Question

Use the compounding formula V_f = V_i (1+r)ⁿ . Calculate how much the human brain has increased per generation from about 4 million years ago until now, using a starting volume of 400 ml as a starting value and the present value of 1400 ml as the final value, with an estimated generation time of 15 years. Please show each step!

Answer 1

Compounding formula :

where,

Vf = Present value

Vi = initial value

r = rate of increase per generation

n = no. of generation

First, find no. of generation(n) in 4 millions year if each generation has 15 years

and

Vf = 1400

Vi = 400

putting the values in compounding formula to find (r) :

Thus, Per generation human brain has increased over 4 millions years at rate of 0.000469787217%

Please refer to below spreadsheet for calculation and answer. Cell reference also provided.