Do you think I can get into rpi?

Gpa: weighted 3.94, unweighted probably like 3.6
I am a full ib diploma candidate, I take HL Math (would have taken both calc 1&2 by end of senior year), HL business and HL biology, the rest of my courses are all SL ib classes. My grades in 9th and 10th were mostly bs and as more b than a though but junior year I got straight as. Also I have done competitive gymnastics 16hrs/week since freshman year. I have 150 hrs community service and have done an internship this summer at an electrical engineering company. I want to major in some sort of applied math.
Do you think I have a good chance of getting into Rensselaer polytech?? Also do I have a good chance of getting into Michigan as well, considering both of my parents are alumni from u of m??
Any other schools I should look into??