A young couple plans on investing $12\mathrm{.}00\%$ of their joint income every year until retirement. $(32\mathrm{.}00$ years$).$ Their joint income in their first year of work will be $$88,283\mathrm{.}00.$ They believe their joint income will increase by $3\mathrm{.}00\%$ per year during their working life. Their investments will earn $7\mathrm{.}00\%$ per year on average.

They plan on their retirement lasting $24\mathrm{.}00$ years. They want to leave $$139,784\mathrm{.}00$ to the American Cancer Society at the end of their retirement. Based on these assumptions, what yearly withdrawal can they make during retirement? $($assume that the withdrawals are at the beginning of the year$)$

$****$ PLEASE DO NOT USE EXCEL TO SOLVE, I NEED TO KNOW HOW TO MANUALLY SOLVE THIS PROBLEM EITHER BY HAND AND$/$OR FINANCIAL CALCULATOR$****$