Is your question regarding the long term capital gains tax at federal level? or at North Carolina State tax level?
What is your other total income?
The federal long term capital gain tax rate is upto a maximum of 15%. However if you are in a lower tax bracket(meaning if your income is taxes in 10-15% tax bracket) than the long term capital gain tax rate is 5%.
North carolina does not have a separate tax rate for long term capital gain tax. So the tax rate will depend on your total taxable income including the long term capital gain. The tax rate could be anywhere between 6-8.25%. Here is a link for your reference-
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Please note: This advice is provided with the understanding that all the relevant facts have been provided by you. Any change in facts might affect the advice given and hence may not be relied on in such cases.