A person wants to know if she can accumulate $$3,000,000$ in her lifetime. She feels she can earn $10\%$ per year for $50$ years if she invests in stocks. Find $($a$)$ the amount of each of the annual payme needed and $($b$)$ the total interest earned.

Click here to view page $1$ of the sinking fund table.

Click here to view page $2$ of the sinking fund table.

$($a$)$ Each periodic payment is approximately $

$($Round to the nearest cent as needed.$)$

$($b$)$ The total interest earned is approximately $

$($Round to the nearest cent as needed.$)$

$\backslash$table$[[$Sinling Fund Table$],[$Period$,1\%,1\frac{1}{2}\%,2\%,2\frac{1}{2}\%,$Interest Rate per Period,$6\%,8\%,10\%$