Mix dry ingredients together and stir in nuts and carrot. Beat liquids and stir into dry mixture. Spread batter into an oiled 8" x 8" pan. Bake at 375 F. for 30 minutes. Serve warm or top with apricot glaze (recipe below). Apricot Glaze: Combine ingredients in a saucepan and stir over medium-low heat until apricots become juicy. Pour into a blender and puree; return to saucepan and cook for 5-8 minutes. Cool and spread on top of cake or cookies.