Result used:

The exponential model is, \(\displaystyle{A}{\left({t}\right)}={A}_{{0}}{e}^{{{k}{t}}}\)

1. if \(k>0\), the population is increasing.

2. if \(k<0\), the population is decreasing

From the given four countries, it is observed that the countries D and E only have the negative k values.

Thus, Country D and Country E have the decreasing populations.

Use the formula \((1 +ak)\) to convert the continuous compound growth to annual compound growth.

Obtain the decrease percent growth of D.

\(\displaystyle{1}+{a}{k}={e}^{{-{0.005}}}\)

\(\displaystyle{a}{k}={0.99501}-{1}\)

\(\displaystyle{a}{k}=-{0.00498}\)

Multiply -0.00498 with 100

\(ak=-0.498\%\)

\(\displaystyle{a}{k}\approx-{0.5}\%\)

Obtain the decrease percent growth of E.

\(\displaystyle{1}+{a}{k}={e}^{{-{0.004}}}\)

\(\displaystyle{a}{k}={0.99600}-{1}\)

\(\displaystyle{a}{k}=-{0.00399}\)

Multiply -0.00399 with 100.

\(\displaystyle{a}{k}=-{0.399}\%\)

\(\displaystyle{a}{k}\approx-{0.4}\%\)

Thus, the population of Country D is decreasing by 0.5% and the popualtion of country E is decreasing by 0.4% each year.