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End time (given doubling time in consumption of a resource,start time,measurements of a growing quantity)
Formula
t2
time at the end
Td
doubling time in consumption of a resource
t1
time at the start
q1
quantity of resource at t1
q2
quantity of resource at t2
Formula description
When applied to the constant growth in consumption of a resource, the total amount consumed in one doubling period equals the total amount consumed in all previous periods. Given two measurements of a growing quantity, q1 at time t1 and q2 at time t2, and assuming a constant growth rate, This formula can be used to calculate the end time t2.