Answer:
The predicted national health expenditures per capital in 2020 is 13314.04
Step-by-step explanation:
Solution
Given that,
de/dt = 41.22t -116.4
⇒∫dt =∫( 41.22t -116.4) dt
E = 20.61 t² -116.4 e+ c
But at e (14) = E becomes = 98.08
⇒9808 = 20.61(14)² - 116.4 (ln) + c =7348.04
Then,
E = 20.61 t² - 116.4 (t) + 7348.04
Thus in 2020,
t =20
E = 20.61 (20)² - 116.4 (2)² + 7348.04
= 13314.04