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 time indicated for finding the outstanding$$ principal; and$($d$)$ the principal repaid by the same payment as in part c$.$

Debt Principal

Repayment Period

Payment Interval

Interest Rate

Conversion Period

Outstanding Principal$$ After:

$$$$17$ comma $000\mathrm{.}00$

$6$ years

$6$ months

$6\%$

monthly

$7$th payment

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Part $1$

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

$$

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