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Alenkinab [10]
3 years ago
11

Enzo is studying the black bear population at a large national park.

Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

B(t) = 2500 \cdot 2^{0.01t}

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973

There will be 2,973 black bears in 25 years time.

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When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $10,000 a year with a com
MArishka [77]

Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the <u>base salaries as the intercept and the commissions as the slope</u>, the functions are given by:

  • A(x) = 10000 + 0.09x.
  • B(x) = 20000 + 0.04x.

To produce a larger income in option A, it is needed that:

A(x) > B(x).

Hence:

10000 + 0.09x > 20000 + 0.04x

0.05x > 10000

x > 10000/0.05

x > 200,000

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0
2 years ago
Somebody please help me Do any that you want you don’t have to do all.
Dmitrij [34]

Answer:

I don't see anything, but I can help you what is it about? If its science. I'm bad at science. If its math I can try to help you.

Step-by-step explanation:

6 0
3 years ago
At what value of x does the graph of the following function f(x) have a vertical asymptote? f(x)=1/x+3
ratelena [41]

Answer:

d

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 3 = 0 ⇒ x = - 3 ← equation of vertical asymptote

5 0
3 years ago
Read 2 more answers
Solve for x<br> HELLLLP​
charle [14.2K]

Simplifying

25x + -15 = 2y

Reorder the terms:

-15 + 25x = 2y

Solving

-15 + 25x = 2y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 25x = 15 + 2y

Combine like terms: -15 + 15 = 0

0 + 25x = 15 + 2y

25x = 15 + 2y

Divide each side by '25'.

x = 0.6 + 0.08y

Simplifying

x = 0.6 + 0.08y

3 0
3 years ago
Determine if the lines are parallel, perpendicular or neither y=-3/2x-4 and y=2/3x-7
aliya0001 [1]

Answer:

<u>They are perpendicular</u>

Step-by-step explanation:

Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.

Parallel lines have the same slope.

Neither is when the lines do not follow either of these definitions.

The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. <u>This means the lines are perpendicular.</u>

<u />

4 0
3 years ago
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