If the resistance that the mic and capacitor are feeding is 1k ohms, then the 0.1uF capacitor will cut all bass frequencies. 1600Hz will be 3dB down.
If the resistance that the mic and capacitor are feeding is 10k ohms, then the 0.1uF capacitor will cut most bass frequencies. 160Hz will be 3dB down.
If the resistance that the mic and capacitor are feeding is 100k ohms, then the 0.1uF capacitor will have a flat response down to about 80Hz, and 16Hz will be 3dB down.