Sarah is going to borrow money for her college expenses. Her local credit union will lend Sarah $15,000 now at a nominal interest rate of 4% per year,compounded quarterly. Then after two years, the credit union will lend her an additional $15,000 at a higher interest rate of 6% per year compounded annually. Sarah will repay these loans over four years when she graduates. How much does Sarah owe the credit union when she graduates?

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