# 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

1. a) population of the town in 2024 = 8697

2.) the earthquake with a magnitude of 8 is a 100 times stronger than an earthquake with a magnitude of 6.

Step-by-step explanation:

1) the population of a town was, in 2016.

a) Exponential growth model is given by where t is the time in years after 2016.

Year 2016 is when t = 0.

k = growth rate constant = 1.6% = 0.016

i) therefore the population of the town in 2024

=   ( to the nearest whole number)

2.) log (I M S) = magnitude of earthquake  where I is the Intensity of the earthquake and S is the intensity of a standard earthquake

therefore  I M S =

therefore

m

Step-by-step explanation:

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