The nominal value - without discounting the inflation rate - of income was $ 3000.
If the interest rate was 6%, a rule of three is enough to find the value of the original investment.
3000 - 6%
x - 100%
x = 50,000
The value of the investment was $ 50,000
In this case, the inflation rate also requires a simple calculation.
Inflation corroded $ 1000 dollars of income of $ 3000
Therefore the inflation rate will be 1000/3000 = 33.3%
Answer: They are
Step-by-step explanation: the first one you add both terms of x’s and you get 12+4x. The second one you use the distributive property, 4*3+4*x and get 12+4x.
Answer:
If you turn it or flip it over or move it it is essentially the same shape. If you try to stretch the paper or fold it you change what the shape is so it is not a rigid motion. Since the two circles are not the same size then it is not a rigid motion
Answer:
1) They are not inverses
2) They are inverses
Step-by-step explanation:
We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.
<u>1)</u>
<u>Let's find f[g(x)] and simplify.</u>
![f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%5Cfrac%7B1%7D%7B2%7Dg%28x%29%2B%5Cfrac%7B3%7D%7B2%7D)
![f[g(x)]=\frac{1}{2}(4-\frac{3}{2}x)+\frac{3}{2}](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%5Cfrac%7B1%7D%7B2%7D%284-%5Cfrac%7B3%7D%7B2%7Dx%29%2B%5Cfrac%7B3%7D%7B2%7D)
![f[g(x)]=\frac{7}{2}-\frac{3}{4}x](https://tex.z-dn.net/?f=f%5Bg%28x%29%5D%3D%5Cfrac%7B7%7D%7B2%7D-%5Cfrac%7B3%7D%7B4%7Dx)
As f[g(x)] is not equal to x, these functions are not inverses.
2)
<u>Let's find f[g(x)] and simplify.</u>
![f[g(n)]=\frac{-16+(4n+16)}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B-16%2B%284n%2B16%29%7D%7B4%7D)
![f[g(n)]=\frac{-16+4n+16}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B-16%2B4n%2B16%7D%7B4%7D)
![f[g(n)]=\frac{4n}{4}](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3D%5Cfrac%7B4n%7D%7B4%7D)
![f[g(n)]=n](https://tex.z-dn.net/?f=f%5Bg%28n%29%5D%3Dn)
Now, we need to find the other composition function g[f(x)]
<u>Let's find g[f(x)] and simplify.</u>
![g[f(x)]=4(\frac{-16+n}{4})+16](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D4%28%5Cfrac%7B-16%2Bn%7D%7B4%7D%29%2B16)
![g[f(x)]=-16+n+16](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3D-16%2Bn%2B16)
![g[f(x)]=n](https://tex.z-dn.net/?f=g%5Bf%28x%29%5D%3Dn)
Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.
I hope it helps you!
Answer:
1. -3 - 7x 2. - 13x
Step-by-step explanation:
1.
x+5-8x-8
-3 - 7x
2.
6y-6x-7x-6y
-13x
