Answer the following questions using the following table.

Real GDP per capita Annual growth rate

Amarr 1100 1.3%

Dodixie 900 2.1%

1. (1 point) At the given growth rates, how many years will it take for Amarr's real GDP per capita

to quintuple (increase fivefold)? _______________ 123.80

2. (2 points) At the given growth rates, how many years will it take for Dodixie to match Amarr's real

GDP per capita? _______________ 25.08

3. (2 points) At what annual growth rate must Dodixie grow in order to catch-up with Amarr in exactly

20 years? _______________ 2.30%

4. (1 point) At what annual growth rate must Amarr grow to ensure Dodixie never catches up?

_______________ 2.1%

5. (2 points) Suppose Dodixie can bomb Amarr and cause it to suffer two years of zero growth before

resuming normal growth of 1.3%. How many years will it take for Dodixie to match Amarr's real GDP if

Amarr is bombed? _______________ 21.83