Did you reboot after install?
Did you uninstall FMPA12 before installed FMPA13?
I have a mac with similar processor and ram and it takes 3 seconds from dock click to the open dialog.
Was this your first startup after the install? It's very likely that the first startup will be slower than subsequent startups, as the OS often has to have some configuration of files behind the scenes whe opening newly-installed apps.
If this continues after a system restart, try opening the app by double-clicking directly on a file to open it as opposed to the intro screen you get when opening the app alone. It's possible the intro screen is pre-loading something from the web (though that shouldn't be necessary).
I uninstall FMPA12 and I installed FMPA 13. Then I restarted up the computer. Still, it took 30-40 seconds to see FMPA screen. Even on SSD in the computer. I watched on Task Manger. It showed up slowly memory was getting to about 2,000MB and back to 100-200 MB then showed up.
Anything else running on the system at the time (anti-virus, etc.) Not that that should make a difference but it might.
Anything unusual about your install - like installed in a non-default location?
Needless to say, it should not be taking 30-40 seconds on even a system with a conventional hard drive in it.
I checked intalled location. It was intalled c:/Program Files (x86)/FileMaker/FileMaker Pro 13 Advance.
Also, I intalled FMP 13 on other computer, with i5 / 4 Gby memory/ SSD.
I took 50 seconds. It took more. I do not understand it. I just intalled win 8 and office 2013 and some programs on that computer. Is there anyone who has experienced same as mine with window 8?