Here is a list of the topics in this section linear

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ln (1.02 ) 6t ln1.6 = 6t ln (1.02 ) t= ln1.6 0.470003629246 = = 3.956 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.

Ask a homework question - tutors are online