Answer: The population in 2007 was 5685 .
Step-by-step explanation:
We are given that : The population of the community is [tex]P(t)=65t^2+2500[/tex] (1)
, where t is years (yr) after 2000.
For year 2007 ,
t= 2007-2000 =7
Substitute t= 7 in (1) , we get
The population in 2007= [tex]P(7)=65(7)^2+2500[/tex]
⇒The population in 2007 [tex]=65(49)+2500[/tex]
⇒The population in 2007[tex]=3185+2500[/tex]
⇒The population in 2007 [tex]=5685[/tex]
Therefore , the population in 2007 was 5685 .