A warren of rabbits has a population of 350. The population is increasing at a rate of 3% per year. How can you write an exponential growth function to find the monthly growth rate? (I have other question pls help if you can)

Answers

Answer 1

The exponential growth function to find the monthly growth rate is:

[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]

We have,

To write an exponential growth function to find the monthly growth rate, use the following formula:

[tex]P(t) = P_0 (1 + r)^t[/tex]

Where:

P(t) is the population at time t

P₀ is the initial population (350 in this case)

r is the growth rate per time period (monthly rate in this case)

t is the time in the corresponding time period

To find the monthly growth rate.

[tex]= (1 + r)^{1/12} - 1[/tex]

= [tex](1 + 0.03)^{1/12} - 1[/tex]

= 0.02493

= 2.493 %

Therefore,

The exponential growth function to find the monthly growth rate is:

[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]

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Related Questions

One Step Equations
-104=8x

Please show your work, thank you.

Answers

Answer:

= − 1 3

Step-by-step explanation:

8x/8 = -104/8

Brainliest?

Which of the following are not parts of a pyramid? diameter, altitude, radius, lateral edges, vertex.​

Answers

Yes, the answer is Diameter and Radius.

Answer:

Radius and diameter are not part of a pyramid

Solve the triangle. A = 46°, a = 31, b = 27

Answers

Answer:

A=46 degrees, B=33.4 degrees, C=100.6 degrees

a=34, b=27, c=48.2

Step-by-step explanation:

(a/sin(A)) = (b/sin(B)) = (c/sin(C))

we are given

(34/sin(46)) = (27/sin(B))

34sin(B) = 26sin(46)

34sin(B) = 18.702834809

sin(B) = 0.550083377

note use inverse sin function to find angle B

B = 33.372733167 approx 33.4 degrees then

C = 180 - (46 + 33.4) = 100.6

Then, (b/sin(B)) = (c/sin(C))

27/0.550083377 = c/0.982935349

0.550083377 * c = 27 * 0.982935349

0.550083377 * c = 26.539254427

c = 48.245876056 approx 48.2 .

Lastly, you get: A=46 degrees, B=33.4 degrees, C=100.6 degrees

a=34, b=27, c=48.2

What is the area of the figure? I give brainliest and thanks! :)

Answers

Answer:

ok I would give answer that is 85.5mi^2

Someone please help me answer this!!

Answers

Answer:

b = 9cm is the answer.

Step-by-step explanation:

a = 12cm

b = ?

c = 15cm

By using the Pythagoras theorem,

a² + b² = c²

12² + b² = 15²

144 + b² = 225

b² = 225 - 144

b² = 81

b = 9cm.

∴ b = 9cm is the length of the missing leg.

-9b+2n-4+2b

Solve please

Answers

Answer:

-9b+2n-4+2b

-7b+2n-4 is your answer

-7+2n-4 is your answer

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Answers

Answer: 4/18

Step-by-step explanation:

The ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Let's suppose the x out of 18 can be written as 0.22222222

x/18 = 0.22222222

x = 3.999999 ≈ 4

It means 4/18 can be written as 0.22222222

Thus, the ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

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The solutions to quadratic equation are called (select all that applies)
Maximum or Minimum
Parabolas
Line of Symmetry
Zeros
Roots

Answers

Answer:

zeros

roots

Step-by-step explanation:

HELP HELP GEOMETRY 15 points

Answers

Answer:

BC

_______________________________

A is wrong because radians really refers to the arc with respect to the angle. The opposite is true with A.

D is wrong because the arc is actually bigger than the radius given 1.5 radians.

E is wrong because the area of the whole circle is defined as 2π radians, 1.5 rad × 1.5 = 2.25 rad is (405/π)° and 2π radians is 360° (2π × 180 / π)°.

F is wrong because the circumference of a circle is 2πr.

