rainbowxo6652 rainbowxo6652
  • 15-07-2021
  • Mathematics
contestada

A certain forest covers an area of 2300 km. Suppose that each area decreases by 5.75%. What will be the area after 12 years?

Respuesta :

Cricetus
Cricetus Cricetus
  • 16-07-2021

Answer:

The correct answer is 2043 km².

Step-by-step explanation:

Given:

Starting area,

A = 2300 km²

Rate of decreasing,

r = 5.75%

Time,

t = 12 years

As we know,

⇒ [tex]y = A(1-r)^t[/tex]

By substituting the values, we get

      [tex]=2300(1-0.0575 )^{12}[/tex]

      [tex]=2300(0.9425)^{12}[/tex]

      [tex]=2300\times 0.8883[/tex]

      [tex]=2043 \ km^2[/tex]

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