Except for some special proof coins issued in 1993 and later, all dimes since 1965 have been struck in cupronickel, not silver. Check your pocket change and you'll find others. They're all worth 10 cents.
1957 is not a rare date for Washington quarters. Its value is based on the silver it contains -- as of 12/2008, about $2.50
from 500 dollars to 100 dollars depending if its p mint mark
2 to 4 $
The mutilation makes it worth only the value of the silver it contains, currently about $3, but it wasn't worth much more before.
This date regardless of mint mark is valued for the silver and is worth about $3.25
About $3 for its silver content. A dealer will pay less.
Assuming it's worn from circulation, it would be worth around $3 for its silver content.
If the coin shows any wear, value is for the silver at about $6.00
$5 to $100,000 depending upon the mint mark, which variety, and the condition of the coin.
About $3 for its metal content. A scrap dealer will pay wholesale, though
$5 to $100,000 depending upon the mint mark, which variety, and the condition of the coin.
Reatil for circulated coins $3.74- $4.20 Mint state $4.30