The population of fish in an aquarium can be modeled after exponential growth. If there were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there be after 14 weeks?​

Answers

Answer 1

Answer:

The population in 14 weeks is 232 fishes

Step-by-step explanation:

The equation for exponential growth is f(x) = a·(1 + r)ˣ

Where;

a = The starting population size = 3

r = The rate at which the population of grows

x = The number of periods to of change of the population

Therefore, we have;

f(6) = 31 = 3 × (1 + r)⁶

31/3 = (1 + r)⁶

㏑(31/3) = 6㏑(1 + r)

(㏑(31/3))/6 =㏑(1 + r)

1 + r = e^((㏑(31/3))/6) ≈ 1.476

1 + r ≈ 1.476

Therefore, the population in 14 weeks is given as follows;

f(14) = 3 × (1.467)¹⁴ ≈ 232.574

Given that we the information is with regard of living things, such that there are no fractions, we round down to the nearest whole number as follows;

f(14) ≈ 232

The population in 14 weeks = 232 fishes.


Related Questions

Jaime ran the first 3 1/3 miles of a 5-mile race in 1/3 hour. What was her average rate, in miles per hour, for this first part of the race? Explain how you solved the problem.

Answers

9514 1404 393

Answer:

  10 mph

Step-by-step explanation:

To find miles per hour, divide miles by hours:

  (3 1/3 mi)/(1/3 h) = (10/3)/(1/3) mi/h = 10 mi/h

Jaime's average rate was 10 miles per hour.

if a certain cannon is fired from a height of 8.5 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, In seconds, is found by the function h(t)=-4.9t^2+27.5t+8.5 Find the time it takes for the cannonball to strike the ground.

Answers

Answer: 2.88 seconds

Step-by-step explanation:

we need to find t in the formula, when h(t) = 0, (meaning it hits the ground).

0 = -4.9t² + 27.5t + 8.5

Using the quadratic formula:

x = (-b ± √b² - 4ac)/2a

x = (-27.5 ± √27.5² - 4(-4.9)(8.5))/2(27.5)

x = (-27.5 ± 30.38)/55

x = 2.88   OR     x = -57.88

Since time cannot be negative, we will stick with the positive answer, 2.88 seconds.

Hope this helped :)

when the original members of the Chess Club were joined by four new members. There were 28 members. Which equation represents this information? (let n = the original members)

Answers

Answer:

n+4=28

Step-by-step explanation:

Since n is the original members and 4 joined, n+4=28, the new members.

You would have to do 28-4=n

Use the proportion to solve for the unknown base measure of the enlarged trapezoid. 1.Set up the proportion: StartFraction 2 over 3.25 EndFraction = StartFraction x over 6.5 EndFraction 2.Use cross products: 2(6.5) = 3.25(x) 3.Simplify: 13 = 3.25x 4.Divide both sides by 3.25: The missing base measure of the enlarged trapezoid is cm.

Answers

Answer:

The missing base measure of the enlarged trapezoid is 4cm.

Step-by-step explanation:

Step 1:

2 / 3.25 = x / 6.5

Step 2:

Cross product

2 * 6.5 = 3.25 * x

Step 3:

Simplify

13 = 3.25x

Step 4:

Divide both sides by 3.25

13 / 3.25 = 3.25x / 3.25

4 = x

x = 4

The missing base measure of the enlarged trapezoid is 4cm.

Answer:

its 4cm

Step-by-step explanation:

i got it right

Solve the following inequality. Negative one-half p less-than negative 16 Which graph shows the correct solution? A number line going from 27 to 37. An open circle is at 32. Everything to the right of the circle is shaded. A number line going from 27 to 37. An open circle is at 32. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the left of the circle is shaded. A number line going from 3 to 13. An open circle is at 8. Everything to the right of the circle is shaded.

Answers

Answer:

An open circle at 32 and everything to the right of the circle is shaded.

Step-by-step explanation:

[tex]-\dfrac12p < -16[/tex]

Divide both sides by -1 (remembering to reverse the sign):

[tex]\implies \dfrac12p > 16[/tex]

[tex]\implies p > 32[/tex]

Open circle:  < or >

Closed circle:  ≤ or ≥

Therefore, open circle at 32 and everything to the right of the circle is shaded.

Answer:

A on edge 2023

Step-by-step explanation:

This company has information about businesses and complaints that have been filed against them. It would be a good idea to check here before making large purchases.

Answers

It is essential to analyze a company's reputation before making large purchases, that is, researching information about the company and complaints that have been filed against them, to verify the company's reliability.

What is business reputation?

It corresponds to an organization's public perception of its operations, products and services and corporate governance. A company's reputation can be positive or negative, and it is changeable according to its actions.

