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The population of the Midwest industrial town decreased from 224,000 to 219,000 in just 2 years assuming that the trend continues what will the population be af

The population of the Midwest industrial town decreased from 224,000 to 219,000 in just 2 years assuming that the trend continues what will the population be after an additional 5 years?
The population will be about?
 

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Jeniffer O. | I excel at the sciences!I excel at the sciences!
4.9 4.9 (9 lesson ratings) (9)
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First find the difference between the two initial sums: 224,000-219,000 = 5,000.  This is the decrease over two years.  Divide this by two to get the approximate decrease for one year.  5000/2 = 2500.  Multiply this times 5 years: 2500*5= 12,500.  Now subtract that from the last reported population: 219,000 - 12,500 = 206,500.
MANNY C. | 200 Testimonials-Most Recommended Wyzant Tutor in USA.200 Testimonials-Most Recommended Wyzant...
5.0 5.0 (1521 lesson ratings) (1521)
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Two ways:
 
Straight line Decrease and Exponential decrease.
 
In real life it will be exponential decrease.    
 
 
 
224000*(1-x)^2 = 219000 
 
(1-x)^2 = 219000/224000 = .9772
 
1-x =sqrt(.9772) = .9885
 
5 YEARS LATER:
 
219000*.9885^5=206693.8
 
Sharon T. | Mrs. Sharon T.Mrs. Sharon T.
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I first set up the equation as a ratios. I need to find the differences between the decline in population and the decline in years.  The decline in population went from 224,000 to 119,000, which is a decline of 5,000 after 2 years, which is expressed as:
 
5,000   X (Decline in population after 5 years)
2 years                        5 years
 
When you cross multiply, you get:  2X = 25,000
                                                     X = 12,500
That is not the answer yet. X is the decline in population which must be then subtracted from the current population of 219,000.
 
219,000 - 12,500 = 206,500
James P. | Science and Math can be your best subjectsScience and Math can be your best subjec...
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This question relates to geometric sequences, where the nth term (An) is related to the first term (Ao) by the expression An= Ao(rn)
 
In the question, n equals the number of years (2) over which the population has been measured, so the question tells us that:
 
A2 = Ao(r2)       where 2 = number of years, Ao = 22400, A2 = 219000 and n = 2. That is,
 
219000 = 224000r2
 
r = (219000/224000)1/2
 
We are asked to find the population a further five years after it reaches 219000, i.e. 7 years after it was at 224000
 
A7 = Ao(r7)
 
A= 224000
 
r7 = (219000/224000)7/2
 
A7 = 224000(219000/224000)7/2
 
A7 = 206980
 
This is equivalent to 207000 given the accuracy of the data in the question
 
This result is easily checked on any graphic calculator.
Denise V. | Patient and Knowledgeable who makes learning FUNPatient and Knowledgeable who makes lear...
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I found the answer this way what percentage of the population decreased 219,000/224000= .977% or a difference of 2% over 2 years knowing that then population should decrease another 5% in 5yrs because it was averaging 1% per year.
so 219,000 * 95%=208,050 is your answer.