   Chapter 2.3, Problem 18E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 15-20, find the associated exponential decay or growth model. [HINT: See Quick Examples 11-18.] Q = 50 when t = 0 ; half-life = 500

To determine

To calculate: The associated exponential decay or growth model if Q=50 when t=0 and half time is 500.

Explanation

Given Information:

The value Q=50 when t=0 and half time is 500.

Formula used:

An exponential decay function has the form,

Q(t)=Q0ekt

Here, Q(t) is the remaining amount, Q0 is the value of Q at time t=0 and k is the decay constant.

The decay constant k and half-life th for Q are related as,

thk=ln2

Calculation:

An associative decay function has the form,

Q(t)=Q0ekt

Here, Q(t) is the remaining amount, Q0 is the value of Q at time t and k is the decay constant.

Substitute Q=50 and t=0 in the expression Q(t)=Q0ekt

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