Mathman97 UT calculates an Academic Index (AI) and a Personal Achievement Index (PAI). The AI is a formula based on class rank, math score and writing score that predicts a projected GPA. The PAI goes from 1 to 6. 1 or 2 points for each of the two essays, 1 point for ECs and 1 point other circumstances. Search AI under the UT topics and I think you will be able to find the formula for SAT scores. If you don’t find it that way Google UT academic index.
Anyway your math and writing SAT scores are very good. Based on your weighted GPA I assume your actual class rank is higher than 8 %. So your AI should be competitive from I have been able to read from others comments. Looks like your ECs are good. My guess is that you have a very good chance. What was your second major?