Do you find yourself struggling with finding an edge from your peers? Are you good enough? Do you feel your personal statement actually shows who you are? How do you know this is a good school? Should I worry about major already?
I was in your shoes. Yes, each person has their own struggles and questions, but we do all encounter the same questions during college application process. I remember myself getting limited information in a country half the globe away and deciding things on a whim. I remember being lost and afraid, not knowing what will be next. I remember going through SAT and TOEFL, then re-writing my personal statement hundreds of time (I swore I could recite it on my death bed). But what is good? What is right? What is next? Each person has their own story. My story, I have made so many mistakes and learned from both mine and others' mistakes, and I am happy to share. You can avoid some of them for a better decision and a better future.
Is there a quick way to learn algebra and double-check so there is no mistake
Yes, Math helps a lot in your life, don't let it scare you. Believe me, you will use algebra way more often once you get older. All concepts and trickiness of power, square root, negation rule, fractions..., are not that difficult to learn. As I trained myself to do all the math in my head (no calculator allowed in high school, even for square roots), then took SAT Math I and II (which was 6 years ago, thanks God), I can help you see that Math is a good friend!
Please differentiate the concepts of Cournot and Stackelberg models.
Let's imagine you (person A) and another person (person B) both have a huge crush on a girl. If both of you, A and B, get to decide your moves (compete) simultaneously, and independently, by giving her more gifts (by the amount of output you produce), then this model is Cournot. If you are a leader in this game, who will move first and person B has to follow you, this is Stackelberg model. Once these concepts are clear, I have some shortcuts to find the right price and quantity in these models.