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antiseptic1488 [7]
3 years ago
9

A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat

ion of bees seems to be decreasing steadily at a rate of 5% per year. If the number of bees in the population after x years is represented by f(x), which statements about the situation are true? Check all that apply.
The function f(x) = 9,000(1.05)x represents the situation.
The function f(x) = 9,000(0.95)x represents the situation.
After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
After 4 years, the farmer can estimate that there will be about 1,800 bees remaining.
The domain values, in the context of the situation, are limited to whole numbers.
The range values, in the context of the situation, are limited to whole number
Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

Answer:

  • The function f(x) = 9,000(0.95)^x represents the situation.
  • After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
  • The range values, in the context of the situation, are limited to whole number

Step-by-step explanation:

The "growth" rate is -5%, so the growth factor, the base in the exponential equation, is 1.00-5% =0.95.

Using x=2, we find the population in 2 years is expected to be about ...

  f(2) = 9000·0.95^2 ≈ 8123 . . . . about 8120

Using x=4, we find the population in 4 years is expected to be about ...

  f(4) = 9000·0.95^4 ≈ 7331 . . . . about 7330

Since population is whole numbers of bees, the range of the function is limited to whole numbers.

The domain of the function is numbers of years. Years can be divided into fractions as small as you want, so the domain is not limited to whole numbers.

The choices listed above are applicable to the situation described.

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Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

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I = 1000000 × 0.03 × 40 = 1200000

I = $ 1,200,000.00

The simple interest accumulated

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3 years ago
Simplify the solution (2¼)½​
BlackZzzverrR [31]
I think the answer is 1 1/8
6 0
2 years ago
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allochka39001 [22]

Answer:

quadrant 1.

Step-by-step explanation:

A:(9,3)

B:(7,5)

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4 0
2 years ago
Each set of numbers below represents the lengths of three line segments. Which set represent line segments that could be connect
LenKa [72]

Answer:

B is the triangle

A and E can be thought of as triangles as well with angles 0°, 0° and 180°, but it will be just a line with 3 points. So it depends whether this is a question with multiple answers or not.

Step-by-step explanation:

  • Thinking Process:

We need to find a formula for a triangle that uses all the sides

Cosine rule uses all sides:

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we can rearrage this formula and make the angle A the subject:

A = cos^{-1}(\frac{a^2+b^2-c^2}{2ab})

  • now you can just put the values from each option in the question into this formula and see if it gives an answer or not.

<u>Try A. (1,2,3)</u>

put a = 1, b = 2, c = 3 (keep in mind that you can take 'a' 'b' and 'c' as 3,2 and 1 or any other arrangement within the option A(1,2,3). All we are doing here is checking whether the answer exists or not)

A = cos^{-1}(\frac{1^2+2^2-3^2}{2(1)(2)})

A = 180, now graphically it seems that this is just a line with 3 points, or technically you can think of as the sides of the triangle are overlapping each other, and the angle between the sides is 0 0 and 180. It depends on whether the question is asking you to be technical or not. Since the question already stated there are 3 line segments, so we can think of it as a triangle.

<u>Try B.(3,4,5)</u>

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A = 90, this is a triangle (specifically, this is a right angled triangle)

<u>Try C.(1,10,100)</u>

A = cos^{-1}(\frac{1^2+10^2-100^2}{2(1)(10)})

from the calculator you'll see a 'math error', this shows that there is no answer, because cos^{-1} can only accept values within -1 and 1 inclusive. Hence no such triangle exists with lengths (1,10,100).

Similarly you can try the formula with all other options, and find whose answers exists or not.

Finally, to complete the answer, let's

Try E.(1,3,4)

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A = 180, hence this is also one of those "3 points on a straight line  triangles" similar to A(1,2,3)

so the answer is either A,B and E OR just B

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5 0
3 years ago
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nexus9112 [7]

the answer is D

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