Michael and his family have settled permanently in Brazil.

permanently 是形容词 permanent 的副词形式。permanent 由前缀 per-（表示"完全、彻底"）和词根 man（来自拉丁语 manere，意为"停留"）加上后缀 -ent 构成，意思是"永久的、持久的"。permanently 表示"永久地、长期地"。