Question

A town has a population of 15000 and grows at 4.5% every year. To the

Answer 1

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 $N=N_oe^{rt}$

Where,

N=35900 is future population

$N_o=15000$ 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,

$t=\frac{log(\frac{N}{N_0})}{r}$

Substituting the values,

$t = \frac{log(\frac{35900}{15000})}{0.045}$

$t = \frac{log(2.393)}{ 0.045}$

$t = \frac{0.3789}{ 0.045}$

$t =8.42$

$t\approx 8$

Therefore, In 8 years the population will reach 35900.