A bird sanctuary initially contains 1500 birds. Each year, 15% of the birds fly away, so the sanctuary is restocked with 60 new birds. Write a recursive rule for the number of birds an of birds at the start of the nth year A1=____. An=____

Answers

Answer 1

Answer:

[tex]A_1 = 1500\\A_n = A_{n-1} - 15\%\cdot A_{n-1} + 60[/tex]

Step-by-step explanation:

We just put the task description into the answer :)

The last line can also be shortened to:

[tex]A_n = 85\%\cdot A_{n-1} + 60[/tex]

or

[tex]A_n = 0.85A_{n-1} + 60[/tex]


Related Questions

Izzati, Ai Ling, Rina and Susan share some stamps. Izzati and Ai Ling take 1/4 and 1/8 of the total number of stamps respectively. After that, Rina takes 7/10 of the remaining stamps. Eventually, all the remaining stamps are taken by Susan. If Susan gets 42 stamps, find the total number of stamps.​

Answers

Answer:

224 stamps

Step-by-step explanation:

Let total number of stamps = x

1/4 + 1/8 = (2 + 1) /8 = 3/8

3/8 of x = 3x/8

Remaining stamp = x - 3x/8 = (8x-3x)/8 = 5x/8

Rina = 7/10 of 5x /8

Rina = 7/10 * 5x /8 = 35x / 80

Remaining stamps = 5x/8 - 35x/80

Remaining stamps = (50x - 35x)/80 = 15x /80

15x / 80 = 42

15x = 80 * 42

15x = 3360

x = 3360 / 15

x = 224 stamps

Different parts of the circulatory system are adapted for different functions. A blood vessel that is very narrow and has thin walls is Most Likely
specialized for
storing blood until it is needed
2
O passing materials in blood to cells
o carrying blood over long distances
K
withstanding high blood pressures

Answers

Answer: I believe the answer is O passing materials in blood to cells

Step-by-step explanation:

The thin walls of the capillaries allow oxygen and nutrients to pass from the blood into tissues and allow waste products to pass from tissues into the blood.

More info: Capillaries

Capillaries - Enable the actual exchange of water and chemicals between the blood and the tissues. They are the smallest and thinnest of the blood vessels in the body and also the most common. Capillaries connect to arterioles on one end and venules on the other.

The thin walls of the circulatory system allow oxygen and nutrients to pass from the blood into tissues.

What are the Capillaries?

Capillaries allow for the movement of water and chemicals between blood and tissues. They are the narrowest and thinnest blood vessels in the body, as well as the most numerous. Capillaries link on one end to arteries and veins and on the other to venules.

The capillaries' thin walls enable oxygen and nutrients to enter from the blood into the tissues and harmful byproducts to pass from the tissue to the blood.

They are the most limited and thinnest blood vessels in the body, as well as the most numerous.

Therefore, the thin walls of the circulatory system allow oxygen and nutrients to pass from the blood into tissues.

To learn more about the Capillaries click here:

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I NEED HELP!!
I'll give you 50 points and a brainlist if you figure this out, all you have to do is to Solve the following multi-step equation, and write it out

Answers

Answer:

okay, but what is the equation?

Answer:

Alright Ima need the question

Step-by-step explanation:

HELPPPPP The graph (shown in red) below shows the solution set of which inequality?HELPPP ME PLSSS ASAPP

Answers

hey yall. im going to say its A.
my reasoning is the chart has a closed circle and the only answer that has a sign that matches it is A because all the other ones are not equal to!!!!

The systems in the previous two interactions are the same. Describe the relationship between the solution in the first interaction and the coordinates of the intersection of the lines in the second interaction.

Answers

Answer:

The solution to the system of equations is the same as the intersection coordinates of the two lines representing the equations in the system.

Step-by-step explanation:

PLATO

Answer:  The solution to the system of equations is the same as the intersection coordinates of the two lines representing the equations in the system.

