An endangered species has only 450 animals remaining in the wild. The population decreases by 10% each year. Write an equation to describe the number of animals left after x years.​

Answers

Answer 1

Answer:

A = 450(1.1)^x

Step-by-step explanation:

Since the animal decreases by 10% each year, we will use the compound interest formula to find the required equation

A = P(1+r)^t

P is the number of animals = 450

r is the rate = 10% = 0.1

t is the time = x

Substitute into the formula;

A = 450(1+0.1)^x

A = 450(1.1)^x

This gives the required expression


Related Questions

9. In the diagram below, Angle A is 50 degrees. What is angle B?

Answers

Answer:

130

Step-by-step explanation:

Angle B = 180 - Angle A

180 - 50 = 130

Answer:

The answer is 130 degrees.

Step-by-step explanation:

A+B should be 180, so with A being 50; B has to be 130.

Carry" it needed. Use the (27) 5 0 X 21​

Answers

Answer:

I belive the answer will be 28,350

Madison, Natalie, Isabella and Rebecca go shopping. Madison spent 4/5 of her money, Natalie spends 75% of her money,Isabella spends 0.68 of her money and Rebecca spends 17/20 of her money. Who has the largest percentage of their money left?

Answers

Answer:

you need common denominater so 10/10 - 9/10 =1/10 thats how much of her money she used.

Step-by-step explanation:

...........................

Answers

Answer:

It’s just a black screen I cant see the picture?

Answer:

1.

It has two solution because it is in quadratic form.

2.

(x-4)²-28=8

x²-8x+16-28-8=0

x²-8x-20=0

Doing middle term factorization

x²-(10-2)x-20=0

x²-10x+2x-20=0

x(x-10)+2(x-10)

(x-10)(x+2)=0

either

x=10

or

x=-2

:. x= 10 or -2

3.

2x²-5x-5=0

Comparing above equation with ax²+bx +c

we get

a=2

b=-5

c=-5

quadratic equation is

[tex]x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

Substituting value

[tex]x = \frac{ 5 ± \sqrt{ {-5}^{2} - 4×2×-5} }{2×-5} [/tex]

-10x=5±[tex] \sqrt{ {25+ 40}}[/tex]

taking + ve

-10x=5+[tex] \sqrt{ {65}}[/tex]

x=-½-[tex] \frac {\sqrt{ {65}}}{10}[/tex]

taking -ve

x=-½+[tex] \frac {\sqrt{ {65}}}{10}[/tex]

The cumulative frequency table shows the heights (inches) of every student in Mrs. Torjman’s math class. What number should be written in the red box?

Answers

Answer:

The number 28 should be written in the red box.

can someone please help me lol



thank u!

Answers

Answer:

The Slope Equation = y2 -y1 over X2 - X1

Step-by-step explanation:

1.) Pick every graph

2.) Pick any 2 point in the graph

3.) do the slope equation

4.) the answers must be equal  

74.55 divided by 5
I’m not sure of the answer I need some help

Answers

Answer:

14.91

Step-by-step explanation:

Have a good day :)

Answer:

The answer is 14.91

Step-by-step explanation:

To find the answer we must first see how many times 5 can go into 74.55.  Since 5 x 14.91 = 74.55, then it means that our answer is 14.91.  

It took Andrea 5.4 hours to drive to her mothers house on Sunday morning. On her return trip it took her 6 hours. Her average speed on Monday was 3 mph slower than on Sunday. What was her average speed on Monday?

Answers

Answer:

The average speed on Monday is 27mph

Step-by-step explanation:

Given

Let:

[tex]1\to Sunday[/tex]

[tex]2\to Monday[/tex]

So:

[tex]t_1 = 5.4hr[/tex]

[tex]t_2 = 6hr[/tex]

[tex]s_2 = s_1 - 3[/tex] ---- average speed slower on Monday than Tuesday

Required

The average speed on Monday

Average speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]s = \frac{d}{t}[/tex]

Make d the subject

[tex]d = st[/tex]

On Sunday, we have:

[tex]d = s_1t_1[/tex]

[tex]d = s_1 * 5.4[/tex]

On Monday, we have:

[tex]d = s_2t_2[/tex]

[tex]d = s_2 * 6[/tex]

The distance traveled is constant;

So:

