The population of Nilam doubles in size every 6yr. In 1986​, its population was 20,000.   ​a) Find an exponential function of the form P(t)=P0nt/T that models​ Nilam's population after t years. ​b) Find the equivalent exponential model of the form P(t)=P0ert. ​c) What is​ Nilam's yearly percentage growth​ rate?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The population of Nilam doubles in size every 6yr. In 1986​, its population was 20,000.
 
​a) Find an exponential function of the form P(t)=P0nt/T that models​ Nilam's population after t years.
​b) Find the equivalent exponential model of the form P(t)=P0ert.
​c) What is​ Nilam's yearly percentage growth​ rate?
​d) Without using a​ calculator, find​ Nilam's population in 1998.
​e) How fast was​ Nilam's population changing in 1996​?
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