My AppleCare runs out on 7/8 and I can't get an appointment until 7/8, so can I wait until then, or will my warranty be considered expired?
If you created the appointment prior to 7/8 I'm willing to bet they'll make an exception for you. That said, they may very well accept it the day it expires. In fact, I think they do.
If the expiration date is 7/8, I would guess the service runs through that date. Meaning you should be covered on that date, but not after.
Just FYI, calling the store would have been much faster than posting and waiting for a response.
FYI they were closed.
But sometimes there's more than meets the eyes when posting on MR.