Answer:
$39,851.25
Step-by-step explanation:
If the sales increase at a rate of 9% per year, this means it will be 109% of the previous year's value since 100% + 9% = 109%
109% in decimal form = 109/100 = 1.09
Therefore, the exponential function is:
, where
is the number of years
So when ,
After 8 years, annual sales = $39,851.25
Answer:
Diverge
Step-by-step explanation:
(a)
1st year:
2nd year:
3rd year:
4th year:
5th year:
(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:
This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule
This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.