58.4k views
0 votes
Can you help me find the answer to my homework questions thankyouuuu

Can you help me find the answer to my homework questions thankyouuuu-example-1
User Mlaccetti
by
7.4k points

1 Answer

3 votes

In this problem, we have an exponential decay function of the form


y=a(1-r)^x

where

y is the area in km2

x is the number of years

a=3,800 km2 (initial value)

r=6.25%=6.25/100=0.0625

substitute given values


\begin{gathered} y=3,800(1-0.0625)^x \\ y=3,800(0.9375)^x \end{gathered}

For x=12 years

substitute


\begin{gathered} y=3,800(0.9375)^(12) \\ y=1,752\text{ km}^2 \end{gathered}

therefore

The answer is 1,752 square kilometers

User Ian Rodrigues
by
8.3k points

Related questions

asked Nov 6, 2018 65.6k views
PtrTon asked Nov 6, 2018
by PtrTon
8.6k points
1 answer
2 votes
65.6k views
asked Sep 1, 2020 57.0k views
Mikkel Rev asked Sep 1, 2020
by Mikkel Rev
7.8k points
1 answer
1 vote
57.0k views
asked Apr 21, 2020 232k views
Richard K Yu asked Apr 21, 2020
by Richard K Yu
7.5k points
1 answer
4 votes
232k views