reating a retirement fund$$Personal Finance Problem$$To supplement your$$ retirement, you estimate that you need to accumulate $$$$400000$ exactly $35$ years from today. You plan to make$$ equal, end$-$of$-$year deposits into an account paying$6\%$ annual interest.

a$.$How large must the annual deposits be to create the $$$$400000$ fund by the end of $35$years$?$

b$.$If you can afford to deposit only $$$$2770$ per year into the$$ account, how much will you have accumulated in $35$years$?$

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Part $1$

a$.$The annual deposits to create the $$$$400000$ fund by the end of $35$ years should be $$$