Milly agreed to set aside $$500$ at the beginning of each year for the next $10$ years in an education fund for her only child. The fund pays interest at $3\%$ p$.$a$.$ compounded annually. What will be the balance of the fund at the end of the ten years $($rounded to the nearest dollar$)?$

Question $7$ options:

a$)$

$$5,732$

b$)$

None of the answers included with the question

c$)$

$$6,300$

d$)$

$$5,904$

e$)$

$$7,924$