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Juliette [100K]
2 years ago
14

A factory purchased a machine for $35,000. The value of the machine depreciates at a rate of 10% each year. Complete the followi

ng sentences with the correct values.
The initial value of the machine is _______.
The depreciation rate is ______.
The value of the machine after 4 years, to the nearest dollar, would be _____.
Mathematics
1 answer:
Olegator [25]2 years ago
6 0
Inital value= 35,000
depreciation value= .10 or 10%
value after 4 yrs= 22,963.5
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4(5x + 9)^2 – 33 = -21
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Answer:

x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

Step-by-step explanation by completing the square:

Solve for x over the real numbers:

4 (5 x + 9)^2 - 33 = -21

Add 33 to both sides:

4 (5 x + 9)^2 = 12

Divide both sides by 4:

(5 x + 9)^2 = 3

Take the square root of both sides:

5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)

Subtract 9 from both sides:

5 x = sqrt(3) - 9 or 5 x + 9 = -sqrt(3)

Divide both sides by 5:

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Subtract 9 from both sides:

x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)

Divide both sides by 5:

Answer:  x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5

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