Cpu Usage And Bandwidth

In your professional opinion, does a simple shared account with 20+ gigs of bandwidth have enough to handle a website that, for a week out of a month, might hit about 5 or so thousand visits (to a single web page with mysql connection) per hour?

The traffic wouldn't last at that rate for more than a few days. but I want to make sure even a basic good web host with a shared account can handle this. Or is a must that I hit a dedicated server?

Linux, bsaic dual intel set-up like any other seems to be what I will have. Not sure about ram, but I am on a reseller account and the only one that will have real traffic.