A $10-$year annuity providing a rate of return of $5\mathrm{.}6\%$ compounded quarterly was purchased for $$25,000.$ The annuity makes payments at the end of each quarter. $($Round your answers to $2$ decimal places.$)$

a$.$ How much of the twenty$-$fifth payment is interest?

Interest part $

b$.$ What is the principal portion of the thirteenth payment?

Principal part $

c$.$ What is the total interest in Payments $11$ to $20$ inclusive?

Interest paid $

d$.$ How much is the principal reduction in the second year?

Principal paid $

e$.$ What is the final payment?

Final payment

$

A $$30,000$ loan at $6\mathrm{.}7\%$ compounded annually requires monthly payments of $$450.($Round your answers to $2$ decimal places.$)$

a$.$ Calculate the interest component of Payment $29.$

Interest component $

b$.$ Calculate the principal component of Payment $65.$

Principal component $

c$.$ Calculate the final payment.

Final payment