#5: The population of a certain animal species decreases at a rate of 2.5%. If there are 400 of this animal in the wild, using an exponential function, predict approximately how many there will be in 4 years. Round to the nearest whole number. *

Answers

Answer 1

Answer:

There will be 361 individuals in 4 years.

Step-by-step explanation:

Exponential equation of population decay:

The amount of individuals of a certain population, after t years, with a decay rate of r(as a decimal), is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial population and r is the decay rate.

The population of a certain animal species decreases at a rate of 2.5%.

This means that [tex]r = 0.025[/tex]

There are 400 individuals:

This means that [tex]n = 400[/tex]. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 400(1-0.025)^t[/tex]

[tex]A(t) = 400(0.975)^t[/tex]

How many there will be in 4 years?

This is A(4). So

[tex]A(4) = 400(0.975)^4 = 361.4[/tex]

Rounding to the nearest whole number, there will be 361 individuals in 4 years.


Related Questions

Jasmine gives a film rating of 8/10 which other review agrees with her score

Answers

Answer:

2/10 may be the correct awnser

Answer:

4/5

Step-by-step explanation:

8/10 = 4/5

In an experiment, the probability that event A occurs is 0.2 and the probability that event B
occurs is 0.5. If A and B are independent events, which statement is true?
A.
B.
P(A and B) = 0.1
P(A or B) = 0.1
P(A and B) = 0.7
P(A or B) = 0.7
C.
D.

Answers

Answer:

Step-by-step explanation:

 

P(A and B) = 0.1

If ADEF is reflected over the x-axis, what would be the coordinates of point F?

Answers

Answer:

A) (-2,-1)

Step-by-step explanation:

It would be in Quadrant III, so (-2,-1)

The circumference of a circle is about 33.912 inches. The circle's radius is __ inches.
Use 3.14 for π.​

Answers

Answer:

5.4

Step-by-step explanation:

Circumference = 2 x 3.14 x radius

To find this information, you must first divide:

33.912 ÷ 2 = 16.956

Then, divide:

16.956 ÷ 3.14 = 5.4

So then your answer is:

Radius = 5.4

Hope this helps you out! : )

needhelpslovingthisproblem

Answers

Answer:

-4 to -1.5

Step-by-step explanation:

When the graph start to slope downwards or go down its decreasing. So when the hump starts to go down at (-4,0) it then starts to go up again after (-1.5,0). Hope this helps:)

Point P is located on the segment between point A (1,4) and point D (7,13). The distance from A to P is twice the distance from
Pto D. What are the coordinates of point P?

Answers

Answer: Point P is at (3, 7)

Step-by-step explanation: the distance from point a to point B is 10.8. 10.8 divided by 3 is 3.6, so you have to find a point that 3.6 from point a. Using a graph, I found the answer to be (3,7)

Which expression is equivalent to this quotient?
4x^2 -8x -5/ 4x^2 - 25

A. -1/5
B. 2x - 1/ 2x - 5
C. 2x + 1/ 2x + 5
D. 2x - 5/ 2x + 5

Answers

The answer is (C) 2x+1/ 2x+5.

This is just finding like terms.

Like terms are terms that are the same, like 2x and 3x for example, would be like terms. (This is not in the problem by the way.) Just divide the like terms, and that's your answer.

I tried to give a good explanation but I'm super tired. Just trying to help.

The expression is equivalent to the quotient is (2x+1)/(2x+5). Therefore, option C is the correct answer.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Given that, (4x²-8x-5)/(4x²-25)

= (4x²-10x+2x-5)/((2x)²-(5)²)

= [2x(2x-5)+1(2x-5)]/(2x-5)(2x+5)

= [(2x-5)(2x+1)]/(2x-5)(2x+5)

= (2x+1)/(2x+5)

Therefore, option C is the correct answer.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

PLEASE HELP ILL GIVE BRAINLIEST !!! 100 POINTS !! NO FAKE ANSWERS !

