X by itself is 1, otherwise it is the number to the left
Answer: 0.18 (18 cents) per ounce
Step-by-step explanation:
2.88/16 = 0.18
In other words, find the inverse of the given function f(x).
1. Replace f(x) with "y." y = 8(x+10)
2. Interchange x and y: x = 8(y+10)
3. Solve this for y: y+10 = x/8, or y = x/8 - 10
-1
4. Replace "y" with "f (x) "
-1 x-80
f (x) = ---------- (Answer)
8
The original functions are: f(n) = 500 and g(n) = [9/10]^(n-1)
A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):
Some terms are:
A1= 500
A2 = 500*[9/10]
A3 = 500*[9/10]^2
A4 = 500*[9/10]^3
....
A11 = 500*[9/10]^10 ≈ 174.339
Answer: the third option, An = 500[9/10]^(n-1); A11 = 174.339