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Allisa [31]
2 years ago
9

A certain forest covers an area of 2100 km^2. Suppose that each year this area decreases by 5.25%. What will the area be after 6

years
Mathematics
1 answer:
Neko [114]2 years ago
4 0

Answer:

The area after 6 years is 1519.49km^2

<em></em>

Step-by-step explanation:

Given

a = 2100 --- Initial Value

r = 5.25\% --- Rate

Required

Determine the area after 6 years

Because the area reduces,, the following formula will be used to solve the question.

y = a*(1 - r)^t

Here

t = 6

So, we have:

y = 2100*(1 - 5.25\%)^6

Convert percentage to decimal

y = 2100*(1 - 0.0525)^6

y = 2100*(0.9475)^6

y = 1519.47866516

y = 1519.49 -- approximated

<em>The area after 6 years is </em>1519.49km^2<em></em>

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3 years ago
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scoundrel [369]
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3 years ago
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inn [45]

Answer:

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Step-by-step explanation:

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2 years ago
Derive the equation of the parabola with a focus at (3,1) and a directrix of y = 5
serg [7]
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in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3

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because the parabola opens downwards, "p" is negative, and thus, -2

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5 0
3 years ago
−4+bx=2x+3(x+1) In the equation shown above, b is a constant. For what value of b does the equation have no solutions?
Likurg_2 [28]

Answer:

b=5

Step-by-step explanation:

−4+bx=2x+3(x+1)  (expand parenthesis first, i.e PEDMAS)

−4 + bx = 2x + 3x + 3

−4 + bx = 5x + 3   (move all x terms to one side and constants to another)

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we can see that 5-b is in the denominator. Recall that for a fraction, the denominator cannot be zero otherwise the expression is undefined. (i.e no solutions)

hence the  expression is undefined if,

(5-b) = 0

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7 0
2 years ago
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