Suppose that the amount of the world's computer hard disk storage increases by a total of 300% over a 9-year period. What is the continuous growth rate for the amount of the world's hard disk storage?
A) 7.7%
B) 0.9%
C) 15.4%
D) 1.7%

Question

Quizplus · Accepted Answer

The continuous growth rate is given by the formula r = ln(1 + g/100) / t, where g is the growth rate in percentage and t is the time in years. In this case, g = 300% and t = 9 years, so r = ln(1 + 300/100) / 9 = ln(4) / 9 = 0.154 = 15.4%.

Suppose That the Amount of the World's Computer Hard Disk