Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.

Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)

Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)

Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)

Answers

Answer 1

There would be 173,535 lionfish after 6 years.

Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:

A) 8000 x 1.67 ^ n = f  B) 8000 x 1.67 ^ 6 = X 8000 x 21.691961596369 = X 173,535.692770952 = X  C) (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f

Therefore, there would be 173,535 lionfish after 6 years.

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Related Questions

A parachutist's rate during a free fall reaches 165 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall
during 20 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.

Answers

Assuming that:

1
m
=
3.3
f
t
1m=3.3ft

We can make the conversion from feet per second to meters per second with this procedure:

(
165

f
t
s
)
(
1

m
3.3

f
t
)
=
50

m
s
(165
s
ft

)(
3.3 ft
1 m

)=50
s
m



Let
x
x be the amount of meters the parachutist will fall during 15 seconds of free fall

Having that in 1 second the parachutist falls 50 meters, we can calculate
x
x :

x
=
(
50

m
s
)
(
15

s
)

x=(50
s
m

)(15 s)​


x=750 m

Mike Jones bought a new split-level home for $150,000 with 20% down. He decided to use Victory Bank for his mortgage. They were offering for 25-year mortgages. Provide Mike with an amortization schedule for two periods. (Use Table 15.1(b)). (Do not round intermediate calculations. Round your answers to the nearest cent.) Payment number Portion to— Balance of loan Interest Principal outstanding 1 2

Answers

Given:-

Value of Home = $150000

Down payment = 20% of $150000 = $30000

Loan Amount = $150000 - $30000 = $120000

Interest on Loan = 13.3/4% or 13.75%

Duration of Loan = 25Year

Calculation:-

Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%

No. of months payment required = 25 years x 12 Months = 300 Months

To Calculated the monthly mortgage payment:-

The formula is M = P*i*(1 + i)^n/(1+i)^n – 1

Where M is monthly payment of Mortgage

P = principal amount of Loan = $120000

i = interest per month = 0.011458%

n=duration of loan in months = 300 months

When we apply the formula:

M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]

= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]

=$120000*[0.011458*30.50697/30.5067-1]

=$120000*[0.011458*30.50697/29.50697]

=$120000*[0.349559/29.50697]

=$120000*0.011847 =$1421.60

So,Morgage payment Per month $1421.60

Period 1

Interest for 1st period = $120000 x0. 011458 = $1374.96

Pricipal Amount paid = $1421.60 -$1374.96 =$46.64

Balance in Principal amount = $120000-$46.64 =$119953.36

Period 2

Interest for 1st period = $119953.36 x0. 011458 =$1374.43

Pricipal Amount paid = $1421.60 -$1374.43 =$47.17

Balance in Principal amount = $119953.36 - $47.17 =$119906.19

how important is the 3 candle of advent?​

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

The third candle which is pink or rose, represents Gaudette Sunday and the joy that the birth of Christ brought to the world. Traditionally, on Gaudette Sunday one takes a break from Advent fasting to experience the joy of the day.

Pls help I’ll brainlest ASAP

Answers

Answer:

Slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

rise over run = slope

3/5

Explanation-Rise over run= Rise 3 on the number line then run right 5

6w+8+4w-3=_w
What’s the awsner

Answers

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

A 2ft-by-2ft square is divided into smaller squares and portions are shaded. What is the area of the shaded portion?

Answers

Answer:

1.5 ft^2

Step-by-step explanation:

Since the length is divided into 4 parts,

Length of a small square = 2/4

= 0.5 ft

Hence,

Area of 1 small square = (0.5)(0.5)

= 0.25 ft^2

Area of shaded portion = Area of 6 small squares

= 6(0.25)

= 1.5 ft^2

Step-by-step explanation:

The area of the shaded cubes is 3 square feet.

What is a square?

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given side²

We have,

Since the 2 ft-by-2 ft square is divided into 16 smaller squares, each smaller square has an area of:

(2/4)ft = 0.5ft.

Now,

Out of the 16 smaller squares, 6 smaller cubes are shaded.

Since each smaller cube occupies the space of one of the smaller squares, the total area of the shaded cubes is 6 times the area of one of the smaller squares.

The area of the shaded cubes is:

6 x 0.5ft² = 3ft²

Thus,

The area of the shaded cubes is 3 square feet.

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[tex] \frac{3}{9} = \frac{?}{3} [/tex]


What's the missing number ​

Answers

3/9 = □/3

Do cross multiplication.

3/9 = □/3

3 × 3 = 9 × □

9 = 9 × □

9/9 = □

1 = □

◇ The missing number (□) is 1.

