You have a revolving Bank of America credit account with a $1\mathrm{.}25\%$ monthly percentage rate. The billing date is the first day of each month, and the billing cycle is the number of days in that month. During the month of June, your account showed the following activity: $(12$ pts$)$

June $1$

June $10$

June $12$

June $17$

Previous Statement

$$315\mathrm{.}60$

June $24$

Purchase Texaco Gas

$$23\mathrm{.}25$

Payment

$$75\mathrm{.}00$

Return merch. at Macy's $($credit$)$

$$54\mathrm{.}10$

Purchase Amazon

$$94\mathrm{.}19$

a$)$ If Bank of America uses the unpaid balance method to compute the finance charge, compute the finance charge on your credit card for the month of June?

b$)$ What is your new balance on June ${30}^{th}$ when the finance charge is calculated using the unpaid balance method?

c$)$ If Bank of America uses the average daily balance method instead of the unpaid balance method to compute the finance charge, find the average daily balance.

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