付 (fù) means 'to pay' or 'to hand over' — it's the common verb for paying cash (付钱) and physically transferring something (付给). 交 (jiāo) is broader: it can mean 'to hand in' (交作业) or 'to pay fees' (交学费), but 付 is more specific to direct payments and transfers. 支付 (zhī fù) is a formal compound for 'pay' in business contexts, while 递 (dì) means to pass something hand-to-hand, not to pay.