Is this sentence a compound/complex sentence?After much scrupulous planning, the Count finally achieves his reprisal and fully controls the fates of his enemies.
To lessen confusion regarding compound and complex or compound-complex sentences, you need to understand the difference between a co-ordinating conjunction (For, And, Nor, But, Or, Yet, So..note: fanboys, an acronym) and a subordinate conjunction (while, after, because, etc).
We also have some transitional words and phrases which are used with compound sentences such as furthermore, however, on the other hand, and so on.
A co-ordinating conjunction creates flow and allows a pace to develop in a paragraph where otherwise there may be short, sharp sentences which would spoil the nature of what you are reading; for example, "We went to school. We had a Math lesson" is much better if you say"We went to school and had a Math lesson." This then is a compound sentence.
A subordinate conjunction creates anticipation as it usually precedes or follows on from a simple or compound sentence and gives more information about the matter at hand such as " When the car wouldn't start, he had to walk to school."
A complex-compound sentence combines the two. The sentence in question is then a compound-complex sentence. Consider the first part
After much scrupulous planning,
it begins with a subordinate conjunction, then,
the Count finally achieves his reprisal
is a main clause and could stand alone as a simple sentence, followed by
and fully controls the fates of his enemies
"And" is a co-ordinating conjunction, thus concluding that it is a compound-complex sentence.