How long will it take for a certain population of fish to triple if the relative growth rate is 45% per year?

Answers

Answer 1

Answer:

n = 3 Year (Approx)

Step-by-step explanation:

Given:

Growth rate (r) = 45% = 0.45

Find:

Number of year for 3 times of population (n)

Computation:

Assume;

Current population = P

So,

New population = 3P

A = p(1+r)ⁿ

3P = P(1+0.45)ⁿ

3 = (1.45)ⁿ

n = 2.96 year

n = 3 Year (Approx)


Related Questions

will give 100 points

Answers

Answer:

The answer is <ACD = 68°

Step-by-step explanation:

Using the property that the sum of interior angles in a triangle is equal 180°,we have:

<DAC + <ACD + <ADC = 180°

[tex]2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = \frac{56}{2 } \\ x = 28[/tex]

Finally, calculating the angle <ACD, we have:

<ACD = 180 - 4x

<ACD = 180 - 4 . 28

<ACD = 180 - 112

ACD = 68°

Answer:

x = 28°

m∠ACD = 68°

Step-by-step explanation:

From inspection of the given diagram:

m∠FDC = 124°m∠EAB = 2xm∠ACG = 4x

Vertical Angle Theorem

When two straight lines intersect, the vertical angles are congruent.

⇒ m∠DAC = m∠EAB = 2x

Angles on a straight line sum to 180°:

⇒ m∠ACD + 4x = 180°

⇒ m∠ACD + 4x - 4x = 180° - 4x

⇒ m∠ACD = 180° - 4x

Exterior Angle Theorem

The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

⇒ m∠DAC + m∠ACD = m∠FDC

⇒ 2x + (180° - 4x) = 124°

⇒ -2x + 180° = 124°

⇒ -2x + 180° - 180° = 124° - 180°

⇒ -2x = -56°

⇒ -2x ÷ -2 = -56° ÷ -2

⇒ x = 28°

To find m∠ACD, substitute the found value of x into the expression for the angle:

⇒ m∠ACD = 180° - 4x

⇒ m∠ACD = 180° - 4(28°)

⇒ m∠ACD = 180° - 112°

⇒ m∠ACD = 68°


Write the prime factorization of 375 and of 1000. How do u write that

Answers

Answer:

375 = 3 · 5³

1000 = 2³ · 5³

Step-by-step explanation:

Is 6 km greater or is 54,000 mm greater?

Answers

Answer:

We know that a kilometer is 1000 meters, and that a meter is 1000 millimeters. Therefore, 6 km is (much) larger than 54,000 mm

Step-by-step explanation:

I hope my answer help you

During each week, John buys 3 new art pieces. Write an equation that shows the relationship between the numbers of art pieces x and the total number of art pieces he owns y
select one
A. y = 3x
B. y = 9x
C. x = 3y
D. y = x

Answers

Answer:

The correct answer is A. y=3x.

The total amount of art pieces he owns is equal to three times the number of pieces x.

Let me know if this helps!

the answer is a, y=3x

A bank uses positive numbers to represent deposits and negative numbers to represent withdrawals. How would a bank represent a withdrawal of 19.4319.4319, point, 43 dollars?

Answers

Answer:

- $19.43

Step-by-step explanation:

Withdrawals are represented by negative values (-)

Deposits are represented by positive values (+)

To represent a withdrawal of $19.43

It would be represented as - $19.43

Pls help me out. :)..

Answers

Answer:

1402 tiles

Step-by-step explanation:

so in order to find the amount of glass tiles we will first need to find the surface area of the box

so the surface area formula for a rectangular prism is

2 (wl * hw* hl)

w- width

h- height

l- length

so the width would be 18centimeters

the height would be 7 cm

and the length would be 23 cm

therefore if we plug in the measurements into the equation it will give us a total surface area of

1402cm^2

therefore if Dimitri wants to cover the box with 1cm glass tiles then we take the 1402cm and divide it by 1cm leaving us with the same answer of

1402 tiles

William doubled the amount of money he had after raking leaves. Now he has $24.50. How much money did he hav before he doubled it?

Represent the amount that William had as the quotient of two rational numbers: then, determine how much money William had before he double it.

Answers

Answer:

x=8.16

Step-by-step explanation:

x=the money before

2x=doubled

3x=24.50

x=8.16

Answer:

The answer would be...

Step-by-step explanation:

$12.25 Because if you divide $24.50 by 2 then you would get the amount of money William had before he got doubled which would be $12.25.

Hope this helped

:)

A recipe calls for 3/2 cups of sugar to make 24 cookies. How many cups of sugar are needed to make 60 cookies?

Answers

Answer:

3.75 or 3 and 3/4

Step-by-step explanation:

3/2 Cups = 24 Cookies

    ?Cups      60=Cookies

Divide 60 by 24, which is 2.5

2.5x3/2 is 3.75 or, in fraction, 3 and 3/4

3 and 3/4 cups of sugar and needed to make 60 cookies

A scientist is performing a study on mosquitoes. She collects water with mosquito larvae and places it in an enclosed container in her lab. The scientist uses data from the study to create the function, M(t)=-3t^2+57t-144, where t is the number of days in the study.

