Chapter 20, Problem 32P

An economy starts off with a GDP per capita of $\$\text{5},000$.

How large will the GDP per capita be if it grows at an annual rate of $\text{2}\%$ for $\text{2}0$ years? $\text{2}\%$ for $\text{4}0$ years? $\text{4}\%$ for $\text{4}0$ years? $\text{6}\%$ for $\text{4}0$ years?