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Pavel [41]
3 years ago
12

A certain forest covers an area of 2100 km². Suppose that each year this area decreases by 3.5%. What will the area be after 5 y

ears
Use the calculator provided and round your answer to the nearest square kilometer.
Mathematics
2 answers:
Blizzard [7]3 years ago
8 0

Answer:

\large\boxed{\sf \ \ \ 1757 \ km^2 \ \ \  }

Step-by-step explanation:

Hello,

<em>I would recommend that you checked the answers I have already provided as this is the same method for all these questions, and maybe try to solve this one before you check the solution.</em>

<u>At the beginning the area is 2100</u>

<u>After one year</u> the area will be

   2100*(1-3.5%)=2100*0.965

<u>After n years</u> the area will be

   2100\cdot0.965^n

So after 5 years the area will be

   2100\cdot0.965^5=1757.34027...

So rounded to the nearest square kilometer is 1757

Hope this helps

Charra [1.4K]3 years ago
3 0

Answer: 1757 km²

Step-by-step explanation:

Because 3.5% = 0.035, first do 1-.035 to get .965.  Then do 2100*.965*.965*.965*.965*.965 to get 1757.34027.

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Answer:

m\angle ECB+m\angle EFB=180

m\angle CDB\cong m\angle EDF

m\angle CDB+m\angle DCB+m\angle CBD=180 \degree

Step-by-step explanation:

From the diagram, quadrilateral BCEF is a cyclic quadrilateral.

Opposite angles if a cyclic quadrilateral sum up to 180°

m\angle ECB+m\angle EFB=180

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

m\angle CDB\cong m\angle EDF

Also sum of angles in triangle CBD is 180°.

m\angle CDB+m\angle DCB+m\angle CBD=180 \degree

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Grouping like terms, 4 p - 12 p + 3 = 3 + (4 p - 12 p):
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Factor the following:
m (m + n) - 3 m (m + n)^2

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Factor the following:
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