das Konto
bank account
A record of money coming in and going out for a person or company, maintained by a bank or financial institution.
Ich muss dringend Geld auf mein Konto einzahlen.
I urgently need to deposit money into my account.

account
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bank account
A record of money coming in and going out for a person or company, maintained by a bank or financial institution.
Ich muss dringend Geld auf mein Konto einzahlen.
I urgently need to deposit money into my account.

The meaning of 'Konto' (account) is easy to recognize from context. Verbs like 'einzahlen' (to deposit), 'abheben' (to withdraw), or 'überweisen' (to transfer) point to a bank account. Verbs like 'erstellen' (to create), 'löschen' (to delete), or 'sich einloggen' (to log in) refer to an online account.
Ich überweise dir das Geld morgen auf dein Konto.
I'll transfer the money to your account tomorrow.
For a bank account, there are fixed verbs you should learn: you can 'eröffnen' (open) or 'auflösen' (close) an account, 'einzahlen' (deposit) or 'abheben' (withdraw) money, and 'prüfen' (check) the account balance.
Um ein Konto zu eröffnen, benötigen Sie Ihren Personalausweis.
To open an account, you need your ID card.
In a digital context, different verbs are used with 'Konto' (account). You can 'erstellen' (create) or 'löschen' (delete) an online account, 'hacken' (hack) or 'sperren' (block) it, and 'sich einloggen' (log in) or 'sich ausloggen' (log out).
Nachdem mein Konto gehackt wurde, musste ich mein Passwort ändern.
After my account was hacked, I had to change my password.
The idiom 'auf jemandes Konto gehen' (to be someone's fault / to be attributable to someone) is always used for negative events or mistakes. The structure is fixed: something negative (subject) + 'geht auf das Konto von' + responsible person (dative).
Die zahlreichen Verspätungen gehen auf das Konto der Fluggesellschaft.
The numerous delays are the airline's fault.
bill / calculation
'die Rechnung' and 'das Konto' are often used in connection with money, but they mean very different things. A 'Rechnung' is a document with costs that you are supposed to pay. A 'Konto' is a place where money is managed, for example at a bank. In addition, 'Konto' can also mean an account for an online service. Learners sometimes confuse the words because you often pay a bill from an account. In practical terms: you receive 'die Rechnung'; you use 'das Konto' to pay or log in.

Nach der Arbeit hat Max sein Konto geprüft, weil die Miete abgebucht wurde.
After work, Max checked his account because the rent had been debited.
Zu Hause haben die Eltern gemerkt, dass sie die Rechnung für das neue Fahrrad noch nicht bezahlt haben.
At home, the parents noticed that they had not yet paid the bill for the new bicycle.