Answer:
9667
Step-by-step explanation:
The population is 8914 in 2000. We must exlude the growth in 2000. Therefore, the population grows for 6 years. We can write an expression for the population growth. The growth rate applies to the total population of the previous year. So for year 2001 the population will be:
[tex]=(8914*0.0136)+8914=9035.23[/tex]
So for 2002 we will take 2001 population and multiply it by the growth rate and add 2001 population to get 2002 total population:
[tex]=(9035.23*0.0136)+9035.23=9158.11[/tex]
For 2003:
[tex]=(9158.11*0.0136)+9158.11=9282.66[/tex]
For 2004:
[tex]=(9282.66*0.0136)+9282.66=9408.9[/tex]
For 2005:
[tex]=(9408.9*0.0136)+9408.9=9536.85[/tex]
For 2006:
[tex]=(9536.85*0.0136)+9536.85=9666.55[/tex]
The population in 2006 is 9667