Frances invested $$4,000$ in her retirement account today. Her account earns an average rate of return of $6\%$ compounded $6$ time$($s$)$ per year. How much will she have in her account after $10$ years?

$($Beginning of Period$)$

A$.$ $$4,418$

B$.$ $$121$

C$.$ $$7,163$

D$.$ $$7,267$