Average Current ($I_{avg}$):

$$ I_{avg} = \frac{(I_{active} \cdot T_{active}) + (I_{sleep} \cdot T_{sleep})}{T_{active} + T_{sleep}} $$

Estimated Lifetime:

$$ \text{Hours} = \frac{C \cdot (\text{Derating} / 100)}{I_{avg}} $$