Every $3$ months, Carolyn gets an allowance of $$80$ that she puts into a savings account with a $1\mathrm{.}2\%$ p$.$a$.$ return compounded semi$-$annually. After $6$ years, what is the balance of her savings account? a$.$ $$969\mathrm{.}68$ b$.$ $$999\mathrm{.}52$ c$.$ $$889\mathrm{.}37$ d$.$ $$996\mathrm{.}63$ e$.$ $$975\mathrm{.}98$