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City A grows 5% every year. In 2001, it has a population of 145,201. What will the population be in 2037?


Sagot :

Initial population=145,201

Total years=2037-2001=36

[tex]\\ \sf\longmapsto S=P\left(1+\dfrac{r}{100}\right)^t[/tex]

[tex]\\ \sf\longmapsto S=145201\left(1+\dfrac{5}{100}\right)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201\left(\dfrac{105}{100}\right)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201(1.05)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201(5.79)[/tex]

[tex]\\ \sf\longmapsto S\approx 840713[/tex]

S is the final population in 2037

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