Amy is now $($year $0)25$ years old and planning for her retirement at age $65.$ She would like to have $$2$ million for her retirement by then. She will make her first deposit in her retirement savings account next year $($year $1)$ and continue until her last deposit at age $65($year $40).$ All deposits are made on the last day of the year. Amy expects her income to increase at an annual rate of $3\mathrm{.}03\%($nominal$)$ and thus will increase her savings at the same rate. Her savings will earn an annual return of $6\mathrm{.}06\%($nominal$).$

Use the above information to answer questions $($A$)($C$).$

What should be Amy's first deposit to achieve her goal for the retirement savings account?