The debt is amortized by equal payments made at the end of each payment interval. Compute $($a$)$ the size of the periodic payments; $($b$)$ the outstanding principal at the time indicated; $($c$)$ the interest paid by the payment following the fime indicated; and $($d$)$ the principal repaid by the payment following the time indicated for finding the outstanding principal.

$\backslash$table$[[$Debt Principal,$\backslash$table$[[$Repayment$],[$Period$]],\backslash$table$[[$Payment$],[$Interval$]],$Interest Rate

$\backslash$table$[[$Conversion$],[$Period$]],\backslash$table$[[$Outstanding$],[$Principal After:$]],],[$$$15,000,8$ years,$6$ months,$11\%,$semi$-$annually,$8$thpayment$]]$

$($a$)$ The size of the periodic payment is $

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

$($b$)$ The outstanding principal after the $8$th payment is $

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

$($c$)$ The interest paid by the $9$th payment is $