The US Mint wasn't authorized by a single person. Article 1, Section 8 of the US Constitution gave Congress the power to coin money for the new country. The Mint was formally established by the Coinage Act of 1792 and struck its first circulating coins, cents and half-cents, the next year.
Robert Morris and Alexander Hamilton were instrumental in determining how the Mint should run and what its new coinage would be. President Washington appointed the renowned Philadelphia scientist David Rittenhouse as the first Director of the Mint.
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The most recently opened U.S. mint is in West Point, NY.
The first U.S. Mint was established in 1792 in Philadelphia. The first circulating coins were cents and half-cents released in 1793.
The US Mint had not yet been established in 1770 and therefore there are no 1770 US silver dollars.
US Mint Philadelphia, PA US Mint West Point, NY US Mint Denver, CO US Mint San Francisco, CA
Please check again and post a new question. The US Mint wasn't established until 1792-93 and the first silver dollars were minted in 1794.