Growth

Problem:



Solution:

The idea is that it is an exponential growth, not a linear growth. The value is multiplied by $ x $ for every unit.

The first problem is asking for $ x $, so we know $ x \times x \times x = 0.59 $, that's why $ x = 0.59^{\frac{1}{3}} $ to find the answer. The rest is just a power on top of that.

a) $ 0.59^{\frac{1}{3}} = 0.838720653 $
b) $ 0.59^{\frac{4}{3}} = 0.494845185 $
b) $ 0.59^{\frac{6}{3}} = 0.3481 $
b) $ 0.59^{\frac{1}{6}} = 0.915816932 $
b) $ 0.59^{\frac{1}{33}} = 0.984138272 $