A debt of $$$$34,000$ is repaid over $14$ years with payments occurring annually. Interest is $6\%$ compounded semi$-$annually.

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

$($b$)$ What is the outstanding principal after payment $8?$

$($c$)$ What is the interest paid on payment $9?$

$($d$)$ How much principal is repaid in payment $9?$

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$