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bagirrra123 [75]
4 years ago
8

Baseball field.....................

Mathematics
1 answer:
Ugo [173]4 years ago
4 0

Umm. What is the question?

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A city starts with a population of 500,000 people in 2007. Its population declines according to the equation
hjlf

Answer: After 7 years the population will be one-half the initial amount.

Step-by-step explanation:

Given: Initial population = 500,000

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Put P(t)=250,000, we get

250000=500000e^{-0.099t}\\\\\Rightarrow\ \frac{500000e^{-0.099t}}{500000}=\frac{250000}{500000}\\\\\Rightarrow\ e^{-0.099t}=\frac12\\\\\Rightarrow\ -0.099t=\ln \left(\frac{1}{2}\right)\\\\\Rightarrow\ t=\frac{1000\ln \left(2\right)}{99}=\frac{1000(0.69314)}{99}\\\\\Rightarrow\ t=7.00148\approx7

Hence, After 7 years the population will be one-half the initial amount.

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What is the value of the expression below 1/4 = 8?<br> (5.NF.7)
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