MIT has relatively strong requirements for all students to take math, physics, chemistry, and a lab course. If you are a music major at MIT, you still have to take math, physics, chemistry, and a lab course (or at least had to when I was there). If you are not enthusiastic about science, it is not clear that it is the best choice.
There are a lot of other very good universities with very good finance and economics programs. I am thinking that you should be applying to some that do not require a science SAT subject test.