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
Algebra.Com
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): You can put this solution on YOUR website!
t = number of years after 1980
t = 0 represents the year 1980, t = 1 is 1981, and so on.
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:
------------------------------
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.
Add this to 1980 to get 1980+68 = 2048
The population will double around the year 2048
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