You're lucky! Nakamichi is a still very big name in cassette decks. Your CR3A is too far down in the line to be a big draw. If you don't plan to keep the deck and cassettes, I suggest you sell them together.
I had more than 2000 cassettes, and three cassette decks ((ZX-9, RX-505, CR-7A). Since we were moving, my wife insisted that I sell some of my collection. While I now regret selling anything, I sold the ZX-9, with 2000 cassettes and box sets, for $2300. Willy Hermann had tuned up the ZX-9, many of the 60's and 70's cassettes were mint, and I probably sold the lot at less than it would have been worth to the "perfect" buyer if I had been willing to wait. I wasn't.
So, how much is it worth? I don't really know. Whatever someone is willing to pay for it, I guess. You can find Nakamichi CR3As for sale on eBay and that should give you some idea. I was lucky to have an owner of a used record store buy my stuff. But again, IMO, selling the deck and cassettes together is your best bet.
I had more than 2000 cassettes, and three cassette decks ((ZX-9, RX-505, CR-7A). Since we were moving, my wife insisted that I sell some of my collection. While I now regret selling anything, I sold the ZX-9, with 2000 cassettes and box sets, for $2300. Willy Hermann had tuned up the ZX-9, many of the 60's and 70's cassettes were mint, and I probably sold the lot at less than it would have been worth to the "perfect" buyer if I had been willing to wait. I wasn't.
So, how much is it worth? I don't really know. Whatever someone is willing to pay for it, I guess. You can find Nakamichi CR3As for sale on eBay and that should give you some idea. I was lucky to have an owner of a used record store buy my stuff. But again, IMO, selling the deck and cassettes together is your best bet.