8gb of ram is a necessity! Ironically, internet browsers are sources of great tragedy and despair these days. Just today, my Firefox was using 1.7gb of ram... with 2 open tabs - because I've browsed for too long - it's so 2015 century to close and reopen a browser when it starts to accumulate trash in memory.
You can get away with 6gb, or 4gb if you're wife is extremely minimalistic in her browsing, but otherwise 8gb is necessity. Not a huge pain, since memory is again cheap these days and it's getting cheaper.
SSD is not necessary for browsing, unless she often turns on computer just to check one or two things - in which case it will speed things up noticably for her (Windows start up time).
i5 Haswell are great processors, but not necessary. i3-4170 (or at least 4150) are a steal compared to what they offer, but even better option seems to be the new Skylake i-6100 - maybe slightly overpriced, but new tech and extremely efficient. Don't look at the clock when judging it. Also, don't mind the cores! All have 2 (+hyperthreading) but it is enough for everything but the most extreme browsing coupled with lack of adblocker
AMD is a bad choice though, they're slow, power-hungry, better as a heater during winter months than as a processor.
TL;DR: don't save on RAM, you can save on processor though.
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