Solve the following 1,800 year old banking problem The Nine Chapters on the Mathematical Art 1 is one of the earliest surviving mathematical texts from China. It was composed over several generations by scholars from the 10th century BCE to the 2nd century CE. The problems were used for teaching. A person brings an amount of money to Shu () [an ancient Chinese state in what is now Szechuan] and invests it. The interest rate is 10:3 [ i.e. 30\%] per year. The return to investment allows five withdrawals over the next five years. They withdraw 14,000 after one year; 13,000 after two years; 12,000 after three years; 11,000 after four years; and 10,000 after five years. After the last withdrawal, the capital and accumulated interest are both exhausted. - Find the initial capital invested, and the total interest earned over the five years. - What does this tell you about the financial technology in ancient China? - What would a student learn by doing this problem? Why was this skill useful? Solve the following 1,800 year old banking problem The Nine Chapters on the Mathematical Art 1 is one of the earliest surviving mathematical texts from China. It was composed over several generations by scholars from the 10th century BCE to the 2nd century CE. The problems were used for teaching. A person brings an amount of money to Shu () [an ancient Chinese state in what is now Szechuan] and invests it. The interest rate is 10:3 [ i.e. 30\%] per year. The return to investment allows five withdrawals over the next five years. They withdraw 14,000 after one year; 13,000 after two years; 12,000 after three years; 11,000 after four years; and 10,000 after five years. After the last withdrawal, the capital and accumulated interest are both exhausted. - Find the initial capital invested, and the total interest earned over the five years. - What does this tell you about the financial technology in ancient China? - What would a student learn by doing this problem? Why was this skill useful