The egg and moult counter

You will count the eggs of a female cockroach, find the adults that you expect, and follow the length of a nymph through its moults.

The idea. The eggs are the oothecae times the eggs in each. A nymph grows by a factor at every moult.

Your tasks.

1. Finish eggs. It gives the eggs laid, from the number of oothecae and the eggs in each.
2. Finish adults. It gives the number of adults that you expect, from the eggs and the share that survive as a fraction.
3. Finish moults_to. It gives the number of moults needed for the length to go above a target.