Well, I came to the same question, when I was upgrading my computer. I was looking for a cheap card, like a HD 7790, to work with my old dual-core i5-650.
I asked many questions on Tom's hardware, and the common answer was this: At 720p, you'll do fine. So, I got the graphics card, and started playing my favorite games, like Battlefield 4.
When I play (on my 1440x900p monitor), my CPU stays between 75-90% usage when playing Battlefield 4. So, it doesn't look like its bottlenecking my HD 7790. If it was at 90-100% then, it would be bottlenecking it. I ran many benchmarks, and it seems like my PC is playing Battlefield 4 at what it should be playing it.
The Intel core i5-650 is about the worst i5 that has ever been made (for desktop). So, I can easily say, that your card will run great at 720p, or even 900p, like I am.
Now, you can actually see the FPS I'm getting on ultra
here (not advertising. this actually has something to do with this thread).