I would like to have $$3\mathrm{.}75$ million in my retirement account by the time I retire in $30$ years. I am currently $35$ years old and currently have $$175,000$ in my account, so I've got a pretty long way to go$.$

How much do I need to deposit into my account every month to reach my goal, if I assume an $8\mathrm{.}4\%$ APR interest rate, compounded monthly? Round to the nearest dollar.

Question $9$ options:

$$1,176$

$$3,462$

None of these

$$986$

$$1,410$

$$16,923$

$$1,294$