Therefore, it is essential that a customer seeks to consume from companies that have a good reputation in relation to the entire process of selling products and services, as well as their socio-environmental responsibility.

And companies must implement strategies that generate value for the consumer through positive practices that promote social and environmental development, in addition to quality and good service.

Find out more information about corporate governance here:

https://brainly.com/question/980342

hi

everyonee!!!!!!!!!

Answers

wassssupppppppppppppppppp

what is the answer
−3p + 16−2p −4

Answers

Answer:

-5p+12

Step-by-step explanation:

The answer should be -5p+ 12

Circle A has a circumference of 25 centimeters. Circle B's diameter is 3 times as long as circle A’s diameter. What is the circumference of circle B?


- And don’t say 10 because it’s wrong

Answers

Answer:  74.98cm

Step-by-step explanation:

Step 1: Find out radius of Circle A. [We use circumference of circle A to find its radius].

Circumference of circle A = 2πr; where r is radius.  

To better viewing we change sides, we get:

                                     2πr = Circumference of circle A

                                     2πr = 25

                                         r = [tex]\frac{25}{2\pi }[/tex]

                                         r = [tex]\frac{25}{3.14}[/tex]

                                         r ≈ 3.98

Step 2: Calculate the diameter of circle A.

diameter of circle A = 2r = 2(3.98) = 7.96

Step 3: Finding diameter of circle B.

diameter of circle B = 3(diameter of circle A) = 3(7.96) = 23.88

Step 4: Converted diameter of circle B to r.

diameter of circle B = 2r

                      23.88 = 2r

divided 2 from both sides, we get:

                        11.94 = r

Step 5: Substitute radius of circle B into the circumference formula, where C = 2πr.

C = 2πr

C = 2(3.14)(11.94)

C ≈ 74.98

                                 

                         

has ayone taken the math kangaroo if so any tips on how to study my test is tommorow

Answers

Look up past Kangaroo contests (with answer keys) and practice. Also, time yourself so you can get an idea of how the time pressure will feel.

Simplify 8 - (-5) - 4(-7).
PLEASEE HURRY

Answers

Answer:41

Step-by-step explanation:8-(-5) is 13

then 4(-7) is -28

so 13 - - 28 is same as 13 + 28 which is 41

How did I get this wrong?

Answers

Answer: Choice B) 83%

This value is exact

==================================================

Explanation:

Add up everyone in the "has a pet" column to get 22+78 = 100. So we have 100 people who have a pet.

Add up every value in the "male" row to get 22+66 = 88. So there are 88 males

It's tempting to say that 100+88 = 188 people either have a pet or are male, but we're double counting the 22 males who have a pet (top left corner). So we must subtract that value off to get 188-22 = 166

Another way you could look at it is to add up every value that is either in the "has pet" column or is in the "male" row, giving us: 22+78+66 = 166

So there are 166 people who either have a pet, are male, or both.

This is out of 22+66+78+34 = 200 people total

Divide the two values to get 166/200 = 0.83 = 83%

Farmer MacDonald has 72 cows and pigs on his farm. The ratio of cows to pigs is 5 to 3. How many cows and how many pigs does he have?

Answers

Answer: 45 and 27

Step-by-step explanation:

A lil trick Is that u add 5+3=8  then 72/8 = 9

So then 5x9 and 3x9 because each ratio "unit" Is equal to 9 so ya

gl

how do you find the center of a data set (statistic)

Answers

Step-by-step explanation:

The center of a data set is also called the middle. So, just arrange them in numerical order least to greatest and the middle number is your answer.

Which number line shows the solutions to n > 3?

Answers

Answer:

The second one.

Step-by-step explanation:

The hollow dots represent > or < depending the direction of the arrow. The filled dots represent less than or equal to. So the second.

Answer: Your answer would be B

Step-by-step explanation: The open circle means it's not greater than or equal to! So therefore, answer is B! Let me know if I'm wrong. If not have a great day!

help will give crown

Answers

Answer:

the answer of the question is C because 1/2=.5

The answer is D. because 5/9 equals 0.5 repeating

what is 1/6 as a decimal (This question is worth 15 points)

Answers

Answer:

0.17

Step-by-step explanation:

divide one by six and you will get 0.16666 and so on, depending on the question but it will be best if you put it in two decimal place, which us 0.17

help please ive been stuck on this for days ( the shapes need an answer )

Answers

Answer:

circle = 1/3

pls mark brainliest

Mark McGuire hit 70 home runs in the 1998 season. Given that there are 4 bases & 90 feet between each base, how many miles did he run that season just from home runs?​

Answers

Answer:

4.8 or about 5 miles

Step-by-step explanation:

In order to solve this problem, you must first multiply the 4 bases × 90 feet to get how much feet he runs in 1 home run. 4 × 90= 360 feet. Then you must multiply 360 feet × 70 homeruns, this will give you how many feet he ran in 70 homeruns. Your answer will be 25,200 feet. Now, there are 5,280 feet in one mile, so you must divide 25,200 by 5,280. Using a calculator, my answer was 4.7727272727. I then rounded it up to 4.8 miles, or about 5 miles.

