A health insurance policy pays $80$ percent of physical therapy costs after a deductible of $$500.$ In contrast, an HMO charges $$30$ per

visit for physical therapy. How much would a person save with the HMO if he or she had $10$ physical therapy sessions costing $$125$

each? $($Do not round intermediate calculations. Round your final answer to the nearest whole dollar.$)$

Answer is complete but not entirely correct.