The answer is D 9.38x10^-4
Answer & Step-by-step explanation:
![1)\\(3x+9)+(2x+4)\qquad\text{combine like terms}\\\\=(3x+2x)+(9+4)\\\\=\boxed{5x+13}\\\\===========================](https://tex.z-dn.net/?f=1%29%5C%5C%283x%2B9%29%2B%282x%2B4%29%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%283x%2B2x%29%2B%289%2B4%29%5C%5C%5C%5C%3D%5Cboxed%7B5x%2B13%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![2)\\(2n+6)+(6n-2)\qquad\text{combine like terms}\\\\=(2n+6n)+(6-2)\\\\=\boxed{8n+4}\\\\===========================](https://tex.z-dn.net/?f=2%29%5C%5C%282n%2B6%29%2B%286n-2%29%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%282n%2B6n%29%2B%286-2%29%5C%5C%5C%5C%3D%5Cboxed%7B8n%2B4%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![3)\\(-3x+9)+(6x-12)\qquad\text{combine like terms}\\\\=(-3x+6x)+(9-12)\\\\=\boxed{3x-3}\\\\===========================](https://tex.z-dn.net/?f=3%29%5C%5C%28-3x%2B9%29%2B%286x-12%29%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%28-3x%2B6x%29%2B%289-12%29%5C%5C%5C%5C%3D%5Cboxed%7B3x-3%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![4)\\\left(\dfrac{1}{4}x+10\right)+\left(\dfrac{1}{2}x-7\right)\qquad\text{combine like terms}\\\\=\left(\dfrac{1}{4}x+\dfrac{1}{2}x\right)+(10-7)\\\\=\left(\dfrac{1}{4}x+\dfrac{1\cdot2}{2\cdot2}x\right)+3\\\\=\left(\dfrac{1}{4}x+\dfrac{2}{4}x\right)+3\\\\=\boxed{\dfrac{3}{4}x+3}\\\\===========================](https://tex.z-dn.net/?f=4%29%5C%5C%5Cleft%28%5Cdfrac%7B1%7D%7B4%7Dx%2B10%5Cright%29%2B%5Cleft%28%5Cdfrac%7B1%7D%7B2%7Dx-7%5Cright%29%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%5Cleft%28%5Cdfrac%7B1%7D%7B4%7Dx%2B%5Cdfrac%7B1%7D%7B2%7Dx%5Cright%29%2B%2810-7%29%5C%5C%5C%5C%3D%5Cleft%28%5Cdfrac%7B1%7D%7B4%7Dx%2B%5Cdfrac%7B1%5Ccdot2%7D%7B2%5Ccdot2%7Dx%5Cright%29%2B3%5C%5C%5C%5C%3D%5Cleft%28%5Cdfrac%7B1%7D%7B4%7Dx%2B%5Cdfrac%7B2%7D%7B4%7Dx%5Cright%29%2B3%5C%5C%5C%5C%3D%5Cboxed%7B%5Cdfrac%7B3%7D%7B4%7Dx%2B3%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![5)\\(3x+5)-(2x+2)\\\\=3x+5-2x-2\qquad\text{combine like terms}\\\\=(3x+2x)+(5-2)\\\\=\boxed{5x+3}\\\\===========================](https://tex.z-dn.net/?f=5%29%5C%5C%283x%2B5%29-%282x%2B2%29%5C%5C%5C%5C%3D3x%2B5-2x-2%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%283x%2B2x%29%2B%285-2%29%5C%5C%5C%5C%3D%5Cboxed%7B5x%2B3%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![6)\\10-8=\boxed{2}\\\\===========================](https://tex.z-dn.net/?f=6%29%5C%5C10-8%3D%5Cboxed%7B2%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![7)\\7.8x-2.5x=\boxed{6.3x}\\\\===========================](https://tex.z-dn.net/?f=7%29%5C%5C7.8x-2.5x%3D%5Cboxed%7B6.3x%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![8)\\(5.8x+10)-(3.4x+8)\\\\=5.8x+10-3.4x-8\qquad\text{combine like terms}\\\\=(5.8x-3.4x)+(10-8)\\\\=\boxed{2.4x+2}\\\\===========================](https://tex.z-dn.net/?f=8%29%5C%5C%285.8x%2B10%29-%283.4x%2B8%29%5C%5C%5C%5C%3D5.8x%2B10-3.4x-8%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%285.8x-3.4x%29%2B%2810-8%29%5C%5C%5C%5C%3D%5Cboxed%7B2.4x%2B2%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![9)\\(8x-2)-(2x+8)\\\\=8x-2-2x-8\qquad\text{combine like terms}\\\\=(8x-2x)+(-2-8)\\\\=\boxed{6x-10}\\\\===========================](https://tex.z-dn.net/?f=9%29%5C%5C%288x-2%29-%282x%2B8%29%5C%5C%5C%5C%3D8x-2-2x-8%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%288x-2x%29%2B%28-2-8%29%5C%5C%5C%5C%3D%5Cboxed%7B6x-10%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![10)\\(-4x-3)-(-4x-3)\\\\=-4x-3-(-4x)-(-3)\\\\=-4x-3+4x+3\qquad\text{combine like terms}\\\\=(-4x+4x)+(-3+3)\\\\=0+0\\\\=\boxed{0}\\\\\text{You could do it shorter.}\\\text{The result will be 0 because we subtract}\\\text{ the same expressions from each other.}](https://tex.z-dn.net/?f=10%29%5C%5C%28-4x-3%29-%28-4x-3%29%5C%5C%5C%5C%3D-4x-3-%28-4x%29-%28-3%29%5C%5C%5C%5C%3D-4x-3%2B4x%2B3%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%28-4x%2B4x%29%2B%28-3%2B3%29%5C%5C%5C%5C%3D0%2B0%5C%5C%5C%5C%3D%5Cboxed%7B0%7D%5C%5C%5C%5C%5Ctext%7BYou%20could%20do%20it%20shorter.%7D%5C%5C%5Ctext%7BThe%20result%20will%20be%200%20because%20we%20subtract%7D%5C%5C%5Ctext%7B%20the%20same%20expressions%20from%20each%20other.%7D)
A = P(1+rt)
A (Future) = 450(2) = 900
P (Principal) = 450
R (Rate) = 14% = .14
T (Time) = Unknown
Create the equation:
900=450(1+.14t)
Distribute the 450:
900=450 + 450(.14t)
Multiply the 450(.14t)
900=450 + 63t
Subtract the 450:
450 = 63t
Divide by 63:
t=7.142857
Answer:
It will take 7.1 years.
Answer:
In solving for the value of x in the equation 1331x^3 - 216 = 0, the steps are shown below:
1331x^3 - 216 = 0
(1331x^3 = 216) / 1331 x^3 = 216/1331
x = cube root (216/1331)
x = 6/11
Therefore, the value of x in the equation is 6/11.