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ira [324]
3 years ago
14

A population of 6000 animals decrease at an annual rate of 0.7%. What is the expected population in 12 years? Round your answer

to the nearest whole number.
Mathematics
1 answer:
solmaris [256]3 years ago
6 0

Answer:

The population is expected to be 5515 animals in 12 years.

Step-by-step explanation:

This problem can be solved by using a compounded interest formula with a negative interest rate, since the number of animals are decreasing. We have:

final population = initial population * (1 - r)^(t)

Where r is rate of decline and t is the time elapsed. Applying the data from the question we have:

final population = 6000*(1 - 0.007)^(12)

final population = 6000*(0.993)^12 = 5514.9582 animals

The population is expected to be 5515 animals in 12 years.

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Marley spins a spinner and Rose a1-6 number to the spinner has 5 equal parts numeral number 1- 5 what is the probability she wil
Taya2010 [7]
2/5 i think probably

6 0
3 years ago
Given that the diameter of Circle A is 6 cm , and the radius of Circle B is 18 cm , what can be concluded about the two circles?
ELEN [110]

Answer:

The radius of circle B is 6 times greater than the radius of circle A

The area of circle B is 36 times greater than the area of circle A

Step-by-step explanation:

we have

<em>Circle A</em>

D=6\ cm

The radius of circle A is

r=6/2=3\ cm -----> the radius is half the diameter

<em>Circle B</em>

r=18\ cm

Compare the radius of both circles

3\ cm< 18\ cm

18=6(3)

The radius of circle B is six times greater than the radius of circle A

Remember that , if two figures are similar, then the ratio of its areas is equal to the scale factor squared

All circles are similar

In this problem the scale factor is 6

so

6^{2}=36

therefore

The area of circle B is 36 times greater than the area of circle A

8 0
3 years ago
I need help with Geometry
Bezzdna [24]

Answer:

angle 2 = 120 degrees

angle 3 = 30 degrees

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

4 0
3 years ago
Mathematically derive a set of values for b and c such that the interval [0, 10] represents the solution to the inequality |x−b|
Roman55 [17]

Answer: Ix - 5I ≥ 5.

Step-by-step explanation:

We want the set:

[0, 10]

to be the solution of:

Ix - bI ≤ c

So we need to find the values of c and b.

The first step is to find the middle point in our segment.

We can do that by adding the extremes and dividing it by 2.

M = (10 + 0)/2 = 5

And we also want to find half of the difference between the extremes, this is:

D = (10 - 0)/2 = 5.

Now, this set will be the set of solutions of:

Ix - MI ≥ D

Then in our case, we have:

Ix - 5I ≥ 5.

so we have that b = 5, and c = 5.

8 0
3 years ago
A trapezoid has an area of 184 in^2. The height is 8 in and the length of one base is 16 in. Write and solve an equation to find
inna [77]

Answer:

The length of other base is <u>30 in</u>.

Step-by-step explanation:

Given:

A trapezoid has an area of 184 in^2. The height is 8 in and the length of one base is 16 in.

Now, to get the length of other base.

Let the length of other base be  (b).

Area of trapezoid (Area) = 184 in².

Height of trapezoid (h) = 8 in.

Length of one base (a) = 16 in.

Now, to get the length of other base of trapezoid we solve an equation:

Area=\frac{(a+b)}{2} h

184=\frac{(16+b)}{2}\times 8

184=(16+b)\times 4

<em />184=64+4b<em />

<em>Subtracting both sides by 64 we get:</em>

<em />120=4b<em />

<em>Dividing both sides by 4 we get:</em>

30=b\\\\b=30\ in.

Therefore, the length of other base is 30 in.

3 0
3 years ago
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