Answer:
$12,740
Step-by-step explanation:
127,400 x .10 = 12,740
10% = 0.10
Answer:
exponential growth
Step-by-step explanation:
the star is getting brighter exponentially, every 10 yrs.
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![\frac{3x}{x - 2} = 7 \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%7D%7Bx%20-%202%7D%20%20%3D%207%20%5C%5C%20)
Multiply sides by ( x - 2 )
![(x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\](https://tex.z-dn.net/?f=%28x%20-%202%29%20%5Ctimes%20%20%5Cfrac%7B3x%7D%7Bx%20-%202%7D%20%20%3D%20%28x%20-%202%29%20%5Ctimes%207%20%5C%5C%20)
Simplification
![3x = 7x - 14](https://tex.z-dn.net/?f=3x%20%3D%207x%20-%2014)
Subtract sides 7x
![- 7x + 3x = - 7x + 7x - 14](https://tex.z-dn.net/?f=%20-%207x%20%2B%203x%20%3D%20%20-%207x%20%2B%207x%20-%2014)
Simplification
![- 4x = - 14](https://tex.z-dn.net/?f=%20-%204x%20%3D%20%20-%2014)
Negatives simpliflies
![4x = 14](https://tex.z-dn.net/?f=4x%20%3D%2014)
Divide sides by 4
![\frac{4x}{4} = \frac{14}{4} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B14%7D%7B4%7D%20%20%5C%5C%20)
![x = \frac{7}{2} \\](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B7%7D%7B2%7D%20%20%5C%5C%20)
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Answer:
396
Step-by-step explanation:
First, find the prime factorization of each number.
44 = 2^2 * 11
36 = 2^2 * 3^2
For the LCM, you need non-common factors and common factors with the larger exponent. Then you multiply together all the factors you use.
2 is a common factor. Both numbers have 2^2, so choose 2^2.
3 is not common. Use 3^2.
11 is not common. Use 11.
LCM = 2^2 * 3^2 * 11 = 396
Do #1- 32x4= 128, #2- 128x4= 512, do you also need to know the fractions? (I think)