You would like to give your alma mater $$1,000,000$ as gift to establish a scholarship in your name. If the university expects to earn $6\%$ APR on its investments and plans to invest your gift for one month before paying out the interest from the investment as a scholarship every month forever, what is the expected size of the monthly scholarship? LO$2$

$\backslash$table$[[$$$1,645\mathrm{.}91$