Respuesta :
Answer:
In 8 years the population will reach 35900.
Step-by-step explanation:
Given : A town has a population of 15000 and grows at 4.5% every year.
To find : How long will it be until the population will reach 35900?
Solution :
The population growth can be identified by using [tex]N=N_oe^{rt}[/tex]
Where,
N=35900 is future population
[tex]N_o=15000[/tex] is the initial population
t is the time taken
4.5%=0.045 is the rate of the growth
Rephrasing the formula to get the value of t,
[tex]t=\frac{log(\frac{N}{N_0})}{r}[/tex]
Substituting the values,
[tex]t = \frac{log(\frac{35900}{15000})}{0.045}[/tex]
[tex]t = \frac{log(2.393)}{ 0.045}[/tex]
[tex]t = \frac{0.3789}{ 0.045}[/tex]
[tex]t =8.42[/tex]
[tex]t\approx 8[/tex]
Therefore, In 8 years the population will reach 35900.
