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
Algebra.Com
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
Answer by ankor@dixie-net.com(22740) (Show Source): 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.
RELATED QUESTIONS
Use the approximate doubling time formula (rule of 70) for the case described below.... (answered by stanbon)
Compare the doubling times found with the approximate and exact doubling time formulas.... (answered by Theo)
This question deals with an exact formula. In the following exercise use the approximate... (answered by stanbon)
The Consumer Price Index is increasing at a rate of 5% per year. By what factor will... (answered by Theo,ikleyn)
The Consumer Price Index is increasing at a rate of 6%
per year. What is its... (answered by Theo)
This question deals with the half-life formula. Use the approximate half-life formula in... (answered by stanbon)
The rule of 72 states that if an investment earns p % interest per year, it will take... (answered by Theo)
I have never been good at word problems I am not sure how to solve or even write the... (answered by stanbon)
In 2000, the population of Littletown was 16 thousand. Use the given doubling time to... (answered by math_tutor2020)