Mr$.$ Jensen plans to send his son to college in Europe. He expects the cost of these studies to be $$100,000.$ The full amount is due exactly $15$ years from today. He must deposit $ $$ per year in an account earning $8\mathrm{.}5\%$ p$.$a$.$ in order to reach his goal. Assume the first deposit is made today and the last deposit is made exactly $15$ years from today.

$4,469\mathrm{.}36$

$3,161\mathrm{.}35$

$3,682\mathrm{.}95$

None of the answers in this list is within $$10$ of the correct answer.

$3,542\mathrm{.}05$

$3,487\mathrm{.}02$