Lena purchased a prepaid phone card for $15. Long distance calls cost .17 cents a minute using this card. Lena used her card only once to make a long distance call. If the remaining credit on her card is $7.01, how many minutes did her call last?

Answers

Answer: 47 minutes

Step-by-step explanation:

Answer:

47 minutes is the answer

Find the value of x.
1. m<2=x+41
2. m<2=-4+7x
3. m<2=10x-8
4. m<2=x+141

Answers

Answer:

1. 2=x+41

‐x=41‐2

x=‐39

2. 2=4+7×

‐7×=4‐2

7×=2

3. 2=10×+8

‐10×=8‐2

‐5×=3

5×=‐3

4.2=×+141

‐x+2=141

‐x=139

I need help Asap please

Answers

9514 1404 393

Answer:

  c

Step-by-step explanation:

Choice A lists most of them, but choice C lists them all.

__

Vertical angles are on opposite sides of the intersection of crossing lines. They share a vertex, and have sides that are opposite rays.

Simplify 4^3 • 4^5
a 4^8
b 16•15
c 4^15
d 16^8

Answers

Answer:

4^8

Step-by-step explanation:

keep base (which is 4) and add exponents when multiplying

An online store sells flower arrangements for birthdays and other special events. In a review of their production costs, the
online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5
dollars.
Construct a confidence interval for the mean cost (in dollars) for one shipment of vases.

Answers

Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Step-by-step explanation:

Confidence interval for mean: Mean ± Margin of error

Given: The  online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5  dollars.

A confidence interval for the mean cost (in dollars) for one shipment of vases

[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]

Hence,  a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Decide which of the following quantities can be represented by a positive number and which can be represented by a negative number. Give an example of a quantity with the opposite sign in the same situation

Answers

Answer:

Step-by-step explanation:

a +

b -

c +

d -

e -

positive, Negative , Positive, Negative, Negative.

What is Number System?

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

The given sentences are

(A) Tylers puppy gained 5 pounds.

This we can take as a positive number. Because here the value is increasing. whenever we use gained means it is positive.

Tylers puppy lost 5 pounds is the negative number.

(b) The aquarium leaked two pounds of water

This we can take as a Negative number. Because here the value is decreased. whenever we use leaked means it is negative.

The aquarium added with two pounds of water is a positive.

(c) Andrew received a gift of $10.

This we can take as a positive number. Because here the value is increasing. whenever we use received means it is positive.

Andrew gifted a gift of $10.

This we can take as a Negative number. Because here the value is decreased. whenever we use gifted means it is negative.

(d) Kiran gave a gift of $10

This we can take as a Negative number. Because here the value is decreased. whenever we use gave means it is negative.

Kiran received a gift of $10 is positive.

(e) A climber descended 550 feet.

This we can take as a Negative number. Because here the value is decreased. whenever we use descended means it is negative.

Hence positive, Negative , Positive, Negative, Negative,.

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32 pages to 28 pages. ​

Answers

Answer:

12.5%

Step-by-step explanation:

percent change is calculated as

[tex]\frac{change}{original\\}[/tex]    x 100

change = 32 − 28 = 4 pages

[tex]\frac{4}{32}[/tex] x 100% = [tex]\frac{100}{8}[/tex] % = 12.5 %

Hope it helps

Mean (M) = 6, Standard deviation (SD) = 2.45,
calculate the z-score for the specified raw score of 4.

Answers

Answer:

z = -0.816

Step-by-step explanation:

z = (x-μ)/σ

z = (4-6)/2.45

z = -0.816

HELPPPP MEEEEEEEEEEEEEEEEE

Answers

Answer: what you need

Step-by-step explanation:

What is the slope of the line?

Answers

The slope of the line is 7/4

Answer:

-7/4

Step-by-step explanation:

Hi,

To find the slope of the line, get two points, and divide the change in y over the change in x. So, let's find two points.

(1,-3) and (-3,4)

Change in y: 4 - (-3) = 7 (Remember when you subtract a negative, you add)

Change in x: -3 - 1 = -4

7/-4 = -7/4

-7/4 is your slope.

