Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

A certain forest covers an area of 4000km squared. Suppose that each year this area decreases by 3.75percent. What will the area be after 14 years

Sagot :

absor201

Answer:

After 14 years, the area will be 2342.4 km squared.

Step-by-step explanation:

Since the area is decreasing, we can use the decaying exponential function

[tex]y = A(1 - r)^{t}[/tex]

where

  • A represents the initial area.
  • r represents the rate at which the area changes
  • t is the time period

Given

Initial Area A = 4000 km squared

Rate r = 3.75% = 3.75/100 = 0.0375

Time period t = 14

To Determine

The Area after 14 years = y = ?

Plug in the values in the formula

[tex]y = A(1 - r)^{t}[/tex]

[tex]y\:=4000\left(1\:-\:0.0375\right)^{14}[/tex]

[tex]y=4000\cdot \:0.9625^{14}[/tex]

[tex]y=2342.4[/tex] km squared

Therefore, after 14 years, the area will be 2342.4 km squared.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.