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A $$46,000$ loan at $8\mathrm{.}9\%$ compounded semiannually is to be repaid by semiannual payments of $$3,400($except for a smaller final payment$).($Do not round intermediate calculations and round your final answers to $2$ decimal places.$)$

a$.$ What will be the principal component of the sixteenth payment?

Principal

$ $2,599\mathrm{.}71$

b$.$ What will be the interest portion of the eighth payment?

Interest

$ $1,564\mathrm{.}91$

c$.$ How much will Payments $9$ to $15$ inclusive reduce the principal balance?

Principal reduction

$ $13,430\mathrm{.}62$

d$.$ How much interest will be paid in the fifth year?

Interest paid

$ $1,397\mathrm{.}96$

e$.$ What will be the final payment?

Final payment

$ $544\mathrm{.}00$