To be sure - but not just them (and not just in city towers).
Here at CambridgeCrossing, the legacy named AVA Northpoint offers 12 3br/2 or 3ba units, ranging in sizes from ~1,200ft^2 - ~1,600ft^2 for $4,300 - $5,500/month.
Granted, that's not $10,000, but only *one* is available (a smaller unit for $5,035). And when I walk my pup at night I can see some of the 3br units: they're occupied by live-in renters (not corporate rentals - although that category of renter cannot be discounted in Cambridge as one who often "pays 'that much' for swanky digs", and topped $5,850 at AVA pre-COVID-19).
I suppose there are numerous similar examples in the city in the $6,000/mo - $7,500/mo range.
Edit: just checked - even Montaje in Assembly Row tops $5,000/mo, with outliers like a 1br/1ba for $3,800 and four unpriced sizes > $5,000 (although they're offering a free month, whereas Avalon is not).
#becausetech_biotech