Need help with this

---> I chose a APR of 10% compounded monthly, what is the corresponding APY?

Don't know what APY and APY mean, but I will assume you want the

equivalent annual rate to 10% per annum, compounded monthly.

let the annual rate be j
(1+j) = (1 + .10/12)^12
solve for j, let me know what you get.