______

Hope it helps ⚜

Answer:

The missing number is 1.

Step-by-step explanation:

[tex]\frac{3}{9} = \frac{x}{3}[/tex]Now, in this equation, we can see that 3/9 needs to be simplified. Let's simplify it.=> [tex]\frac{3}{9} = \frac{1}{3}[/tex]Our new equation is: [tex]\frac{1}{3} = \frac{x}{3}[/tex] => [tex]x = 1[/tex]

Conclusion:

Therefore, the missing number is 1.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Find the slope of an equation f(x)=-3sqrt(x) at the point (9,-9)

Answers

Answer:

Slope is [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=-3\sqrt{x}[/tex]

Find the derivative using the product rule:

[tex]f'(x)=\frac{d}{dx}(-3)*\sqrt{x}+-3*\frac{d}{dx}\sqrt{x}[/tex]

[tex]f'(x)=-3*\frac{1}{2\sqrt{x}}[/tex]

[tex]f'(x)=\frac{-3}{2\sqrt{x}}[/tex]

Plug in coordinates to find slope at that point:

[tex]f'(9)=\frac{-3}{2\sqrt{9}}=\frac{-3}{2(3)}=\frac{-3}{6}=-\frac{1}{2}[/tex]

Therefore, the slope of the equation at the point (9,-9) is [tex]-\frac{1}{2}[/tex].

Answer:

Step-by-step explanation:

f(x) = -3√x

f'(x) = -1.5/√x

f'(x) = -1.5/√9

f'(x) = -1.5/3

f'(x) = -0.5

458 divided by 31 using compatible numbers

Answers

14.77

458 / 31 = 14.77

It is actually a rational answer meaning it continues to go in terms (and doesn't stop) so I only included the smallest decimal degits in the answer.

Answer: 14

Step-by-step explanation:

 0 1 4

 3 1 ⟌ 4 5 8

     - 0    

       4 5  

     - 3 1  

       1 4 8

     - 1 2 4

         2 4

Need help solving homework

Answers

3 + 2 = 1 + 4
2 + 15 = 10 + 7
8 + 9 = 19 - 2
12 - 7 = 14 - 9


Hope this helped!
8+9 and 10+7 are both 17
12-7 and 3+2 are both 5
19-2 and 2+15 are both 17
14-9 and 1+4 are both 5

8+9=10+7=19-2=2+15

12-7=3+2=14-9=1+4

What is 5/8 divided by 1/4

Answers

Answer:

the answer should be 2.5

Step-by-step explanation:

when divided 5/8 u get 0.625 and when u divided 1/4 u get 0.25 and u divided both answer u get 2.5

Question
The width of the rectangle is 40% of its length. What is the area of the rectangle?
The length is 20 feet. What is the anwser in feet squared

Answers

Answer:

  160 ft²

Step-by-step explanation:

The width is 40% of the length, so is ...

  0.40 × 20 ft = 8 ft

The area is the product of length and width:

  A = LW

  A = (20 ft)(8 ft) = 160 ft²

How do I find the degree measure?​

Answers

Answer:

The Degree Measure of the Angle = Radian x (180/)

what is the slope of the line of (4,6) and (-16,-18)

Answers

Hi!

To solve this, we simply use the equation shown in the image below:

What this means is the change in y over the change in x.

We use the two points and plug them in the equation like so:

[tex]\frac{6 - - 18}{4--16} =\frac{6+18}{4+16} =\frac{24}{20} =\frac{6}{5}[/tex]

Therefore your answer is [tex]\frac{6}{5}[/tex].

Hope this helps! Have a fantastic day! :D

Let me know if you need any other help.

The sum of the measures of the angles in a triangle is 1800. If two of the angles are 72 and 76 degrees, what is the missing angle measure?

Answers

Answer:

32

Step-by-step explanation:

72 + 76 = 148

180 - 148 = 32

I hope this helps!!

HELP ME PLEASEEEEEEE I WILL GIVE POINTS AND BRAINLIEST

Answers

The answer is < A hope this helps

Which expression is equivalent to \sqrt [ 3 ] { 32 x ^ { 8 } y ^ { 10 } } ?​

Answers

Answer:3x⁵

Step-by-step explanation: is equivalent to 3x⁵

PLEQSE ANSWER ASAP!!!!!!!!!!!!!!!!

Answers

Answer: (a) identity

Step-by-step explanation:

Anything multiplied by 1 will be considered an equation that is identity property.

