The population of wolves in Yellowstone Park is growing by 12% per year, for 5 years. How many wolves do you expect there to be after 5 years, if the population started with 200 wolves.

Answers

Answer 1

Answer:

352

Step-by-step explanation:

PT=Po(1+r÷100)^5

Pt=200(1+12÷100)^5

=200(112÷100)^5 LCM

=200(1.10)^5

=200×1.76234168

=352 ANS;

Answer 2

Answer:

352.46833664 or 352 wolves

Step-by-step explanation:

This is the about the simplest method to calculate the growth.

1. Convert 12% to the equivalent decimal.  12/100=.12

2. Growth for 1 year is equal to 200 x 1.12=224

3. Growth for 5 years is equal to 200 x 1.12^5 = 352.46833664


Related Questions

Question is in photo above (image)

Answers

Answer:

I thinks its 80.

Step-by-step explanation:

Sorry if I'm wrong.

help!! i need answers asap! (ZOOM IN IF NEEDED!)
NO LINKS!
I WILL GIVE BRAINLIEST

Answers

i think it would be c. :)

The N71-90 virus will give an infected person a mild rash on their arms once the person has 1 billion of the virus cells in their body. After an initial infection with just one cell, each virus cell will divide into two cells every four hours. After 30 divisions there are 1,073,741,824 cells and the rash starts. Once the rash starts, the immune system kicks in and kills all of the virus cells within an hour. The number of virus cells in the body can be determined using the function below.

v(h)=2\frac{h}{4}

In this function, h is the number of hours after infection. If Jolene is infected by one virus cell, how many virus cells will she have after 8 divisions?

A. 4
B. 256
C. 512
D. 8

Answers

Answer:

B. 256

Step-by-step explanation:

Given function:

v(h) = 2^(h/4)

It can be rewritten as:

v(d) = 2^d, where d- number of divisions

If number of divisions is 8, then:

v(8) = 2^8 = 256 virus cells

Correct choice is B

Answer:

Solution given:

v(h)=[tex] {2}^{\frac{h}{4}}[/tex]

we can write it as

v(d)=[tex] {2}^{d} [/tex]

now

v(8)=[tex] {2}^{8} [/tex]=256 virus cells will she have after 8 divisions.

Please answer my question

Answers

Answer:

3/4

Step-by-step explanation:

Two parts of the wheel are 5 and 8. So 2/8 are the parts you don’t wanna land. That leaves 6 parts open. As a fraction this is 6/8. Simplified, it is 3/4.

There’s a 3/4 chance it will not land on 5 or 8

someone help and PLZ make sure it’s right

Answers

Answer:

Acute

Step-by-step explanation:

Acute is defined as an angle less than 90°. All of those angles are less the 90°.

Answer:

right triangle

Step-by-step explanation:

To test for a right triangle, use the Pythagorean theorem.

Let the legs, a and b, be the two shorter sides, and let the hypotenuse, c, be the longest side.

a² + b² = c²

a² + b² = 7.2² + 9.6² = 51.84 + 92.16 = 144

c² = 12² = 144

Since a² + b² = c², the triangle is a right triangle.

You work at a T-shirt printing business. Of the 2,800 T-shirts shipped, 396 have a defect. What is the experimental probability that a T-shirt has a defect? Write your answer as a percent, to the nearest tenth of a percent. a 15.3% b 19.4% c 11.7% b 14.1%

Answers

Answer: 14.1%

Step-by-step explanation:

Number of T-shirts shipped = 2800

Number of T-shirts that have a defect = 396

Therefore, the experimental probability that a T-shirt has a defect will be:

= Defect T-shirts / Total T-shirts × 100

= 396 / 2800 × 100

= 14.1%

Lina used 75 square inches of fabric to make a triangular pennant to take to football game.The base of the pennant was 6 inches. What was the height of the pennant?

Answers

Answer:

25 inches

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

75 = (1/2) x 6 x height

height = (75 x 2) / 6 = 25 inches


PLS HELP ASAP PLS HELP

Answers

Answer:

D is the answer

Step-by-step explanation:

Because it equals 4

Solve:
3x + y = 10
y = 6x - 8

Answers

Answer:

( x , y ) = ( 2 , 4 )

Step-by-step explanation:

Hope this helps!

What is the circumference if the radius is 7 inches? Use 3.14 for pi and do not round your answer.

Answers

Answer:

43.96

Step-by-step explanation:

c=2×πr

2×3.14×7

43.96

Determine whether the functions are inverses of each other.
f(x) = x2 + 1,
g(x) = \x-1,
domain [0,00)
domain (1.00)
Are f and g inverses of each other?
Ο Νο
0 Yes

Answers

Yes..................

Jace invested $65,000 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $93,400?

Answers

Answer:

15 years

Step-by-step explanation:

93400=65000*e^(.025x)

x=14.5 which rounds to 15

Find g. (-9)
g(+)= r^2 + 3r

Answers

Answer:

g(-9) = 64

Step-by-step explanation:

Given function:

g(r) = r² + 3r

Find g(-9):

g(-9) = (-9)² + 3(-9) = 81 - 27 = 64

g(-9)

(-9)²+3(-9)81-2754

If you anticipate that it will take about 4 hours to move everything, how much will you pay to the company that offers the best deal? A. $130 B. $140 C. $150 D. $160

Answers

Answer:

D.

