Alzheimer’s Disease: As baby boomers enter their golden years, the number of people afflicted with Alzheimer’s disease is expected to rise dramatically. In a study published in the Journal of Neurology, the number of people with Alzheimer’s disease in the United States age 65 years and over is projected to be  Nt=0.00525t2+0.075t+4.7           0≤t≤4 Million in decade t, where t=0 corresponds to 2010. What is the projected number of people with Alzheimer’s disease in the United States age 65 years and over in 2030? How fast is the number of people with Alzheimer’s disease in the United States age 65 years and over projected to grow in 2030? How fast is the rate of growth of people with Alzheimer’s disease in the United States age 65 years and over projected to change in the period covered in the study?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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Alzheimer’s Disease:

As baby boomers enter their golden years, the number of people afflicted with Alzheimer’s disease is expected to rise dramatically. In a study published in the Journal of Neurology, the number of people with Alzheimer’s disease in the United States age 65 years and over is projected to be 

Nt=0.00525t2+0.075t+4.7           0≤t≤4

Million in decade t, where t=0 corresponds to 2010.

  1. What is the projected number of people with Alzheimer’s disease in the United States age 65 years and over in 2030?
  2. How fast is the number of people with Alzheimer’s disease in the United States age 65 years and over projected to grow in 2030?
  3. How fast is the rate of growth of people with Alzheimer’s disease in the United States age 65 years and over projected to change in the period covered in the study?
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