A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?

A. y = 25(1.2)^t
B. y = 25(1.1)^12t
C. y = 25(1.0167)^t
D. y = 25(1.01531)^12t

Answers

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The exponential growth function is "[tex]y = 25(1.0167)^t[/tex]". A complete solution is below.

Given:

Population,

25

Increasing rate,

r = 20%

Now,

The value after 1 year will be:

= [tex]25+(\frac{20}{100} )25[/tex]

= [tex]25+\frac{1}{5}\times 25[/tex]

= [tex]25+5[/tex]

= [tex]30[/tex]

Now

→ [tex]25(1+\frac{R}{100} )^{12} =30[/tex]

→                   [tex]R = 1.67[/tex]

hence,

The exponential growth rate to find the monthly growth rate will be:

→ [tex]y = 25(1.0167)^t[/tex]

Thus the above answer i.e., option C is the correct alternative.

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Related Questions

Is 5 - 2x in standard form?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes of course

Step-by-step explanation:

because 2x is a variable and it can't be added further

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The points represented by the (x, y) coordinate pairs all lie on line "k". These are the points: (1,3), (2, 1), (3,-1). (4.-3), and (5,-5). What is the slope of line k? A.2 B.5 C.-3 D.-2​

Answers

Answer:a

Step-by-step explanation:

Bsnanna

If the points (1,3), (2, 1), (3,-1). (4.-3) lie on line k, then the slope of line k is -2

Option D is the correct choice

The points that lie on the line k are:

(1,3), (2, 1), (3,-1). (4.-3), and (5,-5).

We can find the slope of the line k by picking any two points on the line

The slope m of a line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

On the line k, let us select the points (1,3) and (2, 1)

x₁ = 1, y₁ = 3, x₂ = 2, y₂ = 1

[tex]m = \frac{1-3}{2-1} \\\\m= \frac{-2}{1}\\\\m= -2[/tex]

Therefore, the slope of the line k is -2

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-4+2(5k-6)=-3k-39

need it with the steps

Answers

PEMDAS
1. Distributive property 2(5k-6) = 10k -12
2. Add 10k-12-4= - 3K -39 which is 10k-16= - 3K -39
3. Add to both sides 10k -16 +16 = 10k, -3k-39 + 16 = -3k-24, 10k = -3k-24
4. Add to both sides with variable
10k + 3k = 13k, -3k-24+3k = -24
5. Divide 13k/13 = -24/13
6. The answer k≈ −1.846153846153846

Write the measure in descending order 0.5m - 480mm - 55cm​

Answers

Answer:

480mm<55cm<0.5m

Step-by-step explanation:

millimeters means 100

centimeters means 10

meters means 1

there are 10mm in every 1cm and 100cm in every 1m

Answer:

55cm>0.5m>480mm

Step-by-step explanation:

as we know

1000mm=1m

100cm=1m

So we see

55=55cm

0.50=50cm

480=48cm

Hope it helps you thanks

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Thank you

I need help with this
If x + 3 /3 = y + 2/ 2 ,then x/ 3 =

Answers

Answer:

First solve for x

then substitute

Step-by-step explanation:

[tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex]

[tex]6(\frac{x+3}{3}=\frac{y+2}{2})[/tex]

2x + 6 = 3y + 6

2x = 3y

[tex]x = \frac{3y}{2}[/tex]

If [tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex] then [tex]\frac{x}{3}[/tex] =

[tex]x = \frac{3y}{2} /3 = \frac{y}3}[/tex]

PLS HELP ILL MARK BRAINLIEST!!!

Answers

Answer:

X is 20 :)

Step-by-step explanation:

this is what you would do

set (2+3x)= 62

3x=62-2

3x=60

60/3=x

x=20!

Suppose that the probability that your mail is delivered before 2 pm. 90. What is the probability that your mail will be delivered before 2 pm for two consecutive days? Give your answer as a decimal.
Thank you!

Answers

Answer:

Step-by-step explanation:

1. The probability that your mail is delivered before 2 pm is 0.9, so the probability that the mail is delivered at 2 pm or after 2 pm (so not before 2 pm) is 1-0.9=0.1.

Remark: 0.9=9/10=90/100=90%, and 0.1 is 10%

2. Probability of the mail being delivered before 2 pm for 2 consecutive days is  

3. take a look at the picture attached, the tree diagram is another method we could use.

Answer:

.81

Step-by-step explanation:

I have acellus too and this is the correct answer. I can't explain it very well. Sorry!

