Even with the newest and most modern fridges, I still wrap my carrots and many of my other vegetables in newsprint. Our newspapers use vegetable based inks so it doesn't hurt the food. By doing this my veggies last a lot longer. Take carrots out of bag, cut off tops and wrap in newsprint as if you were wrapping flowers. Put back in plastic bag and store in fridge.
Paper absorbs moisture and keeps veggies fresh and crisp.
You also recycle newsprint. My family loves bell peppers, especially yellow and red ones. These are often very expensive, so when they are on sale I stock up. I take them home, clean them and cut them into slices. Then put into a freezer bag and they are good for up to 6 months.