1945 is considered a common date for Mercury dimes. Look on the back of the coin to see if there's a small mint mark letter next to the E in ONE. It may be blank or there may be a D, S or S. (The W on the front of the coin is the designer's monogram and not a mint mark.)
Numismedia lists the following approximate retail values as of 12/2011:
Circulated coins - about $3 for their silver content. A D or S mint coin with almost no wear might bring $4.
Uncirculated coins:
No mint mark (Philadelphia): $5 to $68 depending on quality
"D" mint mark (Denver): $5 to $69
"S" mint mark (San Francisco): $6 to $1,790
There is a variety with a very tiny "S" mint mark called a micro "S". Values are:
Almost no wear - $16
Uncirculated - $26 to $390
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