A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is given by the following exponential
function.
P(t) = 400(1.22)
Find the initial population size.
Does the function represent growth or decay?
O growth O decay
By what percent does the population size change each year?

Answers

Answer 1

Answer:

Growth22%

Step-by-step explanation:

Given function:

[tex]P(t) = 400(1.22)^{t}[/tex]

Initial population size is when t = 0

P(0) = 400(1.22)⁰ = 400(1) = 400

The multiple of 1.22 is applied every year, so the ratio of change is:

1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

Answer 2

The function is

y=400(1.22)^t

As per y=ab^x

1.22 is the rate of change

Its growth as it's greater than 1

The percentage increase is

1.22-10.2222%

Related Questions

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Answers

Answer:

thanks for freepoints

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82 is 66 percent of what?

Answers

Answer: 80.49.

Can u give me brainliest

Step-by-step explanation:

124.242424242


it just is the answer

2y + 4 - xy - y + x² + 6y - 3x²=

Answers

Answer:

7y-2x^2+4+xy

Step-by-step explanation:

What is the surface area of a cone with a radius of 6 meters and a slant height of 8 meters? Round to the nearest tenth. *
10 points
263.8 m2
904.0 m2
452.0 m2
1,055.2 m2

Answers

Answer: 263.8m2

Step-by-step explanation:

Formula: S.A=Pi x radius2 + Pi x radius x slant height

A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rational number represents his position relative to sea level? Show your work. A. 168 feet B. 2.8 feet C. -2.8 feet D. -168 feet

Answers

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = [tex]\dfrac{1}{2}[/tex] hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

[tex]\dfrac{1}{2}[/tex] hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

                                                    = 168 feet

The diver dove 168 feet in [tex]\dfrac{1}{2}[/tex] hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is [tex]-168[/tex] feet.

Therefore, the correct option is D.

find a line that is perpendicular to y=-2x+7 and passes through a point of (1,-1)

Answers

Answer:

y=1/2x-3/2

Step-by-step explanation:

m1=-2

m1m2=-1

-2m2=-1

m2=1/2

-1=1/2(1)+b

b=-3/2

y=1/2x-3/2

Compare. Fill in the blank using <,>,or =

16. -2/3_____-1

17. -1 3/4_____1 5/6

18. -2/7______0​

Answers

16. <
17.>
17. =
I hope this right

plz help me I only have 5 minutes left winner gets brainliest

Answers

Answer is number three

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

1800

Step-by-step explanation:

that’s a fast typer that means 1 word a second!

anyways,

60 x 30 = 1800

If a driver takes 6 hours to get to the town market which is 336 km away from his house, what is his average speed?

Answers

Answer:

[tex]56\ \text{km/h}[/tex]

Step-by-step explanation:

[tex]t[/tex] = Time taken = [tex]6\ \text{hours}[/tex]

[tex]d[/tex] = Distance = [tex]336\ \text{km}[/tex]

Average speed is given by

[tex]s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}[/tex]

[tex]\Rightarrow s=\dfrac{336}{6}[/tex]

[tex]\Rightarrow s=56\ \text{km/h}[/tex]

The average speed of the driver is [tex]56\ \text{km/h}[/tex].

solve the equation 4y-1.9=6.3

Answers

I’ve attached my work...
Hope this helps!
Y = 2.05 is the answer

a stadium shaped like a hemisphere with a radius of 150 feet. last month the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. what was the total cost for utilities last month​

Answers

The formula for volume of a hemisphere is: V = 2/3 * π * r³

Volume = 2/3 x 3.14 x 150^3

Volume = 7,065,000 cubic feet.

Multiply the cost per cubic foot by the volume:

7,065,000 x 0.05 = 353,250

The total cost was $353,250

I went to the grocery store and my subtotal was $78.00. There is a 4.5% sales tax.How much is my total grocery bill including tax

Answers

i think 81.51 probably

Answer:

81.51

Step-by-step explanation:

So first you will want to take the percentage of the $78.00.

What we do is multiply 78.00 by 0.045

which is 4.5%

You then get $3.51

Add that to the $78.00:

78.00 + 3.51

= $81.51

Find the slope for the line with points (2,4) and (3,6)

Answers

Let m = slope

m = (6 - 4)/(3 - 2)

m = 2/1

m = 2

The slope is 2.

