SOLUTION: Please help A city has a population of 400,000 people. Suppose that each year the population grows by 3.5%. What will the population be after 10 years? Round answer to neares

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Question 1173071: Please help
A city has a population of 400,000 people. Suppose that each year the population grows by 3.5%. What will the population be after 10 years?
Round answer to nearest whole number.

Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
A city has a population of 400,000 people. Suppose that each year the population grows by 3.5%. What will the population be after 10 years?
Yes, Good to Consider what happens after one year:
100% + 3.5% = 103.5% (at the close of the first year population is 1.0325 greater)
After 10 years, the population will be:
P%5B10%5D = 400,000 (1.035)^10 = 564,240 rounded to the nearest whole number
Wish You the Best in your Studies.

Answer by ikleyn(52791) About Me  (Show Source):
You can put this solution on YOUR website!
.

For given problem, the formula for the population is 


    P(t) = P%280%29%2A%281%2B0.035%29%5Et


where "t" is the time, in years.


Substitute  P(0) = 400000,  t = 10


    P(10) = 400000%2A1.035%5E10 = 564,240  (rounded).    ANSWER

Solved.

Do not accept any other answer.

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See the lesson
    - Population growth problems
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.