Formal:
* "Ðanc sceal ic þe for þam" (Thank I owe you for that) - This is a very formal and traditional way of expressing gratitude.
* "Ðanc sceal ic þe agifan" (Thank I owe you to give) - This is another formal option, similar in meaning to the first.
Informal:
* "Ðanc þe" (Thank you) - This is a more common and informal way to say thank you.
* "Ðanc" (Thanks) - This is a very concise and informal way to express gratitude.
Other options:
* "Ðanc sie þe" (Thank be to you) - This is a more poetic way to express gratitude.
* "Ic eom þe Ðancfull" (I am grateful to you) - This is a more formal way of saying "thank you," emphasizing the feeling of gratitude.
It's important to note that Old English is a complex language, and the nuances of these expressions can vary depending on the specific context.