A debt of $$$$39$ comma $000$ is repaid over $14$ years with payments occurring monthly. Interest is $10\%$ compounded semi dash annually.

$($a$)$ What is the size of the periodic$$ payment?

$($b$)$ What is the outstanding principal after payment $139?$

$($c$)$ What is the interest paid on payment $140?$

$($d$)$ How much principal is repaid in payment $140?$