Special Exponential Equations!!

Question 1

Half Life (def)

Answer 1

the time it takes for a substance to decrease by exactly 50%

Question 2

Half Life (formula)
A = initial amount
B = current amount after t years
t = time in years
h = half life

Answer 2

B = A(1/2)^t/h

Question 3

Natural Base e (def)

Answer 3

≃2.71818284
the rate at which money compounds constantly

Question 4

Exponential Natural Base Function

Answer 4

e^x

Question 5

Newton’s Law of Cooling (def)

Answer 5

relates the environmental temperature to the initial temperature of an object

Question 6

Newton’s Law of Cooling (formula)
T1 = the temperature of the surrounding environment
T0 = the initial temperature of the object
k = constant (different for each object)

Answer 6

T(t) = T1 + (T0 - T1)e^kt
i have no idea

Question 7

Basic Exponential Growth
A = amount
P = principal
r = rate of growth
t = time

Answer 7

A = P(1 + r)^t

Question 8

Basic Exponential Decay
A = amount
P = principal
r = rate of decay
t = time

Answer 8

A = P(1 - r)^t

Question 9

Compound Interest
A = balance
P = principle
r = annual interest rate
n = # of times per year compounded
t = time in years

Answer 9

A = P(1 + r/n)^nt