Akanksha is a social worker opting to study the number of trees in a forest and its cutting rate. At start, she found that there were $4.23 \times 10^{8}$ trees spread in area of $50$ ${m i}^{2}$ . If the cutting rate of trees is $35$ % per month, then at the end of $1$ year how many trees will remain?

340

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1430

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2406000

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116166000

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Solution

The correct option is C $2406000$
Using Compound Interest,
Amount $= P (1 - \frac{R}{100})^{t}$
$t = 12 y e a r s$
$R = 35 %$
$A = 4.23 \times 10^{8} (1 - \frac{35}{100})^{12}$
$⟹$ Remaining trees $\approx 2406000$

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Akanksha is a social worker opting to study the number of trees in a forest and its cutting rate. At start, she found that there were 4.23×108 trees spread in area of 50 mi2. If the cutting rate of trees is 35% per month, then at the end of 1 year how many trees will remain?

The correct option is C 2406000Using Compound Interest,Amount=P(1−R100)tt=12yearsR=35%A=4.23×108(1−35100)12⟹Remaining trees≈2406000

The correct option is C $2406000$
Using Compound Interest,
Amount $= P (1 - \frac{R}{100})^{t}$
$t = 12 y e a r s$
$R = 35 %$
$A = 4.23 \times 10^{8} (1 - \frac{35}{100})^{12}$
$⟹$ Remaining trees $\approx 2406000$