You would like to have $$5000$ in $3$ years for a special vacation following graduation by making deposits at the end of every six months in an annuity that pays $4\%$ compounded semiannually. Answer parts $($a$)$ and $($b$).$

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a$.$ How much should you deposit at the end of every six months?

In order to have $$5000$ in $3$ years, you should deposit $ at the end of every six months.

$($Do not round until the final answer. Then round up to the nearest dollar.$)$

b$.$ How much of the $$5000$ comes from deposits and how much comes from earnings?

$ of the $$5000$ comes from your deposits and $ comes from interest. $($Use the answer from part a to find this answer. Round to the nearest dollar as needed.$)$