Did you have this problem before you installed the other battery? If so you may have a short or some electronic device draining the battery. Have you added a big stero amp? You could have a weak cell in the battery that won't hold a charge for very long, but you can test this. I would also suggest driving over to Auto Zone and have them do an alternator check for you, it is free and they can test the battery as well.
My gut feeling is that you might have some component draining the battery. Check the voltage of the battery when you get home and with a full charge. Then check the voltage again in the morning and see if it has dropped any. Since you are not driving full time yet, check the voltage the next day as well. If you are seeing a drain then the question is where.
I would also experiment with a charged battery and do the same test except take one of the terminals off so there can not be any outside source drain and see if the battery voltage drops over time.
Process of elimination.
Gary