In vest online in the stock market. Keep it there for a long time so it grows. This is the laziest online strategy I know of that actually works. It wont make you a millionaire, but neither will internet marketing and $10,000.00.
I think you should get listed in the major paid directories, setup a decent host, and buy articles like Janck suggested. If you have articles relevant to what people search for you can get potentially 1 visitor per day per article so that's 5k uniques per day based on those articles.
I would contact a few of the "gurus" you respect the most and ask them how much they charge for a private consult ... that would be like gold.
Stock market. I have very few expenses, and only have a few sites that I run, so for the most part, I'd put it towards stuff outside of the internet. I'd put a few thousand into buying BP stock. A gamble, for sure. But exciting either way!
I would take a nice holiday with my girlfriend and spend all money on 5 stars hotels, good food, helicopter trips ...live is not only about SEO and backlinks ...but enjoy and have fun with your loved ones
I would create a new online store website and do a large online campain and easily double my money back.
If i had $10,000 , First id Either find a product/affiliate or website service/information or product to promote. As far as marketing...You're gonna wanna do a lot of SEO/Article marketing, Adwords,Social Media and PR. Those 4 things are your CORE for internet marketing. Now i wouldn't necessarily spend it all at once. Just because you have the money don't try to spend it all at once. $10,000 can go fast if you spend it in the wrong places. Best of Luck! -C