1.The population of a town was7652in 2016. The population grows at a rate of 1.6%annually.(a)Use the exponential growth model to write an equation that estimates the population t years after 2016.(a)Estimate the population of the town in 2024. Show your work.2.The formula logIMS=determines the magnitude of an earthquake, where Iis the intensity of the earthquake and Sis the intensity of a “standard earthquake.”How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.

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Asked Jan 30, 2020
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1.The population of a town was7652in 2016. The population grows at a rate of 1.6%annually.(a)Use the exponential growth model to write an equation that estimates the population t years after 2016.(a)Estimate the population of the town in 2024. Show your work.

2.The formula logIMS=determines the magnitude of an earthquake, where Iis the intensity of the earthquake and Sis the intensity of a “standard earthquake.”How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.

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Step 1

Hello. Since you have posted multiple questions and not specified which question needs to be solved, we will solve the first question for you. If you want any other specific question to be solved, then please resubmit only that question or specify the question number.

 

Consider the calculation for (1) sub-part (a).

The population for the year 2016 = 7652.

Annual rate of population growth = 1.6%

Now, consider the calculation for the population for the year 2017.

Algebra homework question answer, step 1, image 1
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Step 2

Then, consider the calculation for the population for the year 2018.

Algebra homework question answer, step 2, image 1
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Step 3

Then, consider the general form of the equation for the exponential growth.

The value of t for year 2016 = 0.

Therefore, the value of t for year 2017 = 1.

Again, the value of t for year 2018 = 2.

Compare the population for the year 2016 and 2017 wit...

Algebra homework question answer, step 3, image 1
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