We have loan contract and it was supposed to be a quick loan, however the person failed to continue to pay after they made second payment. 

Can someone give me an example of how down payments come to play?

This is also the notice period for terminating a written lease for anything other than non-payment of rent (unless written lease says otherwise).If you are going to play the game (landlord-tenant), you should know the rules.

I would offer them double their current rent amount, so they have enough to cover a new deposit and have some play money - which is the incentive.

Credit history will be important and also the type of loan product that you are applying for may mean that income and DTI would come into play. 

Research is one thing, but you have to have someone you can trust when something goes pear shaped at 2 am.Turn-key, as @Hallie Wasserman, suggested may be a good option, but those won't be value-add plays and returns are limited.

I am unsure whether purchasing a condo in an area where I know for sure the housing market is on a continual steady growth.

Santino plays "Pat", the youngest of eight brothers (not counting his infant little brother) growing up in the 70's.

If she ask me to leave I have decided I am going to refuse to leave and probably terminate the contract effective immediately based on the grounds that they lied on their application and continue living here. 

Have played in Illinois.