Respuesta :

Answer:

6.78%

Explanations;

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%