Will This run minecraft smoothly? - 1

On medium settings? State the fps if you know.

AMD A10-5700 Quad-Core Processor 3.4GHz
Microsoft Windows 8
8GB DDR3-1600 SDRAM
2TB 7,200RPM Hard Drive
AMD Radeon HD 7660D
SuperMulti DVD Burner
6-in-1 Media Card Reader
10/100/1000 Network
802.11b/g/n Wireless
Display Not Included

Yes around 20

Yeah, you will get more than your eye can recognise. I would say 30+fps. I would say minecraft is more "taxing" on your ram than any other part of your computer, and i managed to run minecraft and a server in beta on the same pc, with 8GB ram, you will be fine, however that looks like a laptop, so you may want to find one with a dedicated graphics card, the one you have picked as "onboard" graphics, which will never match the performance of a dedicated Graphics card

Yea it should get above 30 no problem on medium-max settings.