Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 4.8​% per year. That​ is, N′(t)=0.048N(t).   ​a)   Find the function that satisfies this equation. Assume that t=0 corresponds to 2006​, when approximately 450,000 patent applications were received. ​b)   Estimate the number of patent applications in 2021.

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