Congratulations! You have won $50,000 in lotto! You decide to invest your money and the bank presents you with two options. You may either invest your $50,000 at 5% interest compounded monthly for a period of 10 years OR you can invest $50,000 at 5% interest compounded continuously for 10 years. By defining variables, model exponential functions for each option. Then use the functions to algebraically calculate which option will yield a greater profit.