because y^3 is raised to the power of two, we will have to multiply the exponents rather than adding them.
By distributing the power of 2, we will get y^2(6).
Because now the exponents are being multiplied, we can just add them to get y^8. The other y has a power of 1, so we'll just add the power of that y as well to get y^9.
summary:
multiply exponents if they are being raised to a power.
add exponents if they are being multiplied, and only add them if they have the same base (in this case, both the bases of the exponents are y, so we can add them)
Answer: yes
Step-by-step explanation:
a dilation is increasing the size, even just by a slight bit. that is where dilating your eyes comes into play, it is making your pupils bigger. so yes, this seems to be a dilation.
Given:
John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.
Total interest in one year = $1230
To find:
The rates of the investments.
Solution:
Let x% be the rate of interest on investment $5000.
Then, (x+4)% is the rate of interest on investment $8000.
Total interest is $1230. So,
![5000\times \dfrac{x}{100}+8000\times \dfrac{x+4}{100}=1230](https://tex.z-dn.net/?f=5000%5Ctimes%20%5Cdfrac%7Bx%7D%7B100%7D%2B8000%5Ctimes%20%5Cdfrac%7Bx%2B4%7D%7B100%7D%3D1230)
![50x+80(x+4)=1230](https://tex.z-dn.net/?f=50x%2B80%28x%2B4%29%3D1230)
![50x+80x+320=1230](https://tex.z-dn.net/?f=50x%2B80x%2B320%3D1230)
![130x=1230-320](https://tex.z-dn.net/?f=130x%3D1230-320)
![130x=910](https://tex.z-dn.net/?f=130x%3D910)
Divide both sides by 130.
![x=\dfrac{910}{130}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B910%7D%7B130%7D)
![x=7](https://tex.z-dn.net/?f=x%3D7)
Now,
![x\%=7\%](https://tex.z-dn.net/?f=x%5C%25%3D7%5C%25)
![(x+4)\%=(7+4)\%=11\%](https://tex.z-dn.net/?f=%28x%2B4%29%5C%25%3D%287%2B4%29%5C%25%3D11%5C%25)
Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.
53 x 53 - 32 x 32 / 61 x 61 - 44 x 44
2809 - 1024 / 3721 - 1936
Then subtract
1785 / 1785 = 1
The answer is 1. So the fraction is a whole number
Hope this helps