Below is an context that describes a sql query, paired with an question that provides further information. Write an answer that appropriately completes the request.  # noqa: E501
### Context:
CREATE TABLE table_name_84 (joined INTEGER, conference_championships VARCHAR, institution VARCHAR)
### Question:
What is the latest year joined with a Conference championships of 5, and an Institution of university of north carolina?
### Answer:
SELECT MAX(joined) FROM table_name_84 WHERE conference_championships = 5 AND institution = "university of north carolina"