SOLUTION: Doubling time formula. Use the approximate doubling time formula in exercise. Be sure to discuss whether the formula is valid for the case described.
20. Oil consumption is incr
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20. Oil consumption is incr
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Question 112025This question is from textbook Essentials of using and understanding mathematics
: Doubling time formula. Use the approximate doubling time formula in exercise. Be sure to discuss whether the formula is valid for the case described.
20. Oil consumption is increasing at a rate of 1.9% per year. What is its doubling time? By what factor will oil consumption increase in a decade? This question is from textbook Essentials of using and understanding mathematics
You can put this solution on YOUR website! Doubling time formula. Use the approximate doubling time formula in exercise. Be sure to discuss whether the formula is valid for the case described.
20. Oil consumption is increasing at a rate of 1.9% per year. What is its doubling time? By what factor will oil consumption increase in a decade?
:
The doubling time formula: A = Ao[2^(t/d)]
where
Ao is the initial amt
A = resulting amt
t = time
d = doubling time
:
I don't think this formula will do the job; we don't know t or d:
:
How about 2 = 1(1+.019)^t, similar to the compound interest formula
or just
1.019^t = 2
:
t*ln(1.019) = ln(2)
:
.0188217t = .63147
:
t = .63147/.0188217
:
t = 36.8 years to double
:
Check it on a calc: enter: 1.019^36.8 = 1.99899 ~ 2
:
By what factor will oil consumption increase in a decade?
:
Since you know the doubling time (d) and t, you can use the doubling formula
A = 1[2^(10/36.8)
A = 2^.2717
A = 1.2072 is the factor for amt in a decade
:
Hope this helps you.
