A population declines by 0.7% each year. By what percentage does it decline each decade? (Round your answer to two decimal
places.)
X %

6.78%
If a population declines by 0.7% each year, then the remaining population will be (1-0.7%) of the previous year.
This can be expressed after one decade (10 years) as;
[tex]\begin{gathered} p=(1-\frac{0.7}{100})^{10} \\ p=(1-0.007)^{10} \\ p=(0.993)^{10} \\ p=0.9322 \end{gathered}[/tex]The percentage of decline per decade will be expressed as:
[tex]\begin{gathered} \%decline=1-0.9322 \\ \%decline=0.0678=6.78\% \\ \end{gathered}[/tex]This shows that the population declines each decade by 6.78%