The bank 'assesses' [=(more commonly) 'charges, imposes'] a fee for replacing lost credit cards.
The company was 'assessed' $12 million in fines for polluting the river.
The school will 'assess' [='evaluate'] the students' progress each year.
(..) to be the face of our cause to help unite the districts against the Capitol. In exchange, I have promised several concessions. First, we'll assess all opportunities for the extraction of the Victors held hostage in the Capitol. Peeta Mellark, Johanna Mason... (..)2014 The Hunger Games: Mockingjay - Part 1