Finance question and it’s really getting to me, I’ve tried everything and still no right answer.. help!!!

Question

Jose deposited $2500 into an account with a 2.1% annual interest rate, compound monthly. Assuming that no withdrawals are made, how long will it take for the investment to grow to $3000? Round to the nearest hundredth

Answer 1

3000 = 2500(1+.021/12)^12t

30/25 = 6/5 = 1.2 = (1.00175)^12t

solve for t = years for $2500 to grow to $3000

12t = log1.2 to the base 1.00175

t = (1/12)log1.2 to the base 1.00175

= (1/12)(ln1.2)/ln1.00175

= about 8.689573 years

= 8.69 years rounded to nearest hundredth of a year

= about 8 years 252 days

= about 8 years 8.4 months