Chuck Harris viewed a single$-$family residential property on the far east side of town. Chuck has great credit and was approved for $$480,000\mathrm{.}00.$ The List Price was $$459,900\mathrm{.}00.$ Chuck offered $$469,000\mathrm{.}00$ to beat out the other competing buyers. The seller accepted the offer. Chuck is getting a conventional conforming loan at $20\%$ down. The interest rate of $4\mathrm{.}25\%$ for $30$ years. He is closing on September $21$st$.($Rate Factor $=4\mathrm{.}92)$ With this information please answer the following questions:

$1.$ What is the mortgage amount?

$2.$ What is the down payment?

$3.$ What is the monthly mortgage payment?

$4.$ When is the first payment due?

$5.$ What is the interest adjustment $($prorated amount$)$ to be paid by the borrower at closing?

$6.$ After the first payment was made, how much did Chuck pay towards the principal amount?

$7.$ What is the principal loan balance after paying the first payment?