Answer:

-2/1 is the slope for the question

Algebraic expressions. c^2+d^2​

Answers

Answer:

what are you asking?

Step-by-step explanation:

Which of the following expressions are equivalent?
A. –3(3x + 5) and –9x + 5
B. 7(6x – 1) and 42x – 7
C. –6(4x – 3) and –6x
D. 5(2x + 3y) and 25xy

Answers

Answer:

B. 7(6x – 1) and 42x – 7 is equivalent

Step-by-step explanation:

A. –3(3x + 5) and –9x + 5

=–3(3x + 5)=-9x-15 not equivalent

B. 7(6x – 1) and 42x – 7

7(6x – 1)=42x-7 equivalent

C. –6(4x – 3) and –6x

=–6(4x – 3)=-24+18 not equivalent

D. 5(2x + 3y) and 25xy

=5(2x + 3y)=10x+15y not equivalent.

Sofia drew a scale drawing of a theater. The stage, which is 48 feet long in real life, is 16
inches long in the drawing. What scale did Sofia use?
1 inch:
feet

Answers

First, you multiply 4 by 1. Then that's your answer, 4.  I hope it helped!

Find the value of X......

Answers

Answer:

720 = x +133+138+148+95+105

x = 101

pleae answer this fast asap

Answers

Answer:

I think its (2, 1) .

Step-by-step explanation:

the 2 represents the x axis

the 1 represents the y axis

What is parallel to what?

Answers

Answer:

LS is parallel to MN

Step-by-step explanation:

LS and MN are the only lines to have the parallel symbol (the 2 arrows)

YALL HELP!!! it’s about reflection across the x axis

Answers

It might be A but I’m not totally sure

Which pair of angles are vertical angles

Answers

Answer:

angles J and N

Step-by-step explanation:

vertical angles are congruent angles that are vertically across from each other

angle j and angle n are both right angles and they are both vertically across from each other therefore A is your answer

Order least to greatest
4 3/7, 2 5/8, 2.25, 3.75

Order greatest to least
5.21, 5 1/2, 4.6, 3 3/5

Answers

Answer #1

2.25,2 5/8, 3.75, 4 3/7

Answer #2

5 1/2, 5.21, 4.6, 3 3/5

What is the probability of picking a purple marble and rolling an odd number?

Answers

5/11 for the marble and ½ for dice

Answer:

5/11

Step-by-step explanation:

I hope this helps a bit.

please help me with the question​

Answers

Answer:

x = 12

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle.

Then the product of the external part of the secant and the entire secant is equal to the square of the measure of the tangent, that is

3x = 6² = 36 ( divide both sides by 3 )

x = 12

Based on a sample survey, a tutoring company claims
that 90% of their students pass their classes. Out of 300 students, how
many would you predict will pass?

Answers

Answer:

270

multiply the number by the percentage-

300 x .90= 270 students

Answer:
Out of the 300, I predict 270 will pass.

Explanation:
You just have to multiply 90% by 300 and you’ll get 270.

Semih Bey, her katı eşit yükseklikte olan bir binanın -2. katından asansore binerek 5. kata çıkıyor Semih Bey toplamda3150 santimetre yüksemiştir buna göre binanın her bir katının yükseklığinin kaç santimetre olduğunu bılunuz.​

Answers

-2 ile 5 arasında 7 kat vardır
3150:7=450cm

inş anlamışsındır kolay gelsin :)

Which is the graph of x2/9-y2/4=1

Answers

Answer:

Step-by-step explanation:

Mr. Johnson sells erasers for $3 each. He sold 96 erasers last week
and he sold 204 erasers this week.

Answers

Answer:

$900

Step-by-step explanation:

He makes $288 the first week and $612 the second week the total amount of money he makes is $900

Answer:

96*3= $288 from last week

204*3= $612 from this week

The total is $900 from both weeks

Step-by-step explanation:

Hope this is what you were asking!

Write the exponential expression
26 squared

Answers

Answer:

26²

Step-by-step explanation:

26 x 26 = 676

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