For the month of July, the unpaid balance on Sue's credit card statement was $$1022\mathrm{.}32$ at the beginning of the billing cycle. She made purchases of $$455\mathrm{.}36.$ She also made a payment of $$788\mathrm{.}17$ during the month. If the interest rate was $1\mathrm{.}73\%$ per month on the unpaid balance, determine the finance charge and the new balance on the first day of the August billing cycle. Round the answers to the nearest cent.

Part: $\frac{0}{2}$

Part $1$ of $2$

The finance charge is $