I hope this helps :)

(DONT ANSWER IF YOU GOING TO GIVE SOME TYPE OF LINK )please help me I’m begging ya I really need help if I don’t finish in 20 min I’m going to get a whopping and it will get lock!!! My teacher strict she won’t let me do it. (NO LINKS)
(NO LYING) especially if you don’t know it!!!!

Answers

1. 1143.36.

2. Withdrawal

3. Deposit

4.C

5.2185.07

hi, I need to send you a screenshot​

Answers

I mean guess why not :)

the difference between the squares of two numbers is 32. twice the square of the first number increased by the square of the second number is 76. find the numbers.​

Answers

Answer:

The numbers are 6 and 2

6 squared = 36

2 squared = 4

So 36-4 = 32

And 36 x 2 = 72 + 4 = 76

1. Use the three-dimensonal figure to draw the orthographic projection for each indicated viewpoint or perspective.
a. Front view
b. Back view
c. Bottom view
d. Top view

Answers

Answer:

I kinda color coded it. Hopefully this helps.

Step-by-step explanation:

Please look at the attached screenshots.

the 3-dimensonal figure color and attached below the orthographic projection for each indicated viewpoint or perspective.

A 3-dimensional figure, and solid, is bounded from the flat and curved surfaces that enclose the single region of space. A polyhedron is the solid that is bounded by polygons, known as faces. An edge of the polyhedron is the line segment formed by the intersection of 2 faces.

What are Dimensions?

Dimensions in the mathematics are the measure of the distance and size of the object and region and space in 1 direction. In simpler terms, it is the measurement of the length, width, or height of anything.

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HELP!!! “Fill in the boxes with the values that make the statement true.”

Answers

Answer:

[tex]\sqrt{21m^{17} } = 3m \sqrt[17]{7m}[/tex]

(look attachment)

can someone help me out with these equations?
1. (5+ √3)^2
2. (√6-5√3)^2
3. (6+3√2)^2

Answers

9514 1404 393

Answer:

28 +10√381 -30√254 +36√2

Step-by-step explanation:

It is useful to remember the form for the square of a binomial.

  (a +b)² = a² +2ab +b²

  (a -b)² = a² -2ab +b²

__

1. (5 +√3)² = 5² +2·5·√3 +(√3)² = 25 +10√3 +3

  = 28 +10√3

__

2. (√6 -5√3)² = (√6)² -2·√6·5√3 +(5√3)² = 6 -30√2 +75

  = 81 -30√2

__

3. (6 +3√2)² = 6² +2·6·3√2 +(3√2)² = 36 +36√2 +18

  = 54 +36√2

Help what’s the rule

Answers

doubling or quadruple

Please help me. im giving 10 pointssss

Answers

answer: the inequality is 5 x y < 7

hope this helped, i might be wrong though

Answer:

5+y<7

I think

Step-by-step explanation:

PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.

Answers

alternate exterior angles

explanation : as u can see the 2 and 8 are outside of the lines making it exterior, they are also alternate because one is on the outside of the left and one is outside of the right making it an alternate exterior angel

log (5x) (x)= 7/2


Answers

Answer:

[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]

4.01 ESSENTIAL QUESTIONS
How do you use the distance formula and slope formula to classify a
quadrilateral?
How do you use the distance formula and slope formula to classify a triangle?
How do you use the distance formula and slope formula to prove properties of
polygons?

4.02 ESSENTIAL QUESTIONS
How do you use the slope to prove lines are parallel or perpendicular?
How do you write an equation of a line so that it is parallel or perpendicular to a
given point?
How do you use parallel and perpendicular lines to solve real-world problems?
4.03 ESSENTIAL QUESTIONS
How do you divide a segment into given ratios?

How do you use coordinates to find the perimeter and area of polygons?

Answers

Answer:

You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom

Step-by-step explanation:

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