Answer:
5
Step-by-step explanation:
If a population is decreasing by 8% we can multiply the population by 92% (1-.08)
which means we have the following equation
population=15000(.92)ⁿ
where n is the number of years
we want to know when the population will be 10,000 so we write
10,000=15,000(.92)ⁿ
.66667=.92ⁿ
a rule we have is
[tex]n=y^x\\log_yn=x[/tex]
which means that
[tex].66667=.92^n\\=log_{.92}.66667[/tex]
compute this and get
4.867
round this up to 5
