Effect of installing many apps

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I've downloaded to my LG Optimus Black 30 apps til' now, I'm on Zeus V2.1
When I had the stock rom I had 100 apps!!
Does installing many apps necessarily slow down the phone? or It doesn't have to affect on the phone memory and speed?
On the one hand, I know that the phone is a lot faster when It has only few apps, and on the other hand, I have an Android Phone, Why not to have funny apps like lighter and games. What's your opinion?

Short answer: Mostly less is more...
Means: A lot of apps stay in memory and slow down ur phone, as u alread answered to urself, some even keep running in background and can keep the cpu from going to deep sleep mode, if they are not programmed well.
So yes, many apps slow down ur phone

Well, to describe it correctly, i would like you to explain that it's not the "numbers" of applications that matters.... I mean, we have a whole one GB of internal space, so we can easily afford 100+ applications.

So, it's actually the "type" of applications that give you a considerable effect on your device's performance.

# Example : i have installed TorrentFreak reader application. When i open it to read TF articles, it opens... when i exit it, it exits... shuts down completely. Now, i have installed UNO game from glu, which even if i don't open, it brings me advertisement notification.

So, the moral of story is, if i have installed hundreds of applications like TFreader, they won't cost me any RAM or any battery usage if i don't use it. But if i install just 10-15 apps like UNOgame of glu, they will use my data connection, RAM etc. in background even if i hardly use them.

So, always choose the application wisely, that's the point. Check their permissions, see if they add any "services" that may keep consuming your cpu cycles..... and you are good to go.