Part A: Which equivalent form of M(t) reveals when the mosquitoes first appeared in the container and when there were no more mosquitoes in the container?

Part B: How long were there mosquitoes in the container?
Please show the work love yaa.

Answers

Answer:

M(t) = -3 (t - 16) (t - 3)

Step-by-step explanation: Assuming you are working on the practice book - section 5: quadratic equations and functions than this is the correct answer to your question. Although there is another question below the on you have asked on in the actual textbook so if you need help on that just ask me in the comments below.

Plssss Help plsssssssssssss

Answers

Answer:

y = 5x

Step-by-step explanation:

please help
Which of these describes the equation 3x + 7y = 8?
Select each correct answer.
A function
B. linear
C. nonlinear
D. proportional
E.
When x is 0, y is
F. When y is 2, x is 2 or -2.

Answers

According to the linear function concept, the correct answer is:

B. linear

Additionally:

When x = 0, [tex]\frac{8}{7}[/tex].When y = 2, x = -2.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, the function is:

[tex]3x + 7y = 8[/tex]

Placing into standard format:

[tex]7y = 8 - 3x[/tex]

[tex]y = \frac{8}{7} - \frac{3x}{7}[/tex]

Hence it is a linear function.

When x = 0:

[tex]y = \frac{8}{7} - \frac{3(0)}{7} = \frac{8}{7}[/tex]

When y = 2:

[tex]y = \frac{8}{7} - \frac{3x}{7}[/tex]

[tex]2 = \frac{8}{7} - \frac{3x}{7}[/tex]

[tex]8 - 3x = 14[/tex]

[tex]3x = -6[/tex]

[tex]x = -\frac{6}{3}[/tex]

[tex]x = -2[/tex]

You can learn more about linear functions at https://brainly.com/question/25898120

what is the measure of CBF?

Answers

144° i’m pretty sure

Answer:

∠CBF=136°

Step-by-step explanation:

The angles along a straight line always add up to 180:

∠CBF+∠FBA=180

∠CBF+44=180

∠CBF=136°

If p+q/s = 9, q/p= 4, and square root q= 6, what is the value of s?

Answers

Answer:

5

Step-by-step explanation:

square root q = 6 meaning that q is 36, when q/p = 4 you can plug in36 for q and divide by 4 getting 9 and now you have q = 36 and p = 9, and p+9=45 and 45/5=9 meaning that s is 5.

what is the slope y =5x - 1?​

Answers

Answer:

slope is 5/1

Step-by-step explanation:

y=mx+b

m=slope

Answer:

The slope is 5.

Step-by-step explanation:

Y is the y-axis. 5 is the slope. X is the x-axis. -1 is the y-intercept.

A high-speed elevator can rise 480 feet in 3 seconds. Which expression represents the rate, in feet per minute, of the elevator?

Answers

1 minute = 60 seconds

60 seconds/ 3 seconds = 20

480 feet x 20 = 9,600 feet

The elevator travels 9,600 feet per minute.

Answer:

160 feet per minute

Step-by-step explanation: i am 100% sure

HHHHEEELLPPPP MEEEEEEEEE PLZZZZ

Answers

Answer:

c

Step-by-step explanation:

mabye not but meh

Help I need this answer before the day is over

Answers

x=73 y=34

i think that is the answer

Would it be better to have a loan with 5% interest payback in 2 years, or a loan with 2% interest paid back in five years? Explain. Show work to justify your answer.

Answers

Step-by-step explanation:

If the interest on the loan is simple interest. Both the situation will have equal amount of interest ( 5*2 =10% of total amount). Therefore, it would be better to pay back with 2% interest paid back in five years. However, if the interest is compounded annually, 5% in 2 years will have lesser interest than 2% in 5 years. Hence, Former option would be better.

factor: p2−6−q(p2−6)2

Answers

Answer:

(p2−6)(1−2q)

Step-by-step explanation:

hope this helped <3

two angles of a triangle measure 67 degrees and 90 degrees what is the measure of the third angle?

Answers

23

.

.

.

.

.

.

.

I hope it's helpful for you dude

Answer:23

Step-by-step explanation:

PLEASE HELP WHATS THE ANSWER

Answers

Answer:

2,744

Step-by-step explanation:

[tex]C = 400 \sqrt[3]{n} + 200 \\ \\ plug \: C =5800 \\ \\ 5800 = 400 \sqrt[3]{n} + 200 \\ \\ 5800 - 200 = 400 \sqrt[3]{n} \\ \\ 5600 = 400 \sqrt[3]{n} \\ \\ \frac{5600}{400} = \sqrt[3]{n} \\ \\ 14 = \sqrt[3]{n} \\ \\ {(14) }^{3} = {(\sqrt[3]{n})}^{3} \\ (cubing\: both\: sides) \\\\ 2,744 = n \\ \\ n = 2,744[/tex]

Which expression is equivalent to 3(x - 2)+2x?
-X
3x
5x - 2
5x -6

Answers

Hey there!

