invoice

nouns

an itemized statement of money owed for goods shipped or services rendered
"he paid his bill and left"; "send me an account of what I owe"

verbs

send an bill to
"She invoiced the company for her expenses"
is a type of (narrower)
demand payment
"Will I get charged for this service?"; "We were billed for 4 nights in the hotel, although we stayed only 3 nights"