What would be the value of $100 after 10 years if you earn 11 percent interest per year?

If the interest is simple interest, then the value is

100 [ 1 + (10 x 0.11) ] = 100 (1 + 1.1) = 100 x 2.1 = $210.

If the interest is compound interest, and is compounded annually,

then the value is

100 (1 + 0.11) ¹⁰ = 100 (2.8394) = $283.94.

If the interest is compound interest, and is compounded monthly,

then the value is

100 (1 + 0.11/12) ¹²⁰ = 100 (2.9891) = $298.91.

That's why compound interest is better than simple interest.

Well 11% of 100 is 11 dollars so ... 11 * 10 = 110

so add 100$ to that and you get 210. so the value of $100 after 10 years is $210