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Strike441 [17]
3 years ago
9

Between the 2010 US census and 2015, the estimated pulation of El paso, Texas, increased from aproximately 649,000 to 681,000. D

uring the same period, the population of Chandler, Arizona increased from aproximately 236,000 to 260,000. Which city had the greater absolute change in population? Which city had the greater relative change in population?
Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

El paso, Texas had the greater absolute population change with 32,000 while Chandler, Arizona had the greater relative change with 10.17%

Step-by-step explanation:

Absolute change

El paso, Texas = 681,000 - 649,000 = 32,000

Chandler, Arizona = 260,000 - 236,000 = 24,000

Relative change

Texas = 32,000/649,000 * 100 = 4.93%

Arizona = 24,000/236,000 * 100 = 10.17%

El paso, Texas had the greater absolute population change with 32,000 while Chandler, Arizona had the greater relative change with 10.17%

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{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}

(i)

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Step-by-step explanation:

\underline\red{\textsf{Given :-}}

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\underline\pink{\textsf{Solution :-}}

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{\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times  { \frac{2}{3} }^{n - 1} }

(ii) <u>here</u><u> </u><u>we</u><u> </u><u>will</u><u> </u><u>use</u><u> </u><u>the</u><u> </u><u>sum</u><u> </u><u>formula</u><u> </u><u>of</u><u> </u><u>geometric</u><u> </u><u>progression</u><u> </u><u>for</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>total</u><u> </u><u>nth</u><u> </u><u>impact</u>

<u>\orange {\sf{S_n = a \times  \frac{(1 -  {r}^{n} )}{1 - r} }} \\  \sf S_n = 20 \times  \frac{1 -  ( { \frac{2}{3} })^{n}  }{1 -  \frac{2}{3} }  \\   \sf S_n = 20 \times  \frac{1 -  {( \frac{2}{3}) }^{n} }{ \frac{1}{3} }  \\  \sf S_n = 3 \times 20 \times  \{1 - ( { \frac{2}{3}) }^{n}  \} \\   \purple{\sf S_n = 60 \{1 -  { \frac{2}{3} }^{n}  \}}</u>

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Answer:

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