There is no "good" or "standard" rating for a certain age.
Is 700 a good rapid rating for a 13 year old(me)?

No. sorry bro you gotta hit the brain gym, try lifting books with your eyes it will improve your brainpower and let you see the future after you do it enough times.

Nah not really. My first official otb rating was around 1600 uscf. It dropped to 1400 something, then surged again years later.

There is no "good" or "standard" rating for a certain age.
Agreed.
As an 11-year-old my rapid is above average, but that doesn't mean I'm good. There are always people higher and lower-rated than you. Just work at your own pace.

Is 700 a good rapid rating for me?
I was 400 elo when I was 14 years old. Now I'm 16 and i have a 1900 elo.

Is 700 a good rapid rating for me?
I was 400 elo when I was 14 years old. Now I'm 16 and i have a 1900 elo.
Nice
It is all relative, we now have 12 year old grandmasters.
700 offers a lot of potential for improvement. Try not to blunder. Always check your intended move is no blunder before you play it.

it depends how new you are to chess.
because you're a casual, you can't apply GM standards to yourself, so if you're new to chess, don't worry, 700 isn't that bad. ur only a couple hundred points off from where most people are, on this site anyway.
just keep playing.
If you're a 13 year old who has played in several tournaments and had private coaching, 700 would be a disappointing rating. If you have recently started to take chess a little seriously and play on Chess,com, 700 is fine! You have to start somewhere.

Is 700 a good rapid rating for me?
Magnus Carlsen got a GM at this age, so I will say 700 is not that great. However, everybody has to begin with a low rating. I would say that you should get 1200 in rapid with proper training within one year. This means: learn a lot of tactics (purchase the book “ Common Chess Patterns “ in Chessable, with 780 useful tactics), analyse your games and begin to learn a basic opening repertoire.
Is 700 a good rapid rating for me?