The meanings are slightly different in the UK. We don't use "bill" typically to mean a banknote.
In the UK, a company or individual might have an arrangement with a supplier, with an agreed credit limit. This is an account. For example, an office would have an account with a stationery company, allowing them to ring up and order equipment and then pay for it all together at the end of
Lil' Ruby Rose, it is really confusing! It kind of makes me sad about learning languages... it's so difficult to memorize so many differences. anyway...