You want to have $$200,000$ for your daughter$$s education $18$ years from now. If you can earn $9$ percent, compounded monthly, on your savings, how much do you need to deposit at the end of each month to reach your goal?

Group of answer choices

$$512\mathrm{.}44$

$$372\mathrm{.}89$

$$428\mathrm{.}09$

$$312\mathrm{.}44$

$$258\mathrm{.}30$