Apple Cake, King Arthur

Ingredients

• 1 1/2 lbs granny smith apples, cored and sliced
• 1/3 cup brown sugar
• 3 tablespoons apple juice concentrate
• 1 teaspoon apple pie spice, whatever you like in your pie
• 1/4 teaspoon salt
• 1 1/3 cups unbleached all-purpose flour
• 1/2 cup granulated sugar
• 1 1/2 teaspoons baking powder
• 1/2 teaspoon salt
• 2/3 cup milk, warm
• 1 large egg
• 6 tablespoons butter, melted
• 1 teaspoon vanilla extract
• coarse sugar (optional)