Mr$.$ Dyer wants to make deposits $($D$)$ at the end of each of the following four years. Due to other family responsibilities, he will not be able to make any deposits in years $5$ & $6.$ Then he plans to withdraw $$40,000$ at the end of years $7,8,9$ &$10.$

W $=$ withdrawal $=$ $$40,000/$year

D $=$ deposit

No deposits in years $5$ & $6$

k $=10\%$ from today, until the end of year $5,$and $12\%$ thereafter. Find D$.$ Choose the closest answer.