How to convince my mom?

so, its my birthday in exactly 10 days and i REALLY REALLY want to dye my hair the only problem is convincing my mom :/ i'm turning 16 :) i think i'm old enough to make decisions for myself :/ what should i say in order to get my mom around it? my hair is a dark red colour but i really want to dye it this color brown. ---> http://www.phijhe.com/wp-content/hairstyle/2009/03/hilary-duff-hairstyles-3.jpg