Stack Overflow - Why is my Spring @Autowired field null?

@Controller
public class MileageFeeController {    
    @RequestMapping("/mileage/{miles}")
    @ResponseBody
    public float mileageFee(@PathVariable int miles) {
        MileageFeeCalculator calc = new MileageFeeCalculator();
        return calc.mileageCharge(miles);
    }
}
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@Service
public class MileageFeeCalculator {

    @Autowired
    private MileageRateService rateService; // <--- should be autowired, is null

    public float mileageCharge(final int miles) {
        return (miles * rateService.ratePerMile()); // <--- throws NPE
    }
}
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@Service
public class MileageRateService {
    public float ratePerMile() {
        return 0.565f;
    }
}