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A mountain in Lincoln County is eroding and losing elevation at a rate of 5% every millennium. If the current elevation is 1,283 meters, how tall will the mountain be in 2 millennia?round your answer to the nearest whole number.

User NoOneIsHere
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1 Answer

7 votes
7 votes

Step-by-step explanation

We need to apply the exponencial decay in order to get the final elevation of the mountain:


f(t)=a(1-r)^t

Where a is the initial value, a=1,283 meters and r is the rate in decimal form r= 5/100 = 0.05 and t = time = 2 millenials

Then, we need to substitute the terms:


f(t)=1,283\cdot(1-0.05)^2

Subtracting numbers:


f(t)=1,283\cdot0.95^2

Computing the power:


f(t)=1,283\cdot0.9025

Multiplying numbers:


f(t)=1157.90\text{ meters}

Rounding to the nearest whole number:

Final Elevation = 1158 meters

User Wyatt Barnett
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