The population of rabbits on an island is growing exponentially. In the year 2000, the
population of rabbits was 220, and by 2004 the population had grown to 350. Predict
the population of rabbits in the year 2011, to the nearest whole number.

Answers

Answer 1

Answer:

Step-by-step explanation:

630

Answer 2

Answer:

789 to nearest whole number.

Step-by-step explanation:

In 4 years its increased from 220 to 350.

350 = 220(e)^4k  where k is some constant.

e^4k = 350/220

4k = ln (350/220) = 0.4643

k = 0.1161

The equation  of growth is therefore

P = 220e^0.1161t)

So  in 2011 ( t = 11 years) the

Population = 220 * e^(11*0.1161)

= 789.


Related Questions

Solve the inequality for t.

11 ≤ t + 4

Simplify your answer as much as possible.

Answers

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

11 ≤ t + 4  We are gonna simplify

Step 2

11 ≤ t + 4  simplify

t+4≥11

Step 3

t+4≥11  Subtract 4 from the sides

t≥7

So therefore, your answer will be t≥7

Hope this helps

43,5% of this skeleton's body is his mermaid tail.
Write the percent as a decimal.

Answers

Answer:

0.435

Step-by-step explanation:

43.5*0.01=0.435

7. A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. a. Calculate the number of cubes with edge length cm that fit in this prism. b. What is the volume of the prism in cm3? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .

Answers

Answer:

a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520

b. Volume of the prism= 315 cm³

Step-by-step explanation:

Volume of the rectangular prism =  length *width * height

                                  = 7 1/2 * 12 * 15 1/2

                                  = 7 * 6* 15 1/2

                                  = 7*3*15

                                  = 315 cm³

Volume of the cube =  length *width * height

                                 = 1/2 *1/2 *1/2

                                   = 1/8 cm³

Now number of cubes that would fit in the rectangular prism is given by

   =  Volume of the prism/ Volume of the cubes

     = 315/1/8

      = 2520

The number of cubes with edge length cm that fit in this prism= 2520

Find the area of the trapezoid

A. 168 in^2
B. 94.5 ft^2
C. 72 ft^2
D. 84 ft^2

Answers

Answer:

D. 84 ft^2

Step-by-step explanation:

Formula for area of a trapezoid:

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

The trapezoid shown has the following dimensions

base 1 = 9ft

base 2 = 12ft

height = 8ft

Using the following information we plug in the values into the formula

[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]

Hence, the area of the trapezoid is 84ft² and your answer is D

Which of the following represents the factorization of the trinomial below?
x² - 8x - 48
A. (X-6)(x-8)
B. (X+6) (x-8)
C. (x-4)(x-12)
D. (x+4)(x-12)

Answers

The anser is d that what i think

A jogger is running around a 3/4 mile track and is 2/3 of the way around the track. How far has the jogger traveled

Answers

Answer:

im literally doing the same exact thing right now

Step-by-step explanation:

Solve the system of equations:

y = x + 2
y = x2 + 5x + 6

A.
(0, 2) and (2, 4)

B.
(–2, 0) and (–3, 0)

C.
(–2, 0)

D.
(0, 2)

Answers

Answer: C

Step-by-step explanation:

Since both equations are set equal to y, it follows that

[tex]x+2=x^2 + 5x+6\\\\x^2 +4x+4=0\\ \\ \\(x+2)^2 = 0\\\\x=-2\\\\\implies y=-2+2=0[/tex]

So, the solution is (-2, 0).

what is the probability that you will fail a test (pass or fail), draw a red ace, and then roll a 6?

Answers

Answer:

0.7890176%

Step-by-step explanation:

First, there is a 64% chance of failing a test.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

The probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%

We have given that,

First, there is a 64% chance of failing a test.

We have to determine the probability

What is the probability?

Probability is an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces.

You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

Therefore the probability that you will fail a test, draw a red ace, and then roll a 6 is  0.7890176%.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

The base area of cube is 64 square cm. Find its volume.​

Answers

Answer:

a cube has 8 sized

Step-by-step explanation:

64 ×8 equal 512.

Which equation represents a line which is parallel to the line y=7/2x-4

Answers

Answer:

y=-(7)/(2)x-5

Step-by-step explanation:

to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.

Answer:

y = 7/2x + 2

Step-by-step explanation:

to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.

HELP! I’LL GIVE BRAINLIEST ANSWER

Answers

Answer:

d. 20°

Step-by-step explanation:

First, we need to solve for m<Q

m<Q+m<R+m<S=180°

where m<R=90° and m<S=70°

m<Q+90°+70°=180°

m<Q=20°

Since m<Q=m<M

Then, m<M=20°

Please help me with this math question.

Answers

Answer:

275 m^3

Step-by-step explanation:

The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.

First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.

In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.

Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so

V=(1/3)(75/2)*22=275

help please I would appreciate it thank u​

Answers

Answer:

radius = 7.5 cm

Step-by-step explanation:

Since M is the midpoint of the chord AB then OM is perpendicular to AB

Using Pythagoras' identity in right triangle OMB with hypotenuse OB, the radius of the circle, then

OB² = OM² + MB² = 4.5² + 6² = 20.25 + 36 = 56.25 ( take square root of both sides )

OB = radius = [tex]\sqrt{56.25}[/tex] = 7.5

Which of the following is an irrational number?

Answers

b. square root of 2 is irrational

Which expression is equivalent to 2⁻⁴ x 2⁴

Answers

Answer: You have to provide the options in order for people to help.

Step-by-step explanation:

Determine the volume of the rectangular prism.​

Answers

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]

hope it helps

have a nice day

Which equation shows the quadratic formula used correctly to solve 7x^2 = 9 + x for x?

Answers

Answer:

Step-by-step explanation:

We must rewrite 7x^2 = 9 + x in standard form first:  7x^2 - x - 9 = 0.

The coefficients are 7, -1 and -9, and so the discriminant b^2 - 4ac is

(1)^2 - 4(7)(-9) = 253.

The roots are:

       -(-1) ± √253           1 ± √253

x = --------------------- = --------------------

              2(7)                       14

Please help, due soon. Use the information provided to write the standard form equation of each circle

Answers

Answer:

D

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius ) , then

x² + y² = ([tex]\sqrt{249}[/tex] )² , that is

x² + y² = 249 → D

I just need help with the graphing!

Answers

Answer:

solution is in attachment

hope it helps

What is the difference between the two rates of
change?
Function A
Function B.
7
14
21
Y
3
10
17

Answers

Answer: ben dover

Step-by-step explanation:

touch your toes ill show you where the wild goose goes

HELP ME NOWWWWWW. thanks.

Answers

Answer:

LETTER C. PO 40 ang sagot


Answer 15 points
( don’t answer if you don’t the answer )

Answers

Answer:

V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.

Step-by-step explanation:

The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared.  The volume of figure 2 would be 1005.30965

the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741

hope this helps! (Also please make me brainliest if this helps u :) )

a line with a slope of 1 passes through the point (5,10). what is the equation in this slope-intercept form?

Answers

Answer:

y=x+5

Step-by-step explanation:

So first you need to plug everything into the point-slope formula which is

y-y1=m(x-x1)

m being the slope and y1 and x1 being the point (5,10)

So once you plug it in it should look like this: y-10=1(x-5)

Now you solve it

First you need to distribute 1 in 1(x-5) which is (x-5)

Now you have y-10=x-5

Then you add 10 to both sides which is y=x+5

Your answer is y=x+5

What is h?
Im so confused on this question

Answers

Answer:

i think h stands for height. I dont see it standing for any thing else

Step-by-step explanation:

I don’t know how to answer this

Answers

Answer:

EII

Step-by-step explanation:

3) Using the picture, find the measure of side J.
A) 28√3
B)28
C)56
4) Using the same picture, find the measure of side K.
A) 28√3
B)28
C)56

Answers

Answer:

solution is in attachment

hope it helps

Shana plans to borrow $1,300 to buy a guitar. One bank is offering a simple interest rate of 5% per year on borrowed amounts. Another bank is offering a simple interest rate of 4%. Shana plans to repay the loan in 3 years. In dollars, how much can she save by borrowing from the bank with the lower interest rate? Record your answer in the box.

Answers

Answer:

5% times 3=15%

4% times 3=12%

15-12=3

1300 times 0.03= $39

39 dollars.

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Answers

Answer:

7 radians

Step-by-step explanation:

In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.

Since our Angle in in radians

The formula for Arc length = S = rθ

S = 14π

θ = central angle = 2π radians

Hence

r = S/θ

r = 14π/2π radians

r = 7 radians

Radius = 7 radians

70% of the magic tricks that Jade knows are card tricks. If she knows 14 card tricks, how many magic tricks does Jade know in all?

Answers

Answer:

20

Step-by-step explanation:

Given data

Let the number of magic tricks be x

we are told that she knows 70% of card trick which is 14 card tricks

hence we have

70/100*x= 14

0.7x= 14

x= 14/0.7

x=20

Hence the number of magic tricks she knows is 20

Jameson puts $4,000 in graduation money in an account for 10 years. The interest rate is 4.2%. If he withdraws all of the money after 10 years, how much
does he take out?

Answers

Answer:

2,320

Step-by-step explanation:

4.2% gets taken every year and there is 10 year,so 4.2% s uqual to 0.042,so just mutiply 4000 by 0.042 which  is 168,then times 168 by 10 which brings you to 1680 and 4000 subtracyed by 1680,which equals 2,320

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