Manraj and Lifei are both investing $1000. Manraj invests his $1000 in an account compounding monthly with an APR of r. Lifei splits his investment into two accounts. Both accounts compound monthly at an APR of r (the same rate as Manraj), but with $700 in the first account, and $300 in the second. Compare the value of these accounts after N years. Be sure to clearly explain your reasoning