The value of a rare stamp was $$250$ in 1989. The stamp has increased in value by $12\%$ each year.

1. What was the stamp worth in the year 2000?

   Hint (a):

   The stamp is $112\%$ of its value from the previous year.This will happen for $11$ years in a row.

   Answer (a):

   $250·1.12^{11} = $869.64$

2. What is the average value of the stamp from 1989 to 2000?

   Step 1 (b):

   If $f(t)$ represents the value of the stamp as a function of time (the equation you used to solve part (a)):