I can point to studies that say this is true in much more depth than you considering it.

Music is 'Math-on-the-fly' AND a second language that is read (and acted on) in realtime.
Try reading a second language that contains embedded instructions that you MUST act on before continuing on to the next passage (I hope this is a good enough example)

Music builds the ability to multitask, to reserve parts of the brain for complex activities that may not be 'calculus' but try doing calculus while marching in time, anticipating pitch, fingerings, etc etc

Musical education DOES contribute to mental growth. My parents have spent years in front of Congress making this point to save the school music programs around the country.
It hits kind of on a personal level for me..

I do not work here, but the benefits are still awesome
Make your sound your own!