Concept explainers
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
- (a) Find the first five terms of the sequence.
- (b) Find the population in 2014.
(a)
To find: First five terms of population increment.
Answer to Problem 79E
The first 5 terms of population increment from year
Explanation of Solution
Given:
Population of city in
Rate of increment of population per year is
The population n years after
Calculation:
Substitute 1 for n in equation (1) to calculate population after one year,
Substitute 2 for n in equation (1) to calculate population after two years,
Substitute 3 for n in equation (1) to calculate population after three years,
Substitute 4 for n in equation (1) to calculate population after four years,
Substitute 5 for n in equation (1) to calculate population after five years,
Thus the first 5 terms of population increment from year
(b)
To find: Population in year
Answer to Problem 79E
The population in year
Explanation of Solution
Given:
Population of city in
Rate of increment of population per year is
The population n years after
Calculation:
Substitute
Thus the population in year
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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