The cost of a cd after 6 year is =$ 15.12
Step-by-step explanation:
The present cost of the cd is $11.95 and inflation rate 4%
P = $11.95 , r = 4% and n = 6 years
The cost of a cd after 6 year is =![P (1+\frac{r}{100})^n](https://tex.z-dn.net/?f=P%20%281%2B%5Cfrac%7Br%7D%7B100%7D%29%5En)
=$ ![11.95(1+\frac{4}{100})^6](https://tex.z-dn.net/?f=11.95%281%2B%5Cfrac%7B4%7D%7B100%7D%29%5E6)
=$ 15.12
Answer:
Part 1) ![f(g(x))=3(x^2)+2](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D3%28x%5E2%29%2B2)
Part 2) ![g(f(5))=289](https://tex.z-dn.net/?f=g%28f%285%29%29%3D289)
Step-by-step explanation:
we know that
A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function
we have
![f(x)=3x+2](https://tex.z-dn.net/?f=f%28x%29%3D3x%2B2)
![g(x)=x^{2}](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E%7B2%7D)
Part 1) Determine f(g(x))
To find f(g(x)) substitute the function g(x) as the variable in function f(x)
so
![f(g(x))=3(x^2)+2](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D3%28x%5E2%29%2B2)
Part 2) Determine g(f(x))
To find g(f(x)) substitute the function f(x) as the variable in function g(x)
so
![g(f(x))=(3x+2)^2](https://tex.z-dn.net/?f=g%28f%28x%29%29%3D%283x%2B2%29%5E2)
For x=5
![g(f(5))=(3(5)+2)^2](https://tex.z-dn.net/?f=g%28f%285%29%29%3D%283%285%29%2B2%29%5E2)
![g(f(5))=289](https://tex.z-dn.net/?f=g%28f%285%29%29%3D289)
Answer: 0.75
Step-by-step explanation:
We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.
We now have a triangle with the values of:
x = 4
y =3
h^2= 4^2 + 3^2
h^2 = 16 + 9
h^2 = 25
h = 5
h = 5
Tangent = opposite/adjacent
= y/x
= 3/4
= 0.75
2 pairs of lines that intersect
Area = 299*34 = 10166 ft^2
Cost = 10166 * 11 = $111,826 (answer)