The interest rate on a $$55,000$ loan is $8\mathrm{.}2\%$ compounded semiannually. Quarterly payments will pay off the loan in fourteen years. $($Do not round intermediate calculations and round your final answers to $2$ decimal places.$)$

a$.$ Calculate the interest component of Payment $12.$

Interest $

b$.$ Calculate the principal component of Payment $49.$

Principal $

c$.$ Calculate the total interest in Payments $39$ to $50$ inclusive.

Total interest $

d$.$ Calculate the reduction of principal in Year $4.$

Principal reduction $