Why doesn't Yahoo keep the "Answers" with every one anonymous so no one gets insulted?

imo only.....It is a private business who has made a decision after much deliberation I am sure.

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 New laws are coming out that will hold social media sites responsible ( libel) to clean up what is posted ( racism. slander, abuse ,porn etc...FAST or face fines = $$$$$$$$$$$

There not making any $$$$$ on this site so they dont see any Reason to keep this site around 

No reason to. Not enough value in the content to archive the posts.

Only cowards and trolls need to be anonymous.  They do this to try to make it less obvious that all they do is just repeat the same idiocy all the time and to hide the fact that the same people always answer their mindless idiocy.

Because Yahoo Answers shutting shop because of the platform becoming spammed and vandalised by users constantly insulting each other is probably only one of many reasons, and perhaps not even the main reason.

Also if one takes responsibility for their own actions one does not feel the need to go anonymous, whether they get bullied, gangstalked by weirdos or not.