solve all the parts

ZIG ZAG, Inc. needs $300,000 to take a cash discount of 2/10, net 70 . A banker will loan the money for 60 days at an interest cost of $5,500. Required: 1. What is the annual rate on the bank loan? (Annual rate) 2. How much would it cost (in percentage terms) if the firm did not take the cash discount, but paid the bill in 70 days instead of 10 days? (Cost of forgoing cash discount) 3. Should the firm borrow to take the discount? 4. If the banker requires a 15 percent compensating balance, how much must the firm borrow to end up with the $300,000 ? 5. What would be the effective interest rate in question 4 if the interest charge for 60 days were $6,850 ? 6. Should the firm borrow with the 20 percent compensating balance? (The firm has no funds to count against the compensating balance requirement.)