For your second question

1. There  ARE TWO POINTS where the line for the equation y=2x+2 intersects the parabola.

2. There  IS ONE POINT where the line for the equation y=1 intersects the parabola.

3. There  IS NO POINT where the line for the equation y=2x-4 intersects the parabola.

Does anyone know how to do 3 & 4

Answers

Answer:

3. HGK

4. k=17

Step-by-step explanation:

A gym owner has some yellow weights and some red weights. The yellow weights are 6 kilograms each, and the red weights are 8 kilograms each. The owner has 4 weights, and they weigh 28 kilograms in all. How many of each color weight does he have?

Answers

Answer:

The store owner has two of each color weights

Step-by-step explanation:

PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

on the fordt one its the sake imagine but reflected on a differemt angle and different on the dots is its building uo mord on second one

please help with this question!?!?

Answers

Answer:

-2a

Step-by-step explanation:

a - 6a becomes -5a, add 3a becomes -2a. The expression equivalent to a - 6a + 3a is -2a.

Answer:

-2a

Step-by-step explanation:

I think I think I think

Find the measure of \angle G∠G. Round your answer to the nearest tenth (one decimal place).

Answers

Hi there!

[tex]\large\boxed{G \approx 55.44^{o}}[/tex]

To solve, we can use right triangle trigonometry.

Recall that:

sin = O/H, cos = A/H, tan = O/A.

For angle G, HF is its OPPOSITE side, and FG is the hypotenuse.

Therefore, we must use sine to evaluate:

sinG = 14 / 17

sin⁻¹ (14/17) = ∠G. Evaluate using a calculator.

∠G ≈ 55.44°

Please help me with these two questions I am having trouble

Answers

Answer:

1. 8820.26 yds^2

2. 101.265 m^2

Step-by-step explanation:

For both problems you need to use the equation π*r^2 which is the area of a circle and where r is the radius of the circle. The radius is also equal to 1/2 the diameter so using this we can figure out the are of the first circle

For the second problem we have to find the area of the circle with and without the sidewalk around it and subtract them from each other

#9 Please help me with this question

Answers

Answer:

Now I might be wrong but I think it is A

Step-by-step explanation:

Select the correct answer. When two parallel lines are cut by a transversal, angles A and B are alternate interior angles that each measure 105°. What is the measure of each of the other alternate interior angles?

Answers

Answer:

105°

Step-by-step explanation:

For two parallel lines cut by a transversal, the alternate interior angles of such line geometry will be equal. Since m<A and m<A are alternate interior angles, hence m<A = m<B

Since one of the angle measures 105degrees, the other angle will also measure 105 degrees, This shows that;

m<A = m<B = 105°

How do I find the answer

Answers

Answer:

19-13=6+1=7-14=-7+4=-3

Step-by-step explanation:

Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teach me it because i need to show my work, thank you

Answers

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

For example, for one year:

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

If x=6 and y=−2, evaluate the following expression:3x+4y​

Answers

7

Step-by-step explanation:

3(5)+4(-2)

15 +-8

=7

hope this helped

Answer:

10

How did i get the answer?

3x +4y

3(6) + 4 (-2)

18 + (-8)

10

12,434.4 round nearest whole number

Answers

Answer:

12,434

Step-by-step explanation:

since after the decimal point the number ranges 0-4 it will nullify but if 5-9 it will add 1 to the number before the point

The equations y = (- 16t - 2)(t - 1) and y = - 16t ^ 2 + 14t + 2 represent the height in feet of a beach ball thrown by a child as a function of time, tin seconds .

