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
Theres not enough information to properly answer this.
✩ Answer:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
✩ Step-by-step explanation:
✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*
✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:
- -3 ÷ -3 = Cancels Out
- Turns into:

✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:
- -9 ÷ -3 = 3
- Turns into:

✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:
- Turns into:

✺ Add 2 to both sides:
- Turns into:

✺ Add 3 and 2 to get 5:
- 3 + 2 = 5
- Turns into:

✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:
- 5 ÷ 5 = Cancels Out
- Turns into:

✺ Divide 5 by 5 to get 1:
✺ So your answer is B,
.
(Number line is below.)
Answer:
f(12) = 11
Step-by-step explanation:
To solve this question:
- Substitute x = 12 into the equation: f(12) = 3/4 (12) + 2
- Simplify: 3/4 × 12 = 36/4 which is 9 → f(12) = 9 + 2
Hope this helps!