Answer:
Can you describe this question
Step-by-step explanation:
Given:
An exponential function
passes through the points (0, 12000) and (2, 3000).
To find:
The values of a and b.
Solution:
We have,
...(i)
It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get



Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get



Taking square root on both sides.

For an exponential function b cannot be negative. So,
.
Therefore, the value of a is 12000 and the value of b is
.
Answer:
Convergent
Step-by-step explanation:
This is an alternating series where bn = 2n / eⁿ. Apply the alternating series test:
lim(n→∞) bn
= lim(n→∞) (2n / eⁿ)
Use L'hopital's rule:
= lim(n→∞) (2 / eⁿ)
= 0
For n ≥ 1, the series is decreasing. 2(n+1) / eⁿ⁺¹ < 2n / eⁿ.
Therefore, the series converges.
Answer:
28.57%
Step-by-step explanation:
Answer: 2/7 in terms of percentage is written as 28.57% approximately.