You buy a house for

$,$ and take out a

$-$year mortgage at

interest.

For simplicity, assume that interest compounds continuously.

Round all answers to $2$ decimal places.

What will be your annual mortgage payment?

$29877\mathrm{.}93$

Incorrect per year

Suppose that regular raises at your job allow you to increase your annual payment by

each year. For simplicity, assume this is a nominal rate, and your payment amount increases continuously. How long will it take to pay off the mortgage?