Step-by-step explanation:

2
A chord 12 cm long subtends an angle
of 40° at the centre of the circle. Calcu-
late the radius of the circle.

Answers

Answer:

Chord 12 cm long subtends an angle of 40 degrees at the center of a circle.

θ= 40° = 0.698 rad

Let R be the radius of circle.

Chord Length = 2Rsin(θ/2)

12=2R sin (0.698 /2)

R= 17.54

Ans: Radius of circle = 17.54 cm

Daisy's goal is to save $3,000. When she has 3 times as much as she has already saved, she will need only $300 more. How much has Daisy saved so far?

Answers

Answer:

Daisy's goal is to save $3,000. When she has 3 times as much as she has already saved, she will need only $300 more. How much has Daisy saved so far?        daisy has 9000 saved so far.  

Step-by-step explanation:

3,000 x 3 = 9000

sorry if am wrong.


I need help with the questions

Answers

Answer:

(-4,3) it is x axis -4 and y axis 3

Answer:

(-4,3)

Step-by-step explanation:

the x position will not change

the y position will invert up to a positive 3

300€ durante 5 años al 0.3% de interés compuesto mensual. A) ¿Cuánto interés se ha ganado? B) Cuánto interés se ha ganado?

Answers

Answer:

Interes ganado= €59.07

Step-by-step explanation:

Dada la siguiente informacion:

300€ durante 5 años al 0.3% de interés compuesto mensual.

Para calcular el valor final de la inversión y el interés ganado, debemos usar la siguiente formula:

FV= PV*(1 + i)^n

Present Value= 300

i= 0.003

n= 5*12= 60 meses

FV= 300*(1.003^60)

FV= 359.07

Interes ganado= 359.07 - 300

Interes ganado= 59.07

Solve the following quadratic equation for all values of x in simplest form.

4(x-2)^2=16

Answers

Answer:

[tex]x=4,\:x=0[/tex]

Step-by-step explanation:

[tex]\frac{4\left(x-2\right)^2}{4}=\frac{16}{4}[/tex]

[tex]\left(x-2\right)^2=4[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=4,\:x=0[/tex]

**PICTURE INCLUDED**
I need quick help,

Finding side length of triangle

Please, if you can- explain how you got your answer because I don’t understand how to, thanks..!

Answers:
A.) 26.7 inches
B.) 34 inches
C.) 16 inches
D.) 22 inches

Answers

C. 16 inches is the correct answer.

(My previous answer was wrong.  Sorry.)

Answer:

Step-by-step explanation:

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?

9.6, –4.8, 2.4, –1.2, 0.6, ...

f(n + 1) = (–0.5)f(n)
f(n + 1) = (0.5)f(n)
f(n + 1) = f(0.5n)
f(n + 1) = f(–0.5n)

Answers

Answer:

f(n + 1) = (–0.5)f(n)

Step-by-step explanation:

The formula for finding the volume of a cube is V=s3, where s is the length of one side. What is the volume, in cubic units, of a cube with side length 7.5 units? Round to the nearest hundredth when necessary

Answers

Answer:

421.88 cubic units

Step-by-step explanation:

The formula for finding the volume of a cube is V=s3, where s is the length of one side. What is the volume, in cubic units, of a cube with side length 7.5 units? Round to the nearest hundredth when necessary

V =s³

s = 7.5 units

V = (7.5 units)³

V = 421.875 cubic units

Approximately = 421.88 cubic units

In Mr. Smith's 7th Hour
class there are 16 boys and
7 girls. What is the
probability of randomly
selecting a boy?

Possible Answers⇒
40%
60%
70%
85%

Answers

Answer:

70 %

Step-by-step explanation:

Not sure but...

16 +7 =23

16/23 ×100%

=69.56 or 70%

Macy rolls a fair eight sided die with sides numbered from 1 to 8. Then from a box, she draws a numbered slip of paper. The slips of paper have numbers shown below.
1,2,5,7,8
Finally, she calculates the sum of her results.
Select all the true statements.
1.)A sum equal to 8 is the result 20 times in 80 rounds. This suggests the game is unfair.
2.)The probability of getting a sum that is a multiple of 3 is 3/8
3.) The probability of getting a sum that is even is 1/2.
4.) The probability of getting a sum that is greater than or equal to 12 is 11/40.
5.) The probability of getting a sum that is less than 10 is 21/40
There can be multiple answers

Answers

Probabilities are used to determine the chances of an event. The true statements from the 5 options are:

Probability that multiple of 3 is [tex]\frac{3}{8}[/tex]Probability of even sum is [tex]\frac{1}{2}[/tex]Probability of a sum greater than or equal to 12 is [tex]\frac{11}{40}[/tex]

Given that:

[tex]Die =\{1,2,3,4,5,6,7,8\}[/tex]