Answers

Answer:

20

Step-by-step explanation:

complex conjugate of 10+5i = 10-5i

10+5i + 10-5i = 20

What is the sum of degrees of each vertex for a tree with 6 vertices?
a) 5
b) 6
c) 8
d) 10

Answers

Answer:

C: Is the Answer

Step-by-step explanation:

Really hope it'll help!!

I think the answer will be c

please tell me that *FIND THE SQAURE ROOT OF 1054729 BY DIVISION METHOD*.

Answers

Answer:*FIND THE SQAURE ROOT OF 1054729 BY DIVISION METHOD*.

Step-by-step explanation:

what? you said to tell you that

Help what I don’t know what is 1 + 2

Answers

Answer:

answer: 1 + 2 = 3

answer: 1 + 2 = 3

Answer:

1+2=3

Step-by-step explanation:

it math

Select the correct answer.
if f(t) = 2 - 4 and 9 (7)
= 2 – xż and g(x) = x2 – 9, what is the domain of g(x) = f(x)?
OA. (-0, 2] and [2, 0)
OB. [0, 4) and (4, )
Oc. (-0, 2] and [4, 0)
D. (-0, -2] and [2, )

Answers

Answer:

Option B will be your answe

Step-by-step explanation:

hope it helps....

Find the area of the figure

Answers

Answer:

89  sq meters

Step-by-step explanation:

The whole rectangle  13x8 = 104

Now subtract the white triangle

(6x5)/2 = 15

104-15 = 89

Antonio watches a movie that is 1 hour and 45 minutes long. Which number line could show when Antonio watches the movie?

Answers

Answer:

1st one

Step-by-step explanation:

Answer:

Bottom left

Step-by-step explanation:

Those I-ready diagnostics suck don't they?


The probability of the car having 4 doors is 1/2
What does that mean?

(A)It is neither unlikely nor likely
(B)It is likely
(C)It is impossible.
(D)It is definite.

Answers

Answer:

(A)It is neither unlikely nor likely

Step-by-step explanation:

answer is b

hope this helps

A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.

Answers

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that [tex]A(0) = 10, r = 0.03[/tex]

So

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 10(1 - 0.03)^t[/tex]

[tex]A(t) = 10(0.97)^t[/tex]

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

[tex]A(24) = 10(0.97)^{24} = 4.81[/tex]

The weight of the block of ice after 1 day is of 4.81 pounds.

during a nature walk jayden identified 20 animals and plants.1/4 of what he identified were animals.how many were animals?

Answers

the answer would be 5
Explanation: 1/4=.25 and .25x20= 5

3
Select the correct answer.
Which value is needed to determine a confidence interval for a sample mean?
O A.
the sample proportion
O B.
the standard error of the mean
O C.
the margin of error for the proportion
OD
the population size
Reset
Next

Answers

Answer:

A

Step-by-step explanation:

I think I am not sure I just started to do this in school...

What is 12/7 as an mixed number ??

Answers

Answer:

1 5/7

Step-by-step explanation:

[tex]1 \frac{5}{7} [/tex]

is the answer if you meant to say mixed fraction

I need help with this math problem

Answers

Step-by-step explanation:

Use the following ratio:

[tex] \frac{x}{25} = \frac{6}{10} [/tex]

Answer:

r/25=6/10 thats the answer

Step-by-step explanation:

ez lol yw

Plz, help me this is the photo no link!

Answers

Answer:

D.) 0.4m= 8

Step-by-step explanation:

I AsKeD My MaTh tEaChErS FoR uUu :) HaVe a gOoD DaY

D should be the answer

HELP! ILL GIVE BRANLIEST :(

Answers

Answer:

B

Step-by-step explanation:

since x is GREATER than -25, the shaded part has to be on the right of -25

Answer: B

Step-by-step explanation:

good morning everyone how are you guys

i just want to say today is my science exam
soo if u helped me

that will be nice <3

Answers

I’m really tired but am doing good. How about you:)

Answer:

♥Love You♥ DUDE

Step-by-step explanation:

PLEASEEEEEEEEEEEEEEEEEE HELP!!!!!!!!!

