Alexander Hamilton, first US Secretary of the Treasury, is on the ten dollar bill.
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Alexander Hamilton
This depends on the condition. If it is circulated, likely face value ($1). If uncirculated anywhere from 3 to 10 dollars or so
secretary of treasury Alexander hamilton
As of 02/2010 a 1977 US Federal Reserve Note would retail for only a dollar or so above face value if it's in circulated condition. A nice crisp uncirculated one might sell for $17 or so.
The green seal indicates that your bill is a Federal Reserve Note. Please see the question "What is the value of a 1950 C US 10 dollar federal reserve note?" for more information.