[tex]Number = \{1,2,5,7,8\}[/tex]

The possible outcomes are:[tex]S = \{(1,1),(1,2),(1,5),(1,7),(1,8),(2,1),(2,2),(2,5),(2,7),(2,8),(3,1),(3,2),(3,5),(3,7),(3,8)\\(4,1),(4,2),(4,5),(4,7),(4,8),(5,1),(5,2),(5,5),(5,7),(5,8),(6,1),(6,2),(6,5),(6,7),(6,8),\\(7,1),(7,2),(7,5),(7,7),(7,8),(8,1),(8,2),(8,5),(8,7),(8,8)\}[/tex]

The sum of the outcomes are:

[tex]S = \{2,3,6,8,9,3,4,7,9,10,4,5,8,10,11,5,6,9,11,12,6,7,10,12,\\13,7,8,11,13,14,8,9,12,14,15,9,10,13,15,16\}[/tex]

Rearrange

[tex]S = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9,10,10,10,10,11,11,11,\\12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(S) = 40[/tex]

Next, we test the options

(1) The game is unfair

The question implies that the eight sided die is fair. This means that the game is fair.

Option (1) is false.

(2) Probability that multiple of 3 is [tex]\frac{3}{8}[/tex]

The multiples of 3 in the sample space are:

[tex]3's = \{3,3,6,6,6,9,9,9,9,9,12,12,12,15,15\}[/tex]

[tex]n(3's) =15[/tex]

The probability is then calculated as:

[tex]P(3's) = \frac{n(3's)}{n(S)}[/tex]

[tex]P(3's) = \frac{15}{40}[/tex]

Simplify

[tex]P(3's) = \frac{3}{8}[/tex]

Option (2) is true

(3) Probability of even sum is [tex]\frac{1}{2}[/tex]

The even outcomes are:

[tex]Even =\{2,4,4,6,6,6,8,8,8,8,10,10,10,10,12,12,12,14,14,16\}[/tex]

[tex]n(Even) = 20[/tex]

The probability is then calculated as:

[tex]P(Even)= \frac{n(Even)}{n(S)}[/tex]

[tex]P(Even)= \frac{20}{40}[/tex]

Simplify

[tex]P(Even)= \frac{1}{2}[/tex]

Option (3) is true

(4) Probability of a sum greater than or equal to 12 is [tex]\frac{11}{40}[/tex]

The outcomes of a sum greater than or equal to 12 are:

[tex]Sum \ge 12 = \{12,12,12,13,13,13,14,14,15,15,16\}[/tex]

[tex]n(Sum \ge 12) = 11[/tex]

The probability is then calculated as:

[tex]P(Sum \ge 12) =\frac{n(P(Sum \ge 12)}{n(S)}[/tex]

[tex]P(Sum \ge 12) =\frac{11}{40}[/tex]

Option (4) is true

(5) Probability of a sum less than 10 is [tex]\frac{21}{40}[/tex]

The outcomes of a sum less than 10 are:

[tex]Sum < 10 = \{2,3,3,4,4,5,5,6,6,6,7,7,7,8,8,8,8,9,9,9,9,9\}[/tex]

[tex]n(Sum < 10) = 22[/tex]

The probability is then calculated as:

[tex]P(Sum < 10) =\frac{n(P(Sum < 10)}{n(S)}[/tex]

[tex]P(Sum < 10) =\frac{22}{40}[/tex]

Option (5) is false

Hence, the true statements are: options 2, 3 and 4.

Read more about probabilities at:

https://brainly.com/question/20954641

Answer:

2.) The probability of getting a sum that is a multiple of 3 is 3/8

3.) The probability of getting a sum that is even is 1/2.

4.) The probability of getting a sum that is greater than or equal to 12 is 11/40

Explanation:

Answer choices are
A:50
B:60
C:120
D:150

Answers

The answer is B, since a triangle has 180 degrees and the 2 angles add up to 120 making the last angle be 60 degrees

Select all of the numbers that are irrational.

Answers

1, 4 ,5 ,6 are all irrational.

Find the inverse of

g(x)=16+x/4

Give full explanation

Answers

Answer:

x/4 + 16

Step-by-step explanation:

to  add or subtract the expressions expand them to make therir deomanators the same . Multiply 16 times 4/4

since 16 x 4/4 have the same deniomanator add them by adding the numorators

do the multiplications in 16X4 + x

= x/4 + 16

hopes this help!

What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?

Answers

The answer to this solution is your welcome A=7













Answer:

a=56/11

Step-by-step explanation:

The price For a $4.50 PEN AFTER A 60% DISCOUNT WAS applied

Answers

Answer:

$1.80

Step-by-step explanation:

Answer:

$1.8

Step-by-step explanation:

60% of 4.50 is 2.7

4.50 - 2.7 = 1.8

hi amazing people please help i’ll give brainliest thanks!

Answers

Answer:

I dont think so: False

Step-by-step explanation:

If they are team rivalries, They would talk about how they are always one above the other. Such as One winning and one losing or a 50/50 chance.

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