NeaveC207235 NeaveC207235
  • 03-11-2022
  • Mathematics
contestada

Can you help me find the answer to my homework questions thankyouuuu

Can you help me find the answer to my homework questions thankyouuuu class=

Respuesta :

HaleiD49100 HaleiD49100
  • 03-11-2022

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

[tex]y=a(1-r)^x[/tex]

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

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

For x=12 years

substitute

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

therefore

The answer is 1,752 square kilometers

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