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Andrei [34K]
3 years ago
7

A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area decreases by 6%. What is the functi

on that best represents the area of the forest each year and how much area remains after 12 years? Round your answer to the nearest square kilometer.
Hint: Use the formula, f(x) = P(1 + r)x.

f(x) = 2,000(0.94)x, 952 square kilometers
f(x) = 2,000(1.06)x, 4,204 square kilometers
f(x) = 2,000(0.06)x, 1,239 square kilometers
f(x) = 2,000(0.94)x, 1,432 square kilometers


i think its D idk please help
Mathematics
2 answers:
AlekseyPX3 years ago
8 0
<span>2000 (0.94),x 952 square kil</span>
Anuta_ua [19.1K]3 years ago
6 0
Well, the answer is A.
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F(x)=-2x-1 and g(x)=x^2-1. Find (fog)(-5).
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Answer: - 49

Step-by-step explanation:

f(x) = -2x - 1

g(x) = x^{2} - 1

fg(x) = f (x^{2} - 1) , we just put in the value of g(x) , the next thing is to substitute x^{2} - 1 for the value of x in f(x) , that is

fg(x) = -2(x^{2} - 1) - 1

fg(x) = -2x^{2} + 2 - 1

fg(x) = -2x^{2} + 1

Therefore : fg(-5) means we will substitute -5 for x in fg(x) , that is

fg(-5) = -2 ((-5)^{2} + 1

fg(-5) =  -2(25) + 1

fg(-5) = -50 + 1

fg(-5) = -49

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3 years ago
Work out the area of a circle with radius of 7.5cm
lidiya [134]

Answer:

Area of circle is equal A = πr²

Here r =  7.5 and π = 3.142

so,

A = 3.142(7.5)²

A = 176.17 after rounding off.

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2 years ago
Find 3 consecutive odd integers whose sum is 225, explain please
aleksklad [387]
3 odd integers have a property that they average up to the middle large one. Let's say we have 3, 5, and 7. 3 is 2 less than 5 and 7 is 2 more than 5. so when you add them it equals 2 times 5. 
After we know that, the sum of 3 odd integers is just 3 times the middle number. ex. 3+5+7 = 3 times 5 = 15
Then we know the some number times three = 225. we find out that the middle number is 75, so the other two are 73 and 77
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The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 20 times the sine of t
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We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

d(t)=20\sin (\frac{\pi}{30}t)+10

If we consider the position of the person at t = 0, which is:

d(0)=20\sin (\frac{\pi}{30}\cdot0)+10=20\cdot0+10=10

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

\begin{gathered} \sin (\frac{\pi}{30}t)=\sin (2\pi) \\ \frac{\pi}{30}\cdot t=2\pi \\ t=2\pi\cdot\frac{30}{\pi} \\ t=60 \end{gathered}

Then, the wheel will repeat its position after t = 60 seconds.

Answer: 60 seconds.

7 0
1 year ago
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