Answer: the population in 2005 is
199393207
Step-by-step explanation:
The formula for exponential growth which is expressed as
A = P(1 + r/n)^ nt
Where
A represents the population after t years.
n represents the periodic interval at which growth is recorded.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 173 million
A = 178 million
t = 1997 - 1995 = 2 years
n = 1
Therefore
178 × 10^6 = 173 × 10^6(1 + r/1)^2 × 1
178 × 10^6/173 × 10^6 = (1 + r)^2
1.0289 = (1 + r)^2
Taking square root of both sides, it becomes
√1.0289 = √(1 + r)^2
1 + r = 1.0143
r = 1.0143 - 1 = 0.0143
Therefore, in 2005,
t = 2005 - 1995 = 10
A = 173 × 10^6(1 + 0.0143)^10
A = 173 × 10^6(1.0143)^10
A = 199393207
