SOLUTION: In 2004 the population of the US was 294.4 million. If the population grows at a rate of 1.05%
then the population in the year 2015 will be 294.4million(1.0105) to the 11th power
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Question 55020: In 2004 the population of the US was 294.4 million. If the population grows at a rate of 1.05%
then the population in the year 2015 will be 294.4million(1.0105) to the 11th power.
A) Evaluate the expression to find the predictrd population in 2015 to the nearest tenth of a million people.
B) Which year will the population will reach 350 million people.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You can generalise the population growth formula to predict the population n years after 2004 by:
A) The predicted population in 2015 (11 years after 2004) is:
Round to the nearest tenth of a million.
Million.
B) The year in which the predicted population will be 350 million can be found by using the formula derived above and solving for n. Remember that n is the number of years after 2004.
Set and solve for n.
Divide both sides by
Simplify.
Take the logarithm of both sides.
Divide both sides by
Use your calculator to evaluate this.
Round to 17 and add to 2004
2004 + 17 = 20021
The population should reach 350 million in the year 2021
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