SOLVE THIS ONE: For the situation described in Exercise $5,$ find the present value on

June $1,2022$ of all of the payments made in $2022,2023,$ and $2024$ combined.

Here is exercise $5$ for context: Since June $30,2022$ Smith has been making deposits of $100$ each into a bank account on the last day of each month. For all of $2022$ and $2023$ Smith's account earned nominal interest compounded monthly at an annual rate of $9\%.$ For the first $9$ months of $2024$ the account earned i$^(12)=\mathrm{.}105,$ and since then

the account has been earning i$^(12)=\mathrm{.}12.$

Find the balance in the account on each of the following days:

$($i$)$ January $1,2023,$

$($ii$)$ January $1,2024,$ and

$($ii$)$ February $1,2025$

Find the amount of interest credited on February $28,2025.$

DONT SOLVE #$5,$ ONLY THE FIRST QUESTION ABOVE!