A young couple buying their first home bortow $90,000 for 30 years at 7,5%, compounded monthly, and make pyyments of $629.29. Ater 4 years, they are able to make a one-time payment of $2,000 along with their 48 th poyment. (a) Find the unbaid balance iminediately after they poy the extra $2,000 and their 4 eth payment. (Hound your answer to the nearest cent.) 3 (b) Hew many regular payments of $629.29 will amortite the unpald balance from part (a)? Give the answer to one decirial point. payments (c) How much will the remaining debt be after the number of full payment perieds in part (b) is made? (llound yeur answer to the nearest cent.) 1 How mach extra must be included with the last full payment to pay off the detet? (fhound your answer to the nearest cont.) (d) How much will the cenple pay ovar the life of the loan by paying the extra 32,0007 (fimund your answer to the nearest cent,3) (e) How much will the couple save over the life of the loan by poying the evtra 42,0007 (Use your andwer from part (b). Round your aniwer to the neerest cent)