To calculate the total bill, we need to calculate the cost of the electricity used and then add the customer charge.
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Cost of electricity used: \[ \text{Cost} = \text{KWH used} \times \text{Price per KWH} = 765 , \text{KWH} \times 0.06354 , \text{USD/KWH} \] \[ \text{Cost} = 48.6151 , \text{USD} \]
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Add the customer charge: \[ \text{Total bill} = \text{Cost} + \text{Customer Charge} = 48.6151 , \text{USD} + 3.75 , \text{USD} \] \[ \text{Total bill} = 52.3651 , \text{USD} \]
Rounding to two decimal places, the total amount you will pay is $52.36.
So, the answer is: $52.36