3912 divided by 48!!!!!!!!! Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

81.5

Step-by-step explanation:

Answer:

81.5

Step-by-step explanation:

Hope this Helps!

ABCD is a parallelogram. Find the measure of ABC.
12°
B
130°
A
389
12°
с
38°
50°

Answers

Answer:

50°

Step-by-step explanation:

As we know that the opposite angles of parallelogram are equal so

< ADC = < ABC

< ABC = 38° +12°

< ABC = 50°

Hope it will help :)

HELP URGENT DUE IN 5 MINUTES URGENT PLEASE

Answers

The answer is C

x - 2y = 4
-x -x
-2y = 4 - x (divide that by 2)

Y = 1/2x - 2

PLZ HELP WITH THESE AND FAST!!!!!!!!!!!!

Answers

Answer:

(11+4)/3*square root of 64=40

Step-by-step explanation:

11+4=15

15/3=5

the square root of 64 is 8

5*8=40.

GOOD ANSWERS PLEASE!! WILL GIVE BRAINLIEST!!

Consider the triangle below.
Determine the angle measure for the bottom two angles in order for the triangle to be classified as an isosceles triangle.

Answers

Answer:

angle 1= 30 degrees

angle 2= 120 degrees

angle 3= 30 degrees

Step-by-step explanation:

A triangle is equal to 180 degrees so first step is to subtract 120 to get the total of your two missing angles

180-120=60

and since your two missing angles are equal to each other you can divide by 2 and you get your two missing angles

60 / 2 = 30

From her yearly salary of $193,837, Alina spent a total of $102,938 on rent, bills, and personal items. About how much did she save?

Note: The values of salary and the total expense must be rounded off to the nearest thousand before estimation.

Answers

Answer:

92,000i think this is the answer

16. If x and y are positive integers such that the greatest
common factor of xy2 and xy” is 50, then which of
the following could equal y ?
F. 50
G. 25
H. 10
J. 5
K. 2

Answers

I think it will be 50 so that means is f

What js the value of (x)?​

Answers

the value of x is x=8

Write an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2​

Answers

10:4 whatever you do to one of the ratios do the same to the other ratio. For example 5:2 boys to girls if you multiply the boys by 2 it will equal 10; and do the same to the girls which equal 4. Therefore an equivalent ratio is 10:4

Please help with this look below! : )

Answers

Answer:

$0.40

Step-by-step explanation:

5.60/14 = .40

Solve the equation for x:
|5x - 61 = -10

Answers

Answer:

x=51/5

Step-by-step explanation:

Add 61 on both sides

You'll have 5x=51

So now 51/5 is your answer.

Answer:

16/5

Step-by-step explanation:

|5x - 6| = -10

5x -6 = 10

5x = 10+6 = 16

x = 16/5

pls help thank you!
choose the best answer
x^2=36

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

x^2-78=0

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

x^2-8x+16x=0

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

3x^2-6x=29

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

5x^2-4x+3=0

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

Answers

Answer:

two distinct real solutions

Answer:

the first one is b)

Step-by-step explanation:

the first one is B. bc x= 6 or x= -6

A circle has a diameter of 12 inches. What is the area of the circle? А 367 inches squared B 247 inches squared C 127 inches squared D 67 inches squared​

Answers

Answer:

113.1

Step-by-step explanation:

A = πr²

A = π (6)²

A = π (36)

A = 113.09 = 113.1

A forest covers 73,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many
acres of old-growth trees are there?
There are acres of old-growth trees.
Type an integer or a decimal)

Answers

Answer:

143 acres.

Step-by-step explanation:

To find how many acres of old-growth trees there are, we need to find what 0.2% of 73,000 is.

To find a percent of a number, multiply the percent by the number.

0.2% is equal to 0.002.

73,000 x 0.002 = 143

So, 143 acres of the forest is old-growth trees.

I would appreciate brainliest, if not that's ok!

eqfrtvwetsbhsrtzdvcsrtbdhv

Answers

Answer:

ERSEYHEFUHEFYUBREHFBHRBVYICRWHBG

Step-by-step explanation:

Colton has 888 comedy movies, 666 action movies, 555 fantasy movies, and 111 drama movie on his list of favorite movies. For every 555 movies on the list, there are 222 \_\_\_\_____\_, \_, \_, \_ movies.

Answers

Answer: Comedy

Step-by-step explanation:

Find out the percentages of each of the movies. First find the total quantity.

