SOLUTION: A city has a population of 300,000 people. Suppose that each year the population grows by 4.25%. What will the population be after 15 years?

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Question 1189751: A city has a population of 300,000 people. Suppose that each year the population grows by 4.25%. What will the population be after 15 years?
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
f = p * (1 + r) ^ n
f is the future value
p is the present value
r is the interest rate per time period
n is he number of time periods.

in this problem:
p = 300,000
r = 4.25% per year = .045 per year.
n = 15 years.

in this problem, the formula becomes f = 300,000 * (1 + .045) ^ 15 = 580,584.7329.

the population in 15 years will be 580,585.



Answer by ikleyn(52784)   (Show Source): You can put this solution on YOUR website!
.


            On the way of his calculations,  @Theo made a mistake,  which led him to wrong answer.

            I came to bring a correct solution.


After 15 years, the population will be


     =  = 560096  (rounded to the closest integer value).    ANSWER

Solved.

---------------

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


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Free of charge online textbook in ALGEBRA-I
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