Respuesta :
Answer:
So it will take 15 year from 1998 to reach population 229 thousands.
i.e. In 2013 population will be 229 thousand.
Step-by-step explanation:
Given:
Formula model population for city A=146e0.03t
To Find:
Years required to reach population 229 thousands after 1998
Solution:
Using the model ,
A=146e0.03t
here A=229
So equation becomes,
229=146e0.03t
(229/146)=e0.03t
Using log function with base 10 on both sides we get ,
Log(229/146)=log(e^0.03t)
log(1.56489)=0.03tlog(e) .................(using log property log(a^n)=nloga)
0.19548=0.03*t*0.43429
0.19548/0.013028=t
t=(0.19548/0.013028)
t=15.01
t=15 years
So it will take 15 year from 1998 to reach population 229 thousands.
