In 5 years, the investment will be worth 5000(1 + 0.12)^5 + 5000(1 + 0.02/2)^(5 * 2) = 5000(1.12)^5 + 5000(1.01)^10 = 8811.71 + 5523.11 = $14,334.82
Answer with Step-by-step explanation:
We are given that a function ![f(x)=\sqrt{x+9}-3](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7Bx%2B9%7D-3)
Domain of f(x)=[-9,
)
The inverse of given function ![f^{-1}(x)=x^2+6x](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3Dx%5E2%2B6x)
a.We have to find the domain of ![f^{-1}(x)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29)
We know that domain of f(x) is convert into range of
and range of f(x) is convert into domain of ![f^{-1}(x)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29)
If we substitute x=-9 in the given function then we get
![f(x)=\sqrt{-9+9}-3=-3](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7B-9%2B9%7D-3%3D-3)
Therefore, range of f(x) =[-3,
)
Domain of ![f^{-1}(x)=[-3,[tex]\infty)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5B-3%2C%5Btex%5D%5Cinfty%29)
b.Range of f(x) is restricted .Therefore, domain of
must be restricted because range of f(x) is converted into domain of
and range of f(x) is restricted.
The minimum value of y=x^2+32x+273 is (-16,17)
Answer:
70%
Step-by-step explanation:
42/60= 0.7 = 7/10 = 70%