How a Dollar a Day Really CAN Turn into $30,000 in a Year! (With the Magic of Compound Growth)

Featuring an amazing factoid from @carolinebaniewicz ! This video is mostly a joke (though the math is real), but if you want to know more about how compound interest really is deeply connected to mathematics, check out this video on Euler’s number: Can a dollar a day turn into $30,000? It can, but it requires two things: water and sunlight. Check out the main channel @polymathematic ! Wait, no, that’s a different video. It requires a positive growth rate and time. These two things together produce a phenomenon known as compound growth or compound interest. Their power comes from exponentiality. As long as your base is greater than one (which is equivalent to your exponential rate being above 1), your investment WILL grow. And it will grow more the longer time goes on. Now, for something to grow from a meager dollar a day to $30,000 after only a year requires a % daily growth rate. Which doesn’t sound like a l