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Shkiper50 [21]
4 years ago
12

Use this example to answer the question. On an island in the South Pacific, there is a population of 1,000 South Pacific Splendo

r Birds. There is no immigration or emigration but there are 40 births and 20 deaths per year.
4. The annual percentage rate of this population is

A. 0.02%.
B. 2.0%.
C. 20%.
D. -0.02%.
E. -2%.
Mathematics
2 answers:
blagie [28]4 years ago
5 0

Answer:

B; 2.0%

Step-by-step explanation:

In this question, we are asked to calculate the annual percentage of death in a population that has 20 deaths out of a total of 1000 birds.

To do this, we need to divide the number of deaths over the total number of deaths and multiply by 100%

Mathematically, this can be related as follows;

20/1000 * 100 = 2000/1000 = 2%

The percentage of death in the bird population is 2%

matrenka [14]4 years ago
4 0

Answer:

B. 2.0%.

Step-by-step explanation:

This question can be solved using a rule of three.

The population is of 1000(which is 100%).

There is no immigration or emigration but there are 40 births and 20 deaths per year.

40 - 20 = 20

How much it is?

1000 - 100%

20 - x%

1000x = 20*100

1000x = 2000

x = 2000/1000

x = 2

So the correct answer is:

B. 2.0%.

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Consider the following function. f(x) = 2x3 + 9x2 − 24x (a) Find the critical numbers of f. (Enter your answers as a comma-separ
viktelen [127]

Answer:

(a) The critical number of f(x) are x=-4, 1

(b)

  • Increasing for (-\infty, -4)
  • Decreasing for (-4, 1)
  • Increasing for  (1, \infty)

(c)

  • relative maximum (-4, 112)
  • relative minimum (1, -13)

Step-by-step explanation:

(a) The critical numbers of a function are given by finding the roots of the first derivative of the function or the values where the first derivative does not exist. Since the function is a polynomial, its domain and the domain of its derivatives is (-\infty, \infty). Thus:

\frac{df(x)}{dx}  = \frac{d(2x^3+9x^2-24x)}{dx} =6 x^2+18x -24\\6 x^2+18x -24=0\\\boxed{x=-4, x=1}

(b)

  • A function f(x) defined on an interval is monotone increasing on (a, b) if for every x_1, x_2 \in (a, b): x_1 implies f(x_1)
  • A function f(x) defined on an interval is monotone decreasing on (a, b) if for every x_1, x_2 \in (a, b): x_1 implies f(x_1)>f(x_2)

Combining  the domain (-\infty, \infty) with the critical numbers we have the intervals (-\infty, -4), (-4, 1) and (1, \infty). Note that any of the points are included, in the case of the infinity it is by definition and the critical number are never included because the function monotony is not defined in the critical points, i.e. it is not monotone increasing or decreasing. Now, let's check for the monotony in each interval, for this, we check for the sign of the first derivative in each interval. Evaluating in each interval the first derivative (one point is enough), we obtain the monotony of the function to be:

  • Increasing for (-\infty, -4)
  • Decreasing for (-4, 1)
  • Increasing for  (1, \infty)

(c) From the values obtained in (a) so the relative extremum are the points (-4, 112) and (1, -13). The y-values are found by evaluating the critical numbers in the original function. Since the first derivative decreases after passing through  x=-4 and increases after passing through the point x=1 we have:

  • relative maximum (-4, 112)
  • relative minimum (1, -13)

3 0
4 years ago
Simplify this ratio by dividing both parts
Romashka [77]
Well because 9 and 54 can be divided by 9, we will do that.
9/9=1
54/9= 6
1 strawberry to 6 blueberries
7 0
3 years ago
WILL GIVE BRAINLIEST
Crank

Answer:

it d. the proof demonstrates that a 2 + b 2=c 2

7 0
3 years ago
Pls confirm if right. If not pls help. Thx!
insens350 [35]
180 - 85 = 95

Yep, you are all good!
3 0
3 years ago
Read 2 more answers
Mary has 12 video games. She purchases five new video games each month as part of a video game club.
Oxana [17]

Answer:

The answer to your question is:  V = 12 + 5n

Step-by-step explanation:

Data

Video games right now = 12

She purchases 5 video games each month

Equation = ?

# of video games in n month = V

Process

           - Consider the initial amount of video games

                                   V = 12

           - Now, consider the number of video games the buys each month and the months

                                 5n

           - Finally, join both terms

                                  V = 12 + 5n

8 0
4 years ago
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