How long would it take to truple an account with a one-time deposit earning 9% interest compounded two times a year?

Compounded 2 times a year

ok, da equation yo want is


A=future amount
P=amount deposted or amount now
r=rate in decimal form
n=number of times a year compounded
t=time in years

so given
r=9%=0.09
n=2
t=t

and P and A are unknown
wait, we want ending to be triple begining
so A=3P

so



divide both sides by P

take ln of both sides


divide both sides by 2ln(1.045)

use calculator
12.4794≈t

so about 12.5 years