Assuming I can gather 500$ a week from here and there,how much exactly should I invest.
I'm not that greedy and there is no time constraint.
You may learned first before get in into trading, 500$ a week that's good enough capital of investment when you do trading. Put some time or do research when you pick up coins in altcoins or in ICO tokens do some researched on their platform and raodmap, or else it will lost all your fund here in trading. Much better you invest in bitcoin for long term I am pretty assure that you have a less risk here.