Each month Lara invests $100 in an account earning 4% annual interest compounded monthly. a)find the value of her investment after 20 years, assuming she started with a zero balance. b)find the...

Each month Lara invests $100 in an account earning 4% annual interest compounded monthly. a)find the value of her investment after 20 years, assuming    she    started   with a zero balance. b)find the initial balance would she have had to start with if she makes no monthly payment, but the account has the same amount of money as the answer to part(a).