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Hey, I'm new here and I'm wondering if anyone can give me my chances for admission to the following schools:
Stanford (EA)
Harvard
Princeton
Yale
Duke
Brigham Young
Indiana

Here's my stats.

Age/Gender/Ethnicity: 16(moved up a grade in 1st grade), F, Caucasian

School: Public, not known for sending students to top schools.
GPA: 4.0 unweighted, 4.369 weighted

Rank: 3 of 356

Intended major: Physics

SAT I: 710 verbal, 720 math (I've only taken it once, will be retaking in November and December if necessary)

SAT II: will take next week

AP:
Junior year: AB Calculus, 4
Senior year: Physics C, Statistics, Microecononics, English literature (Our school only offers 10 AP classes, several of them only started this year, so I couldn't take them due to scheduling conflicts)

Extracurriculars: Varsity Gymnastics (been in gymnastics my whole life), Varsity cheerleading (3 yrs.), Class officer (4 yrs; treasurer, secretary, vice president, vice president), key club (2 yrs), Church youth group (president for 1 yr.), Cardinal Cadre (1 yr., a host service at our school)

Work experience:Gymnastics instructor for 7 months, 10 hours a week. Babysitting for family members, often for free for my aunt.

Awards: National merit commended student, marion county principal's award (3 yrs., awarded to top 1%, 2%, 3% of class respectively), scored in 90th percentile on American Chemical Society end of year exam, Who's Who Among American High School Students 1 yr., straight-A honor roll each year.
Miscellaneous: Attended the Richard Lugar Symposium for Tomorrow's leaders. I attend a 1 yr. seminary class before school every day (a church scripture class). Attend 2 week-long church camps each summer. For 1 summer my grandma lived with us. She had alzheimers and we had to watch her constantly. I was responsible for her for 1-2 hours every day while my mom took my brother and sisters to places they needed to be. She died later that summer. I'm not sure how, or if, to add this to my application, any suggestions would help.

Thanks for your suggestions!