Really nice computer here: http://www.amazon.com/HP-15-p030nr-15-6-Inch-Special-Ed...
Sadly, it is $9 above your budget. It has
AMD A8-5545M 1.7 GHz 4 core CPU,
8 GB DDR3L SDRAM,
1 TB 5400 rpm Hard Drive, 15.6-Inch Screen,
AMD Radeon HD 8510G graphics,
Windows 8.1
The other problem is, it is...