Answers

Answer:

12 Squared Units

Step-by-step explanation:

Top length: 4 Units

Side length: 3 Units

what is the equivelant fraction for 5/8?

Answers

Answer: 40/64

Step-by-step explanation:


᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ᭙ꫝꪗ

Answers

Answer:

what do you mean by why?

Step-by-step explanation:

why why why why why??

All of the following are useful in scientific investigations EXCEPT:
O Collection of evidence
Assumptions and bias
0 Creativity and imagination
O Logical reasoning

Answers

Answer:

Assumptions and bias

Step-by-step explanation:

Creativity and imagination is also not, but assumptions and bias ruin your investigation.

PEMDAS" notes and Integer rules
*
What is the value of this expression?
(6.3D Lesson 1)
-6. (-2 + 5)
A 42
B -18
с
18
D Not here

Answers

Answer:

B

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

First we start with brackets

(-2+5)= 3

Now

-6×3=-18

What is x? Plz help me this question is worth 13 points.

Answers

Answer:

5.25

Step-by-step explanation:

So lets gather our information(Note that I use x as the small x value and X as the larger and missing value)

First off, we know that x is 3.

We know that the X value is a scale of x by 1.75.

We can think of this as 1.75x.

So to find X, we can multiply x by the scale 1.75:

x*1.75=X

plug in the value we know for x:

3*1.75=X

=

5.25=X

So our answer is 5.25!

Hope this helps! :)

does anyone know the answer for this?

Answers

Answer:

8 cm

Step-by-step explanation:

The area of the shaded portion is:

[tex]a = \pi \times (( {r1)}^{2} - {(r2}^{2})) [/tex]

A=39π cm^2

r1 is the radius of the large circle

r2=5 cm

So,

[tex]39\pi = \pi \times (( {r1)}^{2} - {5}^{2} ) \\ r1 = 8 \: cm[/tex]

Other Questions
Fill in the blank with the appropriate form of "pouvoir".Est-ce qu'ils aller avec toi?peuventpouventpoulentpeulent The number of hours you study for an exam impacts your grade. What is a reasonable value of the rangea.2.16b.2/3c.-15d.80 A test has 2020 questions.If Peter gets 80\%80% correct, how many questions did peter miss?A) 4 wrongB) 5 wrongC) 6 wrongD) 3 wrong hello please help ill give brainliest #2 Identify the number of TERMS and DEGREE of the polynomial. *5x4 + 12 Exponential population growth happens when: Select all that apply.There are no sufficient minerals.There are too many predators.There are plenty of resources.No predators are present.There are no resources. Find the midpoint of the segment with endpoints of (-4,5) and (1,3) and enterits coordinates as an ordered pair. If necessary, express coordinates asfractions, using the slash mark ( / ) for the fraction bar. I will give brainliest Compare the arguments of they Northerners and Southerners who opposed abolitionism. OP.71. What are three main parts that make up a nucleotide What did the France, England and Spain do in Mexico Plz answer fast Name the four parts of a circuit. Help me find the coordinates and its a translation and reflection . Please help me! What is the value of cosine theta in the diagram below?A unit circle is shown. A radius with length of 1 forms angle theta in the first quadrant. The radius goes to point (0.6, 0.8) on the unit circle.Three-fifthsThree-fourthsFour-fifthsFour-thirds true or false \Parasites break down once-living matter into simple energy-rich substances. Tickets to the County Fair cost $12 for each adult and $7 for each child. Write and evaluate an expression to find the cost for 3 adults and 6 children. (Show your work) There are 50 deer in a particularforest. The population is increasingat a rate of 15% per year. Write anexponential growth function thatrepresents the number y of deer inthat forest after x months. Roundto the nearest thousandth. 1.) Apply the distribute property, 3 (2x + 4) What is a failed state and why might Sudan and Somalia both be considered failed states 1. First, Hitler takes over the Rhineland for: ( )2. Next, Hitler annexes Austria by winning what percentage of the vote?: (. )3. Then, after promising Britain hed stop, Hitler then ( ) Czechoslovakia.4. Last, Hitler invades ( ), officially starting World War II.