This verse illustrates why we should not read our creed into a Bible verse. Luke says that those who were appointed to eternal life believed. Look closely. Luke does not say that those Gentiles were appointed to believe. Calvinist theologians often cite this verse as a proof-text on election. But all Luke says is that the set God appointed to eternal life was the same set (no more, no less) who believed. The verse is harmonious with Calvinist doctrine. It is equally harmonious with Arminian doctrine. It could be that God from eternity past unconditionally appointed these Gentiles to everlasting life, and their faith was the out-working of God's plan. It could be that God from eternity past foresaw these Gentiles' faith in Christ, and so He appointed them to eternal life. When you confine your analysis to just the verse, and don't try to inject creed into it, it can potentially go either way. Don't try to make Bible verses say more than they say.
Jack is the teaching elder of Ironworks Pike Community Church. He is a graduate of Columbia Biblical Seminary http://www.ciu.edu.