Emple
Six pounds of grapefruit cost $3. What is the cost per pound?
You can use a double number line to help you find ate and
unitate Start with the ratio you know: 53 for 6 pounds
Divide both 53 and 6 pounds by 3 to get 1 for 2 pounds
Then divide 51 and 2 pounds by 2 to find the cost per
pound, which is so. So for 1 pound.
1
Notice that you can also divide 3 by 6 to get the cost per
pound directly
In the example, how much would it cost to buy 3.4 and
5 pounds of grapefruit? Explain how you found your
answers

Answers

Answer:

0.50

Step-by-step explanation:

Find the monthly house payments necessary to amortize a 10.8% loan of $125,800 over 20 years.
.
The payment size is $

Answers

Answer:

13,586400000000001 per time  

Step-by-step explanation:

HELP PLEASE I'll give Brainly

Answers

Answer:

A is a 2 in the tenth place of the difference

The model represents an equation. What value of x makes the equation true?
A) -3
B) -9
C) 3
D) 9

Answers

Ahaha it’s b so because………….. UwU so umm what did you say again?

write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3.

Answers

Answer:

y = x/3 - 6

Step-by-step explanation:

yeah-ya......... right?

Which equation results from adding the equations in this system?

-8x+8y=8
3x-8y=-18

Answers

Answer:

-5x=-10

Step-by-step explanation:

Adding both equations will result in this

What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?

Answers

The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:

The two angles must be equal (∠ABC = ∠MNO).The radius of the two triangles must be equal.The radius from center N must be equal to radius BA and BC.The radius of angle MNO is NO and it must equal BA and BC

Thus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

Learn more about construction of congruent angles here: https://brainly.com/question/20097419

GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.

Answers

Answer:

y-4=4(x-1)

Step-by-step explanation:

Write the equation in slop-intercept form and get the slope and point from the equation

y=4x

The slope of the equation = m = 4

when x=1

y=4(1)

y=4

we get point from the equation which is (1,4)

Now we write the equation in point-slope form

point-slope formula = y-y₁=m(x-x₁)

*plot the the point we get and the slope in the formula above

= y-4=4(x-1)

An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

Given that, the perimeter of a square is four times the length of one side.

What is the point slope form?

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y1) = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The equation is y=4x

If the side length of a square is 1 centimeter, then y=4

So, the coordinate point is (1, 4)

The slope of an equation y=4x is 4

Put (x1, y1)=(1, 4) and m=4 in slope intercept form

That is, slope intercept form is y-4=4(x-1)

Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

To learn more about the slope intercept form visit:

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Pls help and show ur work ASAP I’ll add extra points

Answers

Answer:

Slope: 7/5 , Y-int: 1/5

Step-by-step explanation:

To find the slope, lets use the points (-3,-4) and (2,3)

The slope formula is (y2-y1)/(x2-x1) so we will plug in the numbers.

(3-(-4))/(2-(-3))=7/5. 7/5 is the slope (you can also do rise over run)

We find the y-int in many ways but i will show two.

We can make an equation in point-slope form. The formula is: y-y1=m(x-x1) and we use the point (-3,-4).

y-(-4)=7/5(x-(-3))

y+4=7/5x+21/5 (then move the 4 to the other side)

y=7/5x+1/5

The 1/5 is our y-int since we now have it in slope intercept form!

The other method we can use is putting it into slope intercept form first and using (-3,-4) to find the missing variable.

Slope intercept form is y=mx+b, let m be slope, b is y int, and (x,y) is our point

-4=(7/5)(-3)+b

-4=-21/5+b (move -15/7 to other side)

1/5=b !

we get the same answer I hope this helps sorry its long

For lunch, I ate a toasted cheese sandwich and it has 450 calories and 16g protein with some baked potato fries and it has 230 calories and 3g protein. How much protein and calories did I eat in all?

Answers

Answer:

Give the person above me brainliest

Step-by-step explanation:


Solve for x: 2x + 12= 18 (5 points)

Answers

Answer:

X = 3

Step-by-step explanation:

2x = 12 = 18

x +6 = 9

x = 9-6

x = 3

Hope its right <3 Like if it helped

Luke portrays this time in Jesus’ ministry as very successful, but he starts giving hints of things to come. For instance, after the healing of the boy, Jesus seems to randomly say that he is going to be betrayed. Why would Jesus have picked that time to say such a thing? I think Jesus picked this time to warn the disciples about what was going to happen.

Answers

Perhaps he had healed the boy the town’s people would think that he didn’t heal him,so they could do something and or try to hurt Jesus.
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