Chapter Sections 4.7-4.9

Question 0

What is the equation for compounding continuously?

And what do the letters represent?

Answer 0

A=P e^rt
P is present value
R is interest rate
T is time 
A is amount after time

Question 1

What is the equation for compound interest?

And what do the letters represent?

Answer 1

A=P(1+r/n)^nt
A is the amount after time 
P is the present value 
R is the interest rate always change to decimal 
N is compounding times per year 
T is time

Question 2

What is the equation for logistic growth/decay? And what does each letter represent?

Answer 2

P(t)=c/(1+ae)^-bt
C is carrying capacity 
B is growth or decay rate
T is time 
A is the initial amount present

Question 3

What is the equation for exponential growth and decay?

And what do the letters represent?

Answer 3

A= Ai e^kt
A is final amount 
Ai is initial amount 
K is some constant 
T is time