Assess

1. v. To fix or determine the rate or amount of.
2. v. To value; to make a valuation or official estimate of for the purpose of taxation.
3. v. To apportion a sum to be paid by (a person, a community, or an estate), in the nature of a tax, fine, etc.; to impose a tax upon (a person, an estate, or an income) according to a rate or apportionment.
4. v. To determine and impose a tax or fine upon (a person, community, estate, or income); to tax; as, the club assessed each member twenty-five cents.

The word meanings were obtained from OPTED(The Online Plain Text English Dictionary), which is based on “The Project Gutenberg Etext of Webster’s Unabridged Dictionary” which is in turn based on the 1913 US Webster’s Unabridged Dictionary (See Project Gutenburg), as a text file.