This preview shows page 1. Sign up to view the full content.
Unformatted text preview: ln (1.02 ) 6t ln1.6 = 6t ln (1.02 )
6 ln (1.02 ) 6 ( 0.019802627296 ) In this case we need to keep the amount slightly longer to reach $4000.
[Return to Problems] Exponential Growth and Decay
There are many quantities out there in the world that are governed (at least for a short time
period) by the equation, Q = Q0ek t
where Q0 is positive and is the amount initially present at t = 0 and k is a non-zero constant. If k
is positive then the equation will grow without bound and is called the exponential growth
equation. Likewise, if k is negative the equation will die down to zero and is called the
exponential decay equation.
Short term population growth is often modeled by the exponential growth equation and the decay
of a radioactive element is governed the exponential decay equation. Example 3 The growth of a colony of bacteria is given by the equation,
Q = Q0e0.195 t
If there are initially 500 bacteria present and t is given in hours determine each of the following.
(a) How many bacteria are there a...
View Full Document
This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12