Solve the extra credit problem below if you have time. It will not count against you if you do not do it$.$ You

may score up to $5$ points on this problem.

Problem:

Paulina saved $$479$ per month into her TIAA retirement account for $35$ years at a fixed interest rate of $5\mathrm{.}67\%.$

Once she retired, she told TIAA to distribute payments from her account to her in equal amounts over the

next $27$ years, assuming a fixed interest rate of $3\mathrm{.}92\%.$ How much would TIAA send Paulina monthly in order

to satisfy her request?