Question

If the population of a certain county was 100,000 in 1998 and 110,429 in 2008, and if the formulay = P0ehtapplies to the growth of the county's population, estimate the population of the county in 2023. (P0 is the initial population. Round your value of h to four decimal places. Round your answer to the nearest whole number.)

Answer 1

Answer:

126807 people

Step-by-step explanation:

Given;

P= Poe^ht

Where;

P= population at time t

Po= population at the beginning

h= growth constant

t= time

1998- 2008 is ten years.

110429= 100,000e^10h

1.1 = e^10h

ln(1.1) = lne^10h

0.095 = 10h

h= 0.0095

In 2023, t = 25 years

P= 100,000e^(0.0095 × 25)

P= 126807 people