[tex]s_1 * 5.4 = s_2 * 6[/tex]

Make s1 the subject in: [tex]s_2 = s_1 - 3[/tex]

[tex]s_1=3+s_2[/tex]

So, we have:

[tex](3 + s_2) * 5.4 = s_2 * 6[/tex]

Open bracket

[tex]16.2 + 5.4s_2 = 6s_2[/tex]

Collect like terms

[tex]6s_2 - 5.4s_2 = 16.2[/tex]

[tex]0.6s_2 = 16.2[/tex]

Solve for s_2

[tex]s_2 = 16.2/0.6[/tex]

[tex]s_2 = 27[/tex]

The average speed on Monday is 27mph

Solve the equation for x

Answers

Answer:

B.   x = -4

Step-by-step explanation:

- 7x - 35 = -7

add 35 to both sides

-7x = 28

Divde both sides by -7

x = -4

Answer: X = -4

Step-by-step explanation:

-7x - 35 = -7

-7x = -7 + 35

-7x = 28

x = -4

Help me with the math

Answers

Answer:

See below

Step-by-step explanation:

[tex] m\angle 1 = 180\degree - (90+39)\degree = 51\degree [/tex]

[tex] m\angle 2= 90\degree -51\degree =39\degree [/tex]

[tex] m\angle 3= 90\degree[/tex]

[tex] m\angle 4 = 180\degree - (90+39)\degree = 51\degree [/tex]

[tex] m\angle 5 = 180\degree - (129+34)\degree = 17\degree [/tex]

[tex] m\angle 6 = 90\degree +39\degree = 129\degree [/tex]

Darla washed 5/9 of the windows on a building, and Cindy washed 1/9 of them. How much greater was Darla's fraction of the windows than Cindy's

Answers

Answer:Darla's fraction of the windows was 4/9 greater than Cindy's.

Step-by-step explanation:

Fraction of the window washed by Darla =5/9

Fraction of the window washed by Cindy=1/9

To find How much greater  Darla's fraction of the windows was than Cindy's, we subtract ,

5/9-1/9=4/9

Thetrefore, Darla's fraction of the windows was 4/9 greater than Cindy's.

Answer:

4/9

Step-by-step explanation:

Need help please!!!!

Answers

Answer:15

Step-by-step explanation:

The students in Mabel's class got to choose between pizza and burgers for the celebration on the last day of school. 12 students picked the pizza. If there are 40 students in all in Mabel's class, what percentage of the students picked the pizza?

Answers

Answer:

30%

Step-by-step explanation:

The percentage of something can be calculated by dividing that number by the total amount. In this scenario, you divide 12 by 40

12/40 = 0.3

Or, you could do it the way without doing the math and simplifying to make it easier

12/40 = 6/20 = 3/10 = 0.3 = 30%

Which expression gives the length of AB If the circumference of the circle is
38 cm?

Answers

Answer:

A   145/360 * 38

Step-by-step explanation:

four less than the sum of a number, x and nine is 35​

Answers

Step-by-step explanation:

(x+9)-4=35x+9-4=35x=35-5x=30

,stay safe healthy and happy..

What is the answer to: 8+(n-4)

Answers

4+n symplify the equation 8+(n-4) and you will get 4+n

3x+5(2+x)=4x-7 help me out here?

Answers

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

[Distributive Property] Distribute 5:                                                                 3x + 10 + 5x = 4x - 7[Addition] Combine like terms:                                                                        8x + 10 = 4x - 7[Subtraction Property of Equality] Subtract 4x on both sides:                      4x + 10 = -7[Subtraction Property of Equality] Subtract 10 on both sides:                       4x = -17[Division Property of Equality] Divide 4 on both sides:                                  x = -17/4

Answer:

x=[tex]\frac{-17}{4}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]

x=[tex]\frac{-17}{4}[/tex]

Name a pair of adjectives

Answers

uhm .. do you want us to do the photo or name a pair?
The photo is throwing me off a bit

A new price of an item is $39.32. The percent increase was 16%. What was the original price?

Answers

Answer:

let x =the original price

then 116x/100=$39.32

116x=100×39.32

116x=3932

divide both sides by 116

116x/116=3932/116

x=33.89655

(2dp)

x=33.90

PLEASE HELP ME!!!