= 888 + 666 + 555 + 111

= 2,220 movies

Comedy = 888/2,220 * 100% = 40%

Action = 666 / 2,220 * 100% = 30%

Fantasy = 555/2,220 * 100% = 25%

Drama = 111/ 2,220 * 100% = 5%

222 movies out of 555 is:

= 222 / 555 * 100%

= 40%

222 movies out of 555 movies will therefore be comedy.

Answer:

222/555 are comedy

How many terms are in this expression?
1 + 9 + 3u
Submit

Answers

Answer:

2

Step-by-step explanation:

When it comes to like terms, they have to end with the same symbol A.K.A variables, exponents, and numbers.

1 + 9 + 3u

There are two terms, constants and variables, constant being 1 and 9 while variable being 3u.

76​% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today. Answer the questions below.

Answers

Answer:

[tex]E(x) = 4.56[/tex] --- Mean

[tex]s^2 = 1.0944[/tex] --- Variance

[tex]s = 1.0461[/tex] --- Standard Deviation

Step-by-step explanation:

See Comment for missing details

Given

[tex]p = 0.76[/tex] --- proportion

[tex]n = 6[/tex] -- sample

Solving (a): The mean; E(x)

This is calculated as:

[tex]E(x) = n * p[/tex]

Substitute values for n and p

[tex]E(x) = 6 * 0.76[/tex]

[tex]E(x) = 4.56[/tex]

Solving (b): The variance; s^2

This is calculated as:

[tex]s^2 = n*p*(1-p)[/tex]

Substitute values for n and p

[tex]s^2 = 6 * 0.76 * (1-0.76)[/tex]

[tex]s^2 = 6 * 0.76 * 0.24[/tex]

[tex]s^2 = 1.0944[/tex]

Solving (c): The standard deviation; s

This is calculated as:

[tex]s = \sqrt{s^2[/tex]

Substitute value for s^2

[tex]s = \sqrt{1.0944[/tex]

[tex]s = 1.0461[/tex]

alguien me ayuda??






lo necesito hoy :ccccc ☕​

Answers

Answer:

no se entiende la imagen

Answer:

La A

Step-by-step explanation:

Mentira no se ve nada solo escoge la D de Dios

Find the value of y for the given value of x.

y=2x−3;x=−4
y=

Answers

Step-by-step explanation:

Given

y = 2x - 3

if x = - 4 Then

y = 2 * ( -4) - 3

= -8 - 3

= - 11

Hope it will help :)

The value of y when the value of x is equal to the negative number 4 is negative 11 (-11).

What is an unknown variable?

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

The expression for the variable x and y are given as,

[tex]y=2x-3[/tex]

The x value for the above expression is given as,

[tex]x=-4[/tex]

The value of y for the above value of x has to be found out.  Put the value of x in the given expression to find the value of variable y as,

[tex]y=2(-4)-3[/tex]

Solve it further as,

[tex]y=2(-4)-3\\y=-8-3\\y=-11[/tex]

Hence, the value of y when the value of x is equal to the negative number 4 is negative 11 (-11).

Learn more about the unknown variable here;

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PLEASE HELP ILL GIVE YOU BRAINLIIEST


The common ratio of a geometric sequence is 3 and the 8th term is 4,374. What is the 4th term in this sequence?​

Answers

Answer:

the first term is a1

the 8th term is a8

the 4th term is a4

we have:

[tex]a8=a1.3^{7}\\\\<=>4374=a1.3^{7}\\\\<=>a1=2[/tex]

with a1 = 0,002 => a4 = a1.3³ = 2.27 =54

Step-by-step explanation:

The 4th term of the given geometric sequence is 54.

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The nth term of a GP is given as a[tex]r^{n-1}[/tex]

As per the given,

Common ratio r = 3

8th term = 4374

a(3)⁸⁻¹ = 4374

a = 2

The 4th term will be as, 2 x (3)⁴⁻¹ = 54

Hence "The 4th term of the given geometric sequence is 54".

For more information about the geometrical progression,

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Write these numbers in size order start with the smallest

7/9
8/11
0.79
84%
4/5

Answers

First convert all to decimal.

7/9 = 0.777
8/11 = 0.727
0.79 = 0.79
84% = 0.84
4/5 = 0.8

Now line them back up in order from least to greatest based on the decimal value.

Final answer:
8/11, 7/9, 0.79, 4/5, 84%

*WILL MARK BRAINLIEST*
simplify the irrational number square root of 45, then estimate it to two decimal places.

Answers

Answer:

3[tex]\sqrt{5}[/tex] which is approx 6.71

Step-by-step explanation:

[tex]\sqrt{45}[/tex] = [tex]\sqrt{9}[/tex]·[tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

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