Swedish to English Bus/Financial Finance (general)

I'd like to hear your suggestion for the most unambiguous word in english that describes an invoice or bill that you're supposed to pay after receiving your goods/services. The bill/invoice could be presented to you at the same time as the goods or service is delivered, or after delivery.
This is opposed to "förhandsfaktura" which you must pay beforehand in order to receive the goods/service.
Perhaps there is no such clear distinction in English?

I also understand that there might be different preferences to UK/US/AUS, I'd be interested to know the preferred word for each variety. Thanks for taking your time