You Have $100,000 That You Want to Invest

Short Answer

You have $100,000 that you want to invest.Some "business men" are willing to sell you a machine for your $100,000 that prints money.You figure that every day you can print $200 with the machine, and you would deposit the $200 each day in a "special" bank account at BCCI.Your friends at BCCI will only be able to offer you 5% nominal annual interest, compounded continuously, due to the "sensitive nature" of the transaction.It would be your intention to print money each day for one year.If you were depositing the money that you printed in a continuous stream at a constant rate of $200 per day into the bank account, then find and evaluate a definite integral that gives your balance after one year.Round to the nearest dollar.