$2.$ Find the average daily balance for the following credit card account. Assume one month between billing dates. Find the finance charge if the annual interest rate is $22\mathrm{.}32\%.$ Find the new balance for the next month$$s statement.

Date Activity Balance Compute

July $11$ Balance from previous

statement $$512\mathrm{.}78$

July $19$ Returns $$136\mathrm{.}45$

July $21$ Boscov$$s $$135\mathrm{.}73$

July $27$ Car rental $$174\mathrm{.}19$

August $4$ Payment $$115\mathrm{.}00$

August $6$ Gasoline $ $42\mathrm{.}65$