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In large bowl, combine 1 cup sugar, flour, baking powder and salt.
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In medium bowl, combine milk, eggs, and vanilla and beat lightly.
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Add half this mixture as well as the butter to the dry ingredients and beat at medium speed for one minute.
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Add the remaining egg mixture in 2 parts, beating at same speed for 20 seconds after each addition.
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Beat in poppy seeds and lemon zest.
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Spoon batter into a loaf pan and smooth the top.
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Bake at 325 degrees for 45 minutes or till done (test with toothpick).
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Lemon Glaze: in a small saucepan beat the 1/2 cup of sugar into the 1/4 cup of lemon juice till dissolved.
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Brush 3/4 of the glaze onto the cake while still in the pan.
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Let cool 10 minutes, invert and brush the bottom and sides with the remaining glaze.