Suppose that you make a $$1,225$ charge on a credit card with a $22\%$ APR. Assume that you receive your first bill and make a payment of $$275.$ What interest will your next bill show if the interest rate is calculated using the indicated method? $($Round your answers to the nearest cent.$)$

$($a$)$ Previous balance method

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$($b$)$ Adjusted balance method

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$($c$)$ Average daily balance; assume that the month has $30$ days and it takes $10$ days for the payment to be received. $