Carrot Cake

If it contains flour

Brocho before eating this: Borei Minei Mezonos

Brocho after eating the proper shiur of this: Al Hamichya

If one is Koveah Seduah on this item, Hamotzi Lechem Min Ha'aretz and Bentching are required.

If it doesn't contain flour

Brocho before eating this: Shehakol Niyeh Bedvoro

Brocho after eating the proper shiur of this: Borei Nefashos

Source: The Laws of B'rachos (page 361)