Answer :
The population of dear is predicted to decline by 5% this year.
If the current population is;
[tex]P_0=560[/tex]Then the population predicted for next year would be;
[tex]\begin{gathered} P_1=P_0-5\text{ \% of }P_0 \\ P_1=P_0-\frac{5}{100}P_0 \\ P_1=P_0-0.05P_0 \\ P_1=0.95P_0 \end{gathered}[/tex]Substituting the value of the current population, we have;
[tex]\begin{gathered} P_1=0.95(560) \\ P_1=532 \end{gathered}[/tex]Therefore, the predicted population for next year is 532.