The exponential function N = 5000 x 1.73d, where d is measured in decades, gives the number of individuals in a certain population. (Round decimal answers to two decimal places unless otherwise indicated and report percents to the nearest percent.) 5000·1.73¹.6 (a) Calculate N(1.6). N(1.6) = 12018.32 Explain what your answer means. The population is about 12018.32 people after 16 (b) What is the percentage growth rate per decade? 73 % 5000-1.731 = 8650-3000 = 3650 5000 (c) What is the yearly growth factor rounded to three decimal places? 1.056 1.73/10 = 1.056 What is the yearly percentage growth rate? % 105.6% (d) What is the growth factor for a century? 240.138 % years. 10 1.73 = 240.138 What is the percentage growth rate per century? 24013.8% = 0.73 =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter4: Exponential Functions
Section4.2: Constant Percentage Change
Problem 25SBE: Round each percentage increase or decrease that you calculate to nearest tenth of a percent....
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The exponential function N = 5000 x 1.73d, where d is measured in decades, gives the number of
individuals in a certain population. (Round decimal answers to two decimal places unless otherwise
indicated and report percents to the nearest percent.)
5000·1.73¹.6
(a) Calculate N(1.6).
N(1.6) = 12018.32
Explain what your answer means.
The population is about 12018.32 people after 16
(b) What is the percentage growth rate per decade?
73
%
5000-1.731 = 8650-3000 = 3650
5000
(c) What is the yearly growth factor rounded to three decimal places?
1.056
1.73/10
= 1.056
What is the yearly percentage growth rate?
%
105.6%
(d) What is the growth factor for a century?
240.138
%
years.
10
1.73 = 240.138
What is the percentage growth rate per century?
24013.8%
= 0.73 =
Transcribed Image Text:The exponential function N = 5000 x 1.73d, where d is measured in decades, gives the number of individuals in a certain population. (Round decimal answers to two decimal places unless otherwise indicated and report percents to the nearest percent.) 5000·1.73¹.6 (a) Calculate N(1.6). N(1.6) = 12018.32 Explain what your answer means. The population is about 12018.32 people after 16 (b) What is the percentage growth rate per decade? 73 % 5000-1.731 = 8650-3000 = 3650 5000 (c) What is the yearly growth factor rounded to three decimal places? 1.056 1.73/10 = 1.056 What is the yearly percentage growth rate? % 105.6% (d) What is the growth factor for a century? 240.138 % years. 10 1.73 = 240.138 What is the percentage growth rate per century? 24013.8% = 0.73 =
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