Write an exponential formula of the form f(t)=abt\displaystyle {f{{\left({t}\right)}}}={a}\cdot{b}^{{t}} to represent the following situation. Assume t\displaystyle {t} is in years.

An investment of $12,500, triples every 15 years. Round your values to three decimal places.


f(t)\displaystyle {f{{\left({t}\right)}}}=