I hear a lot of good things about kagi but privacy isn't one. They need to record every search and connect it to your account. Duckduckgo is more known for privacy and searches well through tor.

Here are the stats: https://kagi.com/stats

How many are paid vs trial accounts?

We know family doesn't offer a trial nor teams.

126 teams x 5 or 6 members = 1,000 accounts at 10 per day 10k

4500 family plans: most will take the 20 a month plan 100k

45000 individuals lets say they are all paid most on the 5 dollar plans lets assume on average 6.50 is earned 300k

Then you have orion+ members at 2000 giving an extra $15 per account. 30k

They probably make 450k a month

They have 19 employees on linkedin and they are listed at under 50 everywhere else. Lets give them 25 employees at 100k average salary which would be 2.5 million in salaries which might be low.

Add on costs to actually run the website (paid search, servers, office costs) which hopefully cost less than 3.5 million.. the rest is profit.

I'd say they are doing well enough. My average of 5/6 per team might be much higher if they have a few 100+ sized teams. I think the mode would be 5/6 regardless of the average.