Amanda Rice has just arranged to purchase a $$580,000$ vacation home in the Bahamas

with a $20$ percent down payment. The mortgage has a $6\mathrm{.}4$ percent APR compounded

monthly and calls for equal monthly payments over the next $30$ years. Her first payment

will be due one month from now. However, the mortgage has an eight$-$year balloon

payment, meaning that the balance of the loan must be paid off at the end of Year $8.$

There were no other transaction costs or finance charges. How much will: Amanda's

balloon payment be in eight years? $($Do not round Intermedlete calculatlons and round

your answer to $2$ decimal pleces, e$.$g$.,32\mathrm{.}16.)$

Balloon payment