Answer:
20,158 cases
Step-by-step explanation:
Let
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:


To find number of cases in 2020, we will substitute
in our decay function as:



Therefore, 20,158 cases will be reported in 2020.
Shaded area = Circle area - Rectangle area
Shaded area = 3.14 × (4)^2 - 5 × 6
Shaded area = 3.14 × 16 - 30
Shaded area = 50.24 - 30
Shaded area = 20.24
Shaded area = 20.2