Creating a retirement fund Personal Finance Problem To supplement your retirement, you estimate that you need to accumulate $$290,000$ ex deposits into an account paying $11\%$ annual interest.

a$.$ How large must the annual deposits be to create the $$290,000$ fund by the end of $37$ years?

b$.$ If you can afford to deposit only $$530$ per year into the account, how much will you have accumulated in $37$ years?

a$.$ The annual deposits to create the $$290,000$ fund by the end of $37$ years should be $ $($Round to the nearest cent.$)$

b$.$ If you can afford to deposit only $$530$ per year into the account, by the end of $37$ years you will have $ $($Round to the nearest cent.$)$