In this question give all answers correct to two decimal places.
Mia deposits 4000 Australian dollars (AUD) into a bank account. The bank pays a nominal annual interest rate of 6 \( \% \), compounded semi-annually.
(a) Find the amount of interest that Mia will earn over the next 2.5 years.
Ella also deposits AUD into a bank account. Her bank pays a nominal annual interest rate of \( 4 \% \), compounded monthly. In 2.5 years, the total amount in Ella's account will be 4000 AUD.
(b) Find the amount that Ella deposits in the bank account.