Patient has a HDHP with a $$5000$ deductible. Co$-$pays for the plan are $$30$ for office visits, $$100$ for ED visits, and $$500$ for IP hospitalizations. The patient also has co$-$insurance of $80/20.$

Patient presents on January $3$ to the ED$.$ This is the first healthcare visit of the year for the patient. Total charges are $$4700.$ How much will the insurance owe and how much will the patient owe?