slove for how long it takes the initial to double
initial amount 12,500
APR 9%
solve using continuous compounding formula Pe^rt
+36916 25000 = 12500 e^(.09 t) take ln both sides
ln25000 = ln12500 + (.09t)
(ln25000 - ln12500 ) / .09 = t = 7.702 years
