Hello, Kevar. It's been a few months since I applied, but I think I remember about how long it took to receive responses from each earnings program:
Applying for Google Adsense: Took about 24 hours for a response. You may not get in the first time you apply (a lot of us didn't, don't feel bad); try again when you have more Hubs.
Applying for ebay Program (once I'd been accepted into Google Adsense): Took about 3-4 days.
Applying for Amazon Program: If I recall correctly, I was instantly accepted into the program. I suppose once you're in the Ad program, you can get this immediately.
Hope this helps. If any of the programs took longer than a week to process the application, I might email the appropriate group to see if they had received it.