Find the length of the segment with the endpoints (3,-8) and (5,-2).
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The temperature was changing at a rate of 2.925 degrees Celsius in 2005
<h3>How to determine the rate in 2005</h3>From the graph (see attachment), we have the following ordered pair
(x,y) = (5,14.625)
The above means that, the temperature in 2005 is 14.625 degrees Celsius
So, the rate in 2005 is:
Hence, the temperature was changing at a rate of 2.925 degrees Celsius in 2005
Read more about average rates at:
It would take 26 years.
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have
The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. Using our information we have
y = 18450(1+0.027)ˣ = 18450(1.027)ˣ
We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ
Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ
Using logarithms, we have