   Chapter 4.4, Problem 78E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Population Growth The population P (in thousands) of Charlotte, North Carolina, from 1980 through 2013 can be modeled by P = 321 e 0.0275 t where t = 0 corresponds to 1980. (Source: U.S. Census Bureau)(a) What was the population of Charlotte in 2013?(b) In what year will the population of Charlotte reach 1,000,000?

(a)

To determine

To calculate: The population of Charlotte in the year 2013 when the population P (in thousands) of Charlotte in North Carolina during the period 19802013 is given by the function,

P=321e0.0275t

Where, t is the time in years since 1980 and t=0 corresponds to 1980.

Explanation

Given Information:

The population P (in thousands) of Charlotte in North Carolina during the period 19802013 is given by the function,

P=321e0.0275t

Where, t is the time in years since 1980.

Calculation:

Consider that the population P (in thousands) of Charlotte in North Carolina during the period 19802013 is given by the function,

P=321e0.0275t

Where, t is the time in years since 1980 and t=0 corresponds to 1980

(b)

To determine

To calculate: The year at which the population of Charlotte would reach to 1,000,000 when the population P (in thousands) of Charlotte in North Carolina during the period 19802013 is given by the function,

P=321e0.0275t

Where, t is the time in years since 1980 and t=0 corresponds to 1980.

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