Answer:
y=-4/3
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply all terms by the same value to eliminate fraction denominators
Simplify
Divide both sides of the equation by the same term
Simplify
Answer:
linear functions change a constant rate. i.e. the slope of the graph is constant.
d/dx (mx+b) = m
quadratic functions change at a linear rate, slower than the function itself.
The slope of the tangent to the graph is proportional to the x coordinate.
d/dx (ax^2) = 2ax
Slope of tangent to ax^2 at point (x,ax^2) is 2ax.
Exponential functions change at the same rate as the function itself. The slope of the tangent to the graph is proportional to the y coordinate.
The slope of tangent at point (x,exp(x)) is exp(x).
Definition of exp(x) is just exp(0) = 1 and d/dx exp(x) = exp(x).
d/dx exp(ax) = a exp(ax) is not part of the definition, but follows from from the chain rule
Step-by-step explanation:
Answer: a) 8.67%, b) 7.64%.
Step-by-step explanation:
Since we have given that
Stock has returns is given by
11 percent, 18 percent, 20 percent, −13 percent, 25 percent, and −9 percent
Number of years = 6
Arithmetic average returns for the stock is given by
Geometric average returns for the stock is given by
![[(1+0.11)\times (1+0.18)\times (1+0.20)\times (1-0.13)\times (1+0.25)\times (1-0.09)]^{\frac{1}{6}}-1\\\\=[1.11\times 1.18\times 1.20\times 0.87\times 1.25\times 0.91]^{\frac{1}{6}}-1\\\\=7.64\%](https://tex.z-dn.net/?f=%5B%281%2B0.11%29%5Ctimes%20%281%2B0.18%29%5Ctimes%20%281%2B0.20%29%5Ctimes%20%281-0.13%29%5Ctimes%20%281%2B0.25%29%5Ctimes%20%281-0.09%29%5D%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D-1%5C%5C%5C%5C%3D%5B1.11%5Ctimes%201.18%5Ctimes%201.20%5Ctimes%200.87%5Ctimes%201.25%5Ctimes%200.91%5D%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D-1%5C%5C%5C%5C%3D7.64%5C%25)
Hence, a) 8.67%, b) 7.64%.
The answer is D because of the slope.
