From the number of differing comments displayed here over at least six years merely confirms that there is really no correct/incorrect way in which this counfusing word should be written, let alone pronounced.
I believe that it comes down to the manner in which it is used (by the writer - presuming she/he knows what they're doing-oh, dear LOL) in the users own area of residence.
Personally, I have considered the correct way is "resumé" for the following reasons -
1) Writing/spelling it in this way, especially in isolation, shows the reader she/he should not considering 'continuing' in any manner. In other words "I am a list of experiences concerning the person named in this paper".
2) Pronunciation should be as "ey" to ensure the listener(s) understands what this word indicates "that this form/letter (CV-lol) is a list of experiences of the named person, do not continue 'doing' anything - except to use one's ears". It assures the listener that she/he only has to listen, you are not expected to continue with any manual 'work'.