   Chapter 13.1, Problem 79E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Population of a City A city was incorporated in 2004 with a population of 35 , 000 . It is expected that the population will increase at a rate of 2 % per year. The population n years after 2004 is given by P n = 35000 ( 1.02 ) n (a) Find the first five terms of the sequence.(b) Find the population in 2014 .

To determine

a)

To find:

First five terms of the sequence:

Explanation

Approach:

For each n=1,2,3,4,5 we substitute in the given formula for amount after n years.

Calculation:

Substituting n=1 we get population after 1 year to be

35000(1.02)1=35700

Substituting n=2 we get population after 2 years to be

35000(1.02)2=36414

Substituting n=3 we get population after 3 years to be

35000(1.02)3=37142.3

Substituting n=4 we get population after 4 years to be

35000(1

To determine

b)

To find:

The population in 2014

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