Find the quotient
1) 3 1/4 divided by 5 1/2

Answers

Answer:

13/22

Step-by-step explanation:

Adnan pours out 18 servings of lemonade. Each serving contains 120 milliliters of lemonade.

How many liters of lemonade in all did Adnan pour out?


0.216 L

2.16 L

21.6 L

216 L

Answers

Since all the answers are in litres, it would be smart to convert what we have to litres as well.

Since there are 1000mL in a L, we divide our mL by 1000 to get L.

120 / 1000 = 0.120 L

Since there are 18 of these, multiply by 18.

0.120 x 18 = 2.16

Answer is 2.16 L

please help asap it will help very much

Answers

Answer:

180 cm²

Step-by-step explanation:

From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.

Area of a square = x² (where x is the length of one side)

⇒ area of the square = 6² = 36 cm²

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

⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²

Total surface area = 4 x area of one triangle + area of the square

                               = 4 x 36 + 36

                               = 144 + 36

                               = 180 cm²

Answer:

180 I was the first so could I have brainlyest

Step-by-step explanation:

we need the area of 4 triangles and one square triangle = base x height x 1/2     square = base x height         6 x 6 = 36 + (  6 x 12 / 2 x 4 = 144)  = 180

Question 3
5 pts
The ordered pair D(0, -5) is translated 2 units left and 6 units up. Which of
the following describes the translation using translation rules?
O (x + 6. y - 2)
O (x - 2, y + 6)
0 (x - 6, y + 2)
O (x - 2, y - 6)

Answers

Answer(x - 2, y + 6)

Step-by-step explanation: just remember where x and y are.

I need this answer asap... quickest answer
gets marked brainiest and hella points
PLEASE HURRY!!!

Answers

Answer: $2,728.40

Step-by-step explanation:

The starting value is: $17,000

the rate of deprecation is: 12.25%

time = 14 years

Lets plug this into the interest formula:

Cost after 14 years = Principle(1 - r)^t

Cost after 14 years = 17,000(1 - 0.1225)^14

Cost after 14 years ≅$2,728.40

Deprecation happens pretty quickly!

There are 50 pounds of dog food in each bag.
True or false

Answers

Answer: True

Step-by-step explanation:

Please help this is my question: 247 is the same as the product of c and 30.

Answers

Answer:

The closet answer I could get is c=8.23.

Step-by-step explanation:

c×30=247

c=247/30=8.23333333333.

Don't really know?

What is the slope of the line that passes through the points (2, 9)(2,9) and (18, -3)(18,−3)? Write your answer in simplest form.

Answers

(2 ; 9) and (18 ; - 3)

slope = (-3 - 9) / (18 - 2) = -12/16 = -3/4 or - 0,75

Slope of the line that passes through the points (2, 9) and (18, -3) is -2.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b

where m is the slope and b is y intercept.

The formula to calculate slope passing through two points (x1, y1) and (x2, y2) is

m= (y₂- y₁)/(x₂-x₁)

The given two points are (2, 9) and (8, -3)

Here x₁=2, y₁=9, x₂=8, and y₂=-3

Substitute the values in formula of slope.

m=-3-9/8-2

m=-12/6

m=-2

Hence slope of the line that passes through the points (2, 9) and (18, -3) is -2.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ5

Order the numbers from greatest to least. [-0.5, 1.5, 0, -5, 1.25]

a. 0, 1.5, 1.25, -0.5, -1.5 b. -0.5, -5, 0, 1.5, 1.25

c. 1.5, 1.25, 0, -5, -0.5 d. 1.5, 1.25, 0, -0.5, -5

Answers

Answer:

the answer is d. fjdkdkddkdkdkd

Answer: d) 1.5, 1.25, 0, -0.5, -5

The positive values will decrease (1.5, 1.25) while the negative values will increase in terms of absolute value (-0.5, -5)

It might help to draw out a number line, as shown below, to help sort out the values.

67+90(56768*4387)-78÷3456




help















talk to me please

Answers

Answer Is: 22413709506.977

5 times what equals 53

Answers

Answer:

The answer is 10.6

Step-by-step explanation:

Divide 53 by 5 :)

Answer:

10.6

Step-by-step explanation:

53/5=10.6

or 10.6 multiplied by 5 equals 53

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