Boyle's law is :
p1 v1 = p2 v2

what happens to the pressure of a container if the volume is doubled and the temperature is kept the same?

- impossible to determine with the info provided

- the pressure will increase

- the pressure will decrease

- the pressure will stay the same

Answers

Answer:

- the pressure will decrease

(volume is doubled ,the pressure reduced by half).

Step-by-step explanation:

P_1 V_1=P_2 V_2

This equation shows that, as volume increases, the pressure of the gas decreases in proportion.

Similarly, as volume decreases, the pressure of the gas increases.

What is cos45degrees? work shown please

Answers

Answer: [tex]\dfrac{1}{\sqrt{2}}[/tex]

Step-by-step explanation:

The value of [tex]\cos 45^{\circ}[/tex] is the fixed value i.e. [tex]\frac{1}{\sqrt{2}}[/tex]

The values of cosine changes from a maximum at [tex]0^{\circ}[/tex] to a minimum at [tex]180^{\circ}[/tex]

for example, [tex]\cos 0^{\circ}=1, \quad \cos 90^{\circ}=0,\quad \cos 180^{\circ}=-1[/tex]

Simplify.
-6√7 • 4√5
-2 √35
-24 √35
24 √35

Answers

Answer:

-24·[tex]\sqrt{35}[/tex]

Step-by-step explanation:

1. Calculate exactly;
(b) 3/4 + 2/3 + 4/5

Answers

2.2166666666 this is what I got man

what are the outliers for 125, 165, 173, 183, 192, 230

Answers

Answer:

I think 230

Step-by-step explanation:

hope it's help.

I think the answer is 230

Find the exact value of sin v/2, given tanv=12/5 and pi

Answers

The correct way of getting this answer with proof of simplifying the top to the multiplied amount and then subtracts that then simplify to double check

Solve each problem and show the work for each one.

Solve by factoring.
1. 2x^2+9x+26=-4x+5

Solve by using the quadratic formula and round to the nearest hundredth.
2. 3x^2-6x-4=0​

Answers

Answer:

Solve by factoring.

1. 2x^2+9x+26=-4x+5

2x²+9x+4x+26-5=0

2x²+13x+21=0

doing middle term factorization

2x²+7x+6x+21=0

x(2x+7)+3(2x+7)=0

(2x+7)(x+3)=0

either

x=-7/2

or

x=-3.

2.

3x^2-6x-4=0

comparing above equation with ax²+bx+c=0

we get

a=3

b=-6

c=-4

By using quadratic equation

x=[tex] \frac{ - b±\sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Substituting value

x=[tex] \frac{ 6±\sqrt{ {-6}^{2} - 4*3*-4 }}{2*-4} [/tex]

x=[tex] \frac{ 6±\sqrt{ {84}}}{-8} [/tex]

x=[tex] \frac{ 6±2\sqrt{ {21}}}{-8} [/tex]

-8x=6±2√21

taking positive

-8x=6+2√21

x=[tex] \frac{6+2√21}{-8} [/tex]

x=-[tex] \frac{3+√21}{4} [/tex]

taking negative

-8x=6-2√21

x=[tex] \frac{6-2√21}{-8} [/tex]

x=-[tex] \frac{3-√21}{4} [/tex]

I need help asap

Which expression represents the volume of a cube with a side length of 6x?
a)6x^2
b)36x^2
c)36x^3
d)216x^3

Answers

Answer:

Option 4

Step-by-step explanation:

So formula of voulme of the cube is a³

We have the side length is 6x

So sub the value in formula we get 216x³

Answer(D216x^3
Explanation

What are the values of Limit of g (x) as x approaches 33 minus and Limit of g (x) as x approaches 33 plus?

Answers

Answer:

D

Step-by-step explanation:

Help please and thank you

Answers

Answer:

B is correct: 3x=40

Step-by-step explanation:

just cross multiply and mark brainliest if you feel like it :)

Answer:

3x =40

Step-by-step explanation:

3 will cross multiply with x then 4 will multiply 10

Hence 3x=40

What is the value of x that makes the following equation true? You must show your work to get credit. (-2)^4x+2 / (-2)^2x = (-2)^12

Answers

Step-by-step explanation:

you will add the powers 4×+2=6×

then(-2)^6

after this,you will multiply the (-2)^6=(-2)^12
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