11 Adv Math, Log & Expo Function Starter L-3.4

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

• $A=p\left(1-\frac{r}{n}\right)^{nt}$

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

• $A=p\left(1+\frac{r}{n}\right)^{rt}$

• $A=ep^{rt}$

• $A=pe^{rt}$

• $e=Ap^{rt}$

• $A=er^{pt}$

Identify the formula for exponential growth.

•  $N\ =\ N_0\left(1+r\right)^t,\ \ \ r<0$  

•  $N\ =\ N_0\left(1+r\right)^t,\ r>0$  

•  $N\ =\ N_0e^{kt},\ \ \ \ \ \ k<0$  

•  $N\ =\ N_0e^{kt},\ \ \ \ \ \ k>0$  

Tags

CCSS.HSF-LE.A.1A

Identify the formula for exponential decay.

•  $N\ =\ N_0\left(1+r\right)^t,\ \ \ r<0$  

•  $N\ =\ N_0\left(1+r\right)^t,\ r>0$  

•  $N\ =\ N_0e^{kt},\ \ \ \ \ \ k<0$  

•  $N\ =\ N_0e^{kt},\ \ \ \ \ \ k>0$  

Tags

CCSS.HSF-LE.A.1A

Identify the formula for continuous exponential decay.

•  $N\ =\ N_0\left(1+r\right)^t,\ \ \ r<0$  

•  $N\ =\ N_0\left(1+r\right)^t,\ r>0$  

•  $N\ =\ N_0e^{kt},\ \ \ \ \ \ k<0$  

•  $N\ =\ N_0e^{kt},\ \ \ \ \ \ k>0$  

Tags

CCSS.HSF-IF.C.8B

Identify the formula for continuous exponential growth .

•  $N\ =\ N_0\left(1+r\right)^t,\ \ \ r<0$  

•  $N\ =\ N_0\left(1+r\right)^t,\ r>0$  

•  $N\ =\ N_0e^{kt},\ \ \ \ \ \ k<0$  

•  $N\ =\ N_0e^{kt},\ \ \ \ \ \ k>0$  

 $\log_bx=y,\ if\ and\ only\ if\$  

•  $y=\ b^x$  

•  $x=b^y$  

•  $b=x^y$  

•  $b=y^x$  

Tags

CCSS.HSF.BF.B.5

 $\log_xx^y\ =\$  

What is the base of natural log or ln x

Tags

CCSS.HSF.BF.B.5

Evaluate

 $\ln\ e^x=\ ?$   

Tags

CCSS.HSF.BF.B.5