Lauren makes an annual contribution of $$1,200$ at the start of each year to her retirement account, which has an average Annual Percentage Rate $($APR$)$ of $3\mathrm{.}5\%$ and is compounded yearly. What will Lauren's account balance be after making these contributions for a period of $5$ years?

$L(5)=1,200(1+0\mathrm{.}035{)}^5=$$$1425\mathrm{.}22$

$L(5)=1,200(\frac{(1+0\mathrm{.}035{)}^5-1}{0\mathrm{.}035})=$$$6435\mathrm{.}96$

$L(5)=1,200(1+0\mathrm{.}035)(\frac{(1+0\mathrm{.}035{)}^5-1}{0\mathrm{.}035})=$$$6660\mathrm{.}18$

$L(5)=1,2005+1,200(0\mathrm{.}035)(5)=$$$6200$