The answer to your question is the third option; [tex]5x-6[/tex]

First, we'll start by simplifying your expression. Given:

[tex]3(x - 2)+2x[/tex]

Distribute the [tex]3[/tex]:

[tex]3x-6+2x[/tex]

Add [tex]3x[/tex] and [tex]2x[/tex]:

[tex]5x-6[/tex]

Therefore, the third option is correct.

Have a terrificly amazing day! :)

Write an inequality relating NM and NL-
NM < NL
NM<_ NL
NM > NL
NM>_ NL

Answers

Answer:

NM > LN

Step-by-step explanation:

Here, we want to write an inequality

we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively

as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;

So we can conclude that;

NM > LN

Answer:

NM > LN

Step-by-step explanation:

Here, we want to write an inequality

we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively

as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;

So we can conclude that;

NM > LN

Triangle XYZ is similar to triangle fgh solve for n​

Answers

Answer:

Step-by-step explanation: the answer is 18

Question 4 0
A two-sample t-test for a difference in means was conducted to investigate whether defensive players on a football team can bench-press more weight, on average, than
offensive players. The conditions for inference were met, and the test produced a test statistic of t = 1.083 and a p-value of 0.15.
Based on the p-value and a significance level of a = 0.05, which of the following is the correct conclusion?
Submit
Reject the null hypothesis because 0.15 > 0.05. There is not convincing evidence that defensive players can bench-press more weight, on average, than
offensive players.
B
Reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press more weight, on average, than
offensive players
с
Fail to reject the null hypothesis because 0.15 > 0.05. There is not convincing evidence that defensive players can bench-press more weight, on average,
than offensive players,
D
Fail to reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press more weight, on average,
than offensive players
Fail to reject the null hypothesis because 0.15 > 0.05. There is convincing evidence that defensive players can bench-press the same amount of weight,
on average, as offensive players.

Answers

Answer:

Fail to reject the null hypothesis because 0.15>0.05

. There is not convincing evidence that defensive players can bench-press more weight, on average, than offensive players.

Step-by-step explanation:

Since P>a we can not reject the null hypothesis. We cannot conclude the alternative hypothesis in context.

Need Help Due Tomorrow

MUST SHOW WORK!
don’t bother answering if not going to show work

Answers

Step-by-step explanation:

If D8=127

Therefore D4 =D8 (because corrosponding angles (forming 'F')

Therefore, the D4=D1(because vertically opposite angle)

There fore D4+D1

i. e 127+127 =254

The option (A) is the correct one

PLZZ GIVE ME BRAINLIEST TAG

THANK YOU........

Select the correct answer.
There were 800 farmers' markets initially in the USA in 2012. In 2013, the number of farmers' markets was 1.25 times the initial number of farmers' markets. Then, in 2014, the number of farmers' markets was 1.25 times the number of farmers' markets the previous year. If this pattern continues, which of the following graphs represents the number of farmers' markets in the USA over time?

Answers

Answer:

Graph Z or D

Step-by-step explanation:

Starts at 800 and goes up to around 4 and ends

Answer:

its Z

Step-by-step explanation:

Use the GCF and the Distributive Property to find the sum of 30 + 42

Answers

Answer:

72

Step-by-step explanation:

6(5+7)

6(12)

72

GCF is 6

Use the distributive property by factoring out 6, like I did above

Answer:

Use the GCF and distributive property to find the sum of 30 + 66.

Step-by-step explanation:help

Which of the following tables represents a linear function with the same slope as y=2-3x?

Answers

A is the answer to this

Table (C) represents the same slope -3 as the line y = 2 - 3x.

What is slope?

The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.

The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,

m = (y₂ - y₁)/(x₂ - x₁)

The given equation is,

y = 2 - 3x

The slope of the equation m = -3.

To find the slope of the table, take any two points, because given line is straight line. Therefore, slope will be equal for every point.

(A)

Slope m = (5-2)/(1-0) = 3

(B)

Slope m = (8-10)/ 4-2 = -2 / 2 = -1

(C)

Slope m = (7-10)/1-0 = -3.

Hence, slope of table (C) is -3.

To know more about Slope on:

https://brainly.com/question/16941905

#SPJ2

Find the value of the missing base:

Answers

Answer:

25 (with assumptions)

Step-by-step explanation:

ASSUMING ES=SD and FT=TG, then the difference between EF and ST is the same as the difference between ST and DG.  Since ST - EF = 19 - 13 = 6, then DG - ST = 6 or DG - 19 = 6, add 19 to both sides and DG = 25

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