Question

Thank you for viewing my question I seem to be having some trouble on this problem please help

Answer 1

`925\text{ km}^2`

Step-by-step explanation

Exponential decay function describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula

`\begin{gathered} f\lparen t)=a\left(1-r\right)^t \\ where\text{ a is the initial value} \\ r\text{ is the rate of decay\lparen in decimals}) \\ t\text{ is the time} \end{gathered}`

Step 1

a)

Let

`\begin{gathered} a=2600 \\ r=8.25\text{ \%}=(8.25)/(100)=0.0825 \\ t=12 \end{gathered}`

b) now, replace in the formula

therefore, the answer is

`925\text{ km}^2`

Blank: 925

I hope this helps you