Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 4.3​% per year. That​ is, N′(t)=0.043N(t).   a)Find the function that satisfies this equation. Assume that t=0 corresponds to 2006​, when approximately 454,000 patent applications were received.   b)Estimate the number of patent applications in 2020.   c) Estimate the rate of change in the number of patent applications in 2020.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 4.3​% per year. That​ is, N′(t)=0.043N(t).
 
a)Find the function that satisfies this equation. Assume that t=0 corresponds to 2006​, when approximately 454,000 patent applications were received.
 
b)Estimate the number of patent applications in 2020.
 
c) Estimate the rate of change in the number of patent applications in
2020.
 
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