, so we have ...

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__

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  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

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  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

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2 years ago
Find the domain of the following piecewise function.
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Answer:

(2,8]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

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The inequalities are:

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For the inequality to be true, we must have:

2 < x \le 8

In interval notation, the inequality is:

(2,8]

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