You want to have $$3410912$ in your account when you retire so that you can buy a boat and sail around the world. You currently only have $$282808$ in your retirement account. You commit to adding $$1666$ per month to your account until you retire. You can earn on average $7\mathrm{.}1\%($APR$)$ in your account $($compounded monthly$).$ How many years will you need to work before you can retire and have enough to buy the boat?

a$.23\mathrm{.}3$

b$.31\mathrm{.}2$

c$.30\mathrm{.}5$

d$.24\mathrm{.}13$

e$.26\mathrm{.}5$