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Juan buys a bicycle in a sale. He gets a discount of 30% off the original price of 800 USD and pays 560 US

   

Juan buys a bicycle in a sale. He gets a discount of 30% off the original price of 800 USD and pays 560 US dollars (USD). To buy the bicycle, Juan takes a loan of 560 USD for 6 months at a nominal annual interest rate of 75%, compounded monthly. Juan believes that the total amount he will pay will be less than the original price of the bicycle. Calculate the difference between the original price of the bicycle and the total amount Juan will pay.

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