Chapter 10:5-13 talks about the great hope anyone can have in Jesus Christ. And it's always been this way. Often, people think of the old testament as the time when people were saved by following a bunch of rules and preforming sacrifices. But even Moses wrote about righteousness based on the law verses righteousness based on faith. Those who base their righteousness on the law must live by the law, meaning a strict adherence to the law is required for salvation; and NO ONE can follow the law perfectly. But righteousness based on faith allows for verse 9. "...if you confess with your mouth that Jesus is Lord and believe in your heart that God raised him from the dead, you will be saved." And verses 12 and 13 tell us everyone who called on the name of the Lord will be saved, Jews and Gentiles.
Praise God for The Free Gift of Salvation.