There are no calculations to do if you dial. The BDC and second focal plane combination requires calculations if a guy tries holding over. Not if you dial.
Download Strelok or Advanced Ballistics. Just input your data, click the trajectory link, and you’ll get solutions as far as you could want.
For 500yrds, you’re not asking much. A few trips to the range at different temperatures will get you where you need to be.