\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Maxime has an Uncle Scrooge coin worth \(\dollar 500\). Each year, the coin's value increases by \(20\pourcent\).
  1. Determine a model for \(C_n\), the value of the coin after \(n\) years.
    \(C_n=\)
  2. Is this an example of exponential growth?
  3. Calculate the estimated value of the coin in 6 years' time.
    \(\dollar\)
    (round to the nearest integer)