Tutor profile: Dane M.
What kinds of math are they going to ask on the SAT?
The SAT isn't going to ask you any sort of crazy math question with symbols you've never seen before! In fact, by your junior year of high school you probably have experience with all the math you'll need. So the tricky part of the math section of the SAT isn't the actual math, but understanding the questions (and that's where I can help!)
Where are the points of inflection in the equation: 5x^3+2x^2-1?
For inflection points we find the second derivative and set it equal to zero: The first derivative of this function is 15x^2+4x The second derivative is 30x+4 If we set 30x+4=0 we find the inflection point for this function is at -4/30
If the Federal Reserve decides to raise interest rates this summer, how will that affect the yield curve and bond prices?
The Federal Reserve doesn't actually have the power to raise rates, they're just able to do open market operations that push the rates in the general direction they want them to go. Regardless, when the Federal Reserve does these open market operations to raise interest rates the yield curve rises as interest rates normalize around the Federal Reserve's new expectations. Additionally, an increase in interest rates lowers bond prices as the yield to maturity on the bonds drops (bond prices and interest rates are negatively related).
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