John Smith has a credit card that charges 11​% annual interest on the monthly average daily balance for the billing cycle. The current billing cycle has 30 days. For 17 days his balance was ​$2,536.51. For 7 days the balance was ​$1,536.51. And for 6 days the balance was ​$1,895.33. Find the average daily balance. Find the amount of interest.

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