In the year 2000, the number of bunnies in a certain forest was 320. Since that year the number of bunnies in that forest has increased at a rate of 16% per year. Write a function, f(x), that models the number of bunnies x year after the year 2000.

Answer:

k = 4

Step-by-step explanation:

17 = 5k - 3

+3.         +3

20/5 = 5k/5

4 = k

k = 4

Answer: k = 4

17=5k-3

1. In order to solve this linear equation, we'll need to group all the variable terms on one side, and all the constant terms on the other side of the equation. In the problem, term -3 will be moved on the left side. Notice the sign changes when you move it to the left.

20 = 5k - 3 + 3

2. Add the numerical terms.

20 = 5k - (3 + 3) = 6. Note: We don't need the six in the 3rd step.

20 = 5k

3. Switch the variable term. (Ex: 3x + 9 ⇒ 9 + 3x)

5k = 20

4. We will need to isolate the variable, to do that, get rid of the coefficient that it multiples. We can do that by dividing 5 by both sides.

5k/5

5. We'll need to reduce 5k/5 to its lowest terms. We can divide the factors that appear both in the numerator and denominator. If we look at 5k/5, 5 appears both in the numerator and denominator.

6. Lastly, we can do the same thing as we did in the 5th step. That'll lead us to k = 2²

7. Solve for 2²

2 x 2 = 4.

Hence, our answer is 4.

Got any questions? Tell me in the comments.

~ Lily, from Brainly.

Answer:

Money need to save each month  = $576.92 each month

Step-by-step explanation:

Given:

Amount of money need to save = $125,000 - $35,000 = $90,000

Number of year remain = 18 - 5 = 13 year

Number of months = 13 x 12 = 156 months

Find:

Money need to save each month

Computation:

Money need to save each month = 90,000 / 156

Money need to save each month  = $576.92 each month

Answer: x= 5.3

Step-by-step explanation:

Looking for side opposite and adjacent so we use tangent or tan. The equation is Tan(angle) = opposite/adjacent so input the numbers... Tan24=x/12 and to solve for x(missing side) multiply both sides by 12 to cancel out and get 5.3427 rounded is 5.3

Answer:

390 cm

Step-by-step explanation:

How to find Volume

Width x Height x Length

=Volume

--

6.5 x 12 x 5 = 390

390 cm

--

Answer: 26 46

Step-by-step explanation:

Answer:

26, 46, 23......

Step-by-step explanation:

Each number is divided by 2 then added by 20.

Answer:

See the solution below

Step-by-step explanation:

Find two numbers whose sum is 8 and whose product is 17. Show all steps.

Given data

Let the first number be x

and the second number be y

so

x+y= 8---------1

x*y= 17---------2

from 1

x= 8-y

put the value of x in 2

(8-y)*y= 17

8y-y^2= 17

collect like terms

y^2-8y+17= 0

Let us check the discriminant

y=  √b^2-4ac

y=   √-8^2-4*1*17

y= √64-4*1*17

y= √64-68

y= √-4

Hence the problem has no real solution because the discriminant is negative

Answer:

C

Step-by-step explanation:

1.3% of 1000 is 13, 13 X 4 ≈ 53

Answer:

you mean trigonometry i'm assuming

but essentially:

soh = sin theta (the angle) = opposite length/hypotenuse length

cah = cos theta (angle) = adjacent length/hypotenuse length

toa = tan theta (angle) = opposite length/adjacent length

Step-by-step explanation:

Answer:

the force is pull

Step-by-step explanation:

Answer

How can tell if  the function [latex]f\left(x\right)={x}^{3}+2x\\[/latex] even, odd, or neither? Solution Without looking at a graph, we can determine whether the function is even or odd by finding formulas for the reflections and determining if they return us to the original function.

Step