Final answer:
When using exponential growth and logarithm principles in Mathematics, it can be determined that at a growth rate of 19%, the demand for oil in a particular country will double that of 2012 in approximately 4 years.
Step-by-step explanation:
The question involves exponential growth concepts in mathematics. We have an annual growth rate of 19%, and we are looking for when the demand will be double that of 2012.
If we start from the initial demand in 2012 (which we'll call A), the formula representing the exponential growth is A * (1 + r/100)^t = 2A, where r is the percentage rate of growth (19% in this case, so r = 19) and t is time in years.
Solving the equation for t: (1 + 19/100)^t = 2. This can be simplified to: 1.19^t = 2.
To find t, we use log function and the property of log that allows us to bring down t: t * log(1.19) = log(2).
Therefore t = log(2) / log(1.19).
When you calculate this, you get a value of approximately 3.8, meaning it would take just under 4 years for the demand for oil to double from the 2012 level.
Learn more about Exponential Growth