The missing part of the question is;
What is the projected number of people aged 65 and over with Alzheimer's disease in 2030 and in 2050
Answer:
In 2030, P(20) = 7.9536 (in millions)
In 2050, P(40) = 13.2688 (in millions)
Step-by-step explanation:
We are given that;
Number of people aged 65 and over in the U.S. population with Alzheimer's disease (in millions) as;
P(t) = −0.0002083t³ + 0.0157t² – 0.093t + 5.2 (4 ≤ t ≤ 40);
Where t is measured in years and t = 4 corresponds to the year 2014.
Now,
Since t = 4 represents 2014,therefore;
t = 20 would represent population in 2030
Thus in year 2030;
P(20) = −0.0002083(20)³ + 0.0157(20)² – 0.093(20) + 5.2
P(20) = 7.9536 (in millions)
Also, in year 2050, t will correspond to 40 years.
Thus;
P(40) = −0.0002083(40)³ + 0.0157(40)² – 0.093(40) + 5.2
P(40) = 13.2688 (in millions)