Alec is $30$ years old and wants to plan on having $$2,000,000$ for retirement at age $65.$ He currently has $$10,000$ saved for retirement and wants to know how much he needs to save per month to achieve his goal. Assume that his investments will earn an annual rate of $6\%.($Assume that the payments are made at the end of each month$)$A$.$ $$1,460\mathrm{.}08$B$.$ $$17,947\mathrm{.}72$C$.$ $$17,257\mathrm{.}98$D$.$ $$4,761\mathrm{.}90$E$.$ $$1,346\mathrm{.}78$