SOLUTION: The population
N(t) (in millions)
of a country t years after 1980 may be approximated by the formula
N(t) = 217e0.0102t.
When will the population be twice what it was in 19
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-> SOLUTION: The population
N(t) (in millions)
of a country t years after 1980 may be approximated by the formula
N(t) = 217e0.0102t.
When will the population be twice what it was in 19
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Question 1149203: The population
N(t) (in millions)
of a country t years after 1980 may be approximated by the formula
N(t) = 217e0.0102t.
When will the population be twice what it was in 1980? (Round your answer to one decimal place.) Answer by jim_thompson5910(35256) (Show Source):
Plug t = 0 into the function to find the population in 1980
In 1980, there are 217 million people in that country.
Double this to get 2*217 = 434
The goal is to find the value of t such that N(t) = 434.
We will use the natural logarithm function to help isolate t.
Also, we'll use the log rules
log rule 1:
log rule 2:
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Replace N(t) with 434
Divide both sides by 217
Apply natural logs to both sides
Use log rule 1
Use log rule 2
Divide both sides by 0.0102
Use a calculator. This is approximate
Round to the nearest tenth (one decimal place)
It will take about 68 for the population to double.
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