Answer:
20.9 years
Explanation:
The equation for interested compounded daily is:
[tex]N=N_{0}*(1+\frac{i}{365})^{365*n}[/tex]
Where 'N' is the final value, 'N0' is the initial value deposited, and 'i' is the interest rate, plugging in the given data:
[tex]400=200*(1+\frac{0.033}{365})^{365*n}\\2=1.00009^{(365*n)}\\log(2) = 365*n*log(1.00009)\\n= \frac{log(2)}{365*log(1.00009)}\\n= 20.9[/tex]
It will take 20.9 years for her balance to reach $400
