a mountain in benton county is eroding and losing elevation at a rate of 1% every millennium. if the current…

Explanation:

Step1: Identify the decay - formula

The formula for exponential decay is $A = P(1 - r)^t$, where $P$ is the initial amount, $r$ is the rate of decay, and $t$ is the time. Here, $P = 953$ meters, $r=0.01$ (since 1% = 0.01), and $t = 7$.

Step2: Substitute the values into the formula

$A=953\times(1 - 0.01)^7$. First, calculate $(1 - 0.01)=0.99$. Then, find $0.99^7$. Using a calculator, $0.99^7\approx0.93206$.

Step3: Calculate the final elevation

$A = 953\times0.93206\approx888.253$.

Step4: Round the answer

Rounding 888.253 to the nearest whole number gives 888.

Answer:

888