Question

The population, P, of Johnstown over a period of t years since the town
was founded can be estimated by P = 5,600e0.0591
In approximately how many years after the town's founding will the
population reach 11,200?

Answer 1

Answer:

12 years

Step-by-step explanation:

Given that

P = 5,600 e^0.0591

Reaching amount = 11,200

time period = t

We need to find out the time period i.e. t

So,

11,200 =  5,600 e^0.0591t

2 =  e^0.0591t

Now take the log on both the sides

ln2 = 0.0591t ln

t = ln2 ÷ 0.059

= 0.693147÷ 0.059

= 11.748

= 12 years