The population of a town is 176400. It increases annually at the rate of 5% per annum. What will be its population after 2 years? What was it 2 years ago?
Answers
Answer:
Total population in 2 years is 194481.
Total population 2 years ago is 160000.
Step-by-step explanation:
Given : Population of a town is 176400. If it increases at the rate of 5% per annum.
To find : What will be its population 2 years hence?
What was it 2 years ago ?
Solution :
Let P be the population, P=176400
r is the increasing rate, r=5%
t is the time (in years) t=2
It is form by an exponential function represented as
A=P(1+\frac{r}{100})^t
A=176400(1+\frac{5}{100})^2
A=176400(1.1025)
A=194481
Total population in 2 years is 194481
Two years ago the population is,
A=P(1+\frac{r}{100})^t
176400=P(1+\frac{5}{100})^2
176400=P(1.1025)
P=\frac{176400}{1.1025}
P=160000
Total population 2 years ago is 160000.
Answer:
176400×(105/100)×(105/100)
so after 2 year populatiowill be
=194481