To supplement your$$ retirement, you estimate that you need to accumulate $$$$390,000$ exactly $35$ years from today. You plan to make$$ equal, end$-$of$-$year deposits into an account paying $7\%$ annual interest.

a$.$How large must the annual deposits be to create the $$$$390,000$ fund by the end of $35$years$?$

b$.$If you can afford to deposit only $$$$2,220$ per year into the$$ account, how much will you have accumulated in $35$years$?$