Result used:

The exponential model is, \(A(t)=A_0e^{kt}\)

1. if k>0, the population is increasing.

2. if k

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.

\(1+ak=e^{-0.005}\)

\(ak=0.99501-1\)

\(ak=-0.00498\)

Multiply -0.00498 with 100

ak=-0.498%

\(ak\approx-0.5\%\)

Obtain the decrease percent growth of E.

\(1+ak=e^{-0.004}\)

\(ak=0.99600-1\)

\(ak=-0.00399\)

Multiply -0.00399 with 100.

\(ak=-0.399\%\)

\(ak\approx-0.4\%\)

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

The exponential model is, \(A(t)=A_0e^{kt}\)

1. if k>0, the population is increasing.

2. if k

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.

\(1+ak=e^{-0.005}\)

\(ak=0.99501-1\)

\(ak=-0.00498\)

Multiply -0.00498 with 100

ak=-0.498%

\(ak\approx-0.5\%\)

Obtain the decrease percent growth of E.

\(1+ak=e^{-0.004}\)

\(ak=0.99600-1\)

\(ak=-0.00399\)

Multiply -0.00399 with 100.

\(ak=-0.399\%\)

\(ak\approx-0.4\%\)

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