[tptacek]

Somewhere between $0 and $20,000, probably much closer to $0; depends on your credentials, the intuitive strength of your idea, and how hard it is to build.

You're asking the wrong question, though. Regardless of whether you can get an investment (and sure, you can always scrounge up $2000 from somewhere), this is the worst conceivable time for you to try to take an investment. You are optimizing for terms will ultimately cripple your business.

Build something first.

[jacquesm]

Don't rule out the possibility that it is a bad idea that looks good (value < $0, you will lose whatever money you throw at it).

Or an absolutely fantastic one (probably still < $20,000).