A large building HVAC system has an estimated life expectancy of $12$ more years. Replacement at that time is expected to cost $$350,000.$ The building engineer is considering a plan to set aside equal annual deposits into a fund bearing $8$ percent annual interest so that $$350,000$ will be on hand in $12$ years. If he is ready to make a deposit right now, what equal amounts should he deposit now and for each of next twelve years?