You want to invest $$800$ at your local bank for $12$ years. The banker gives you two investment options. Option $1$: You can invest in a special account that pays you $7\mathrm{.}0\%$ interest each year. However, the interest in this account will not compound. Instead, each year the interest payment is put into a special account which collects no further interest and cannot be reinvested anywhere until the end of the $12$ years. Option $2$: You can invest in a regular bank account that pays you $5\mathrm{.}8\%$ interest each year with compounding interest. That is$,$ each year the interest you earn gets deposited in your bank account and earns interest until the end of the $12$ years.Which option should you select and why?

Question $15$ options:

Select Option $1$: it earns you $$115\mathrm{.}20$ more than Option $2.$

Select Option $1$: it earns you $$101\mathrm{.}69$ more than Option $2.$

Select Option $2$: it earns you $$115\mathrm{.}20$ more than Option $1.$

Select Option $2$: it earns you $$101\mathrm{.}69$ more than Option $1.$