Answers

Answer:

0.4375secs

Step-by-step explanation:

Given the height of the beach ball in feet expressed as;

y = -16t^2+14t+2 as the height that represents the height of the ball, we can look for the time taken by the ball to reach its maximum height

At the max height, the velocity is zero i.e dt/dt  = 0

dy/dt = -32t + 14

0 = -32t + 14

32t = 14

t = 14/32

t = 0.4375secs

Hence it took the ball 0.4375secs to reach its maximum height

3. Janice raked leaves for 4 hours and
earned $30. What is Janice's pay rate
for raking leaves?
A $6.75 per hour
B $7.25 per hour
c $7.50 per hour
D $7.75 per hour
Answer quick plzzz

Answers

answer is c 7.50 per hour

Answer:

£7.50 per hour

answer: c

Step-by-step explanation:

hope this helps!

have a good day :)

Help me with Math
( graphs )
PLEASEEE​

Answers

Ok try to look on you tube it can help a lot in this

Which of the following statements would be supported by both a communist and a utopian socialist?
A. A classless society can be brought about in Europe without a violent revolution.
B. The gains of the industrial revolution should be shared by all members of society. C. Governments have no right to restrict the actions of businesses or customers.
D. A government should restrict the number of imports and exports to protect its gold reserves.

Answers

Answer:

A

Step-by-step explanation:

:)

Answer:

B. The gains of the industrial revolution should be shared by all members of society.

Step-by-step explanation:

Communists were opposed to the power that the wealthy bourgeoisie had, who controlled the means of production.

Instead, Communists wanted the proletariat (working class) to control the means of production, in order to create a more even distribution of wealth and power in society.

So, they supported making the Industrial Revolution's benefits shared by society.

Utopian socialists also would support this, as they also supported public ownership of the means of production.

The correct answer is B.

someone help me!!!Please no links

Answers

Answer:

I will answer this for you and the links are so annyoing fr

Step-by-step explanation:

give me a couple of minutes to figure it out then I will post the answer!

Which angle type is NOT shown in the diagram?

A) acute
B) obtuse
C) right
D) straight

Answers

Need to see the diagram to find the answer

Thannnnkkk youuuuuuuuu of youuuu helpp

Answers

The answer to this problem is D. Hope that helps.

Find the perimeter and area of a 30-60-90 right triangle with a hypotenuse of 8 m

Answers

the perimeter and area is the hypotenuse multiplied

Find the volume of the solid shown in the figure

Answers

Answer:

The answer to the question is 603.186

What is the Area of the Trapezoid GHIK?

Answers

Answer:

The area of the trapezoid is 56 sq ft

Which solid of revolution is produced by rotating the shape below 360° about the given axis?

Answers

Answer: Choice A

Explanation:

When we rotate a rectangle around an axis of symmetry, we end up with a cylinder. Think of a revolving door or a turbine. The flat door moves through 3D space to produce or carve out a 3D cylinder.

This figure is composed of two rectangles, so we'll end up with two cylinders. They will both share the same center, so we'll have a sideways two-layer wedding cake structure when everything is said and done. This points to choice A as the final answer.

The solid of revolution, which is produced by rotating the shape below 360° about the provided axis, is the first one. Option A is correct.

What is solid of revolution?

Solid of revolution is the method to obtain the solid figure by the plane. When a plane is revolving about an axis, a solid figure is obtained whose shape is depending on the shape of the plane.

In the problem,

A plane is given which is in the elbow shape. The axis around which it has to revolve is horizontal.The plane is kept at this axis from the base of it.

The solid generated with this plane is full rotation, and it will look like the stand of the pole.

Thus, the solid of revolution, which is produced by rotating the shape below 360° about the provided axis, is the first one. Option A is correct.

Learn more about the solid of revolution here;

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Find the perimeter RST. Round answer to the nearest tenth
Show all the work

Answers

Answer:

35.1 units

Step-by-step explanation:

Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:

RS²=3²+6²

RS=[tex]\sqrt{45}[/tex]≈6.7 units

Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:

RT²=9²+12²

RT=[tex]\sqrt{225}[/tex] = 15 units

Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:

TS²=12²+6²

TS=[tex]\sqrt{180}[/tex]≈13.4 units

Perimeter=RS+RT+TS

=6.7+15+13.4

=35.1 units

NEED HELP i dont know how to do this and i need to turn in soon

Answers

Answer:

f(-1) = 0 and f(4) = 0

Step-by-step explanation:

look at graph to see what point(s) is/are intersecting the y-axis, then use the y-value of the ordered pair

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