You have a dime. The 1975 "no-S" you want it to be originates only in proof sets. Yours was minted for circulation, and saw it.
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1975 S no mint mark
M
Marc's Expert Appraisal
ANA-Certified Numismatist · Hudson Valley Numismatics
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2016. Untiee states annual uncirculated dollar coins. I have 2012 - 2016
These sets have an ounce of silver and four dollar coins. They seem to sell for $40-45.
1982 small date 3.1 grams
We call this a cent.