Blue book lists a used 2009 370z with 15K miles in excellent condition at around 26.7. If you buy from a private party and not a dealer you may be able to avoid paying sales tax ... I'm not sure ... they may charge you the tax when you go to register it or transfer title .. Anyway say 28,000 total. If you put 6k down and take a loan for the remaining 22k your payment will depend on your interest rate. Used cars have higher rates and since you are young with likely little credit experience the rates may be high. Going with an unlikely 7% your payments on 22k would be around $435 a month.
Also, with a loan you'll have to have full coverage and with a Z and your age it may be expensive.
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