AnsYou Have $100,000 That You Want to Invest

AnsYou 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 $310 with the machine, and you would deposit the $310 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 $310 per day into the bank account, then find and evaluate a definite integral that gives your balance after one year.If you had just taken the original $100,000 and placed it in a regular bank account that compounds interest annually, then what interest rate would you have had to earn in order for this option to be more profitable than the money machine (legal concerns aside)? Round to 2 decimal places.