You have $$25,000$ you want to invest for the next $40$ years. You are offered an investment plan that will pay you $6$ percent per year for the next $20$ years and $10$ percent per year for the last $20$ years. How much will you have at the end of the $40$ years? Does it matter if the investment plan pays you $10$ percent per year for the first $20$ years and $6$ percent per year for the next $20$ years? Why or Why not?