MathHelp^.me

$$a^2 + b^2 = c^2$$

$$A = lw \quad P = 2(l+w)$$

$$ax^2 + bx + c = (px + q)(rx + s)$$

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

$$m = \frac{y_2 - y_1}{x_2 - x_1}$$

$$y = mx + b$$

$$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$$

$$A = P\!\left(1 + \frac{r}{n}\right)^{nt}$$

$$\frac{d}{dx}\left[x^n\right] = nx^{n-1}$$

$$\frac{d}{dx}[f(g(x))] = f'(g(x)) \cdot g'(x)$$

$$\%\,\text{change} = \frac{\text{new} - \text{old}}{|\text{old}|} \times 100$$

$$ROI = \frac{\text{gain} - \text{cost}}{\text{cost}} \times 100$$

$$t \approx \frac{72}{r}$$

$$Q = \frac{FC}{P - VC}$$

$$FV = PV\,(1 + r)^t$$

$$FV = PMT \cdot \frac{(1+r)^n - 1}{r}$$

$$M = P \cdot \frac{r(1+r)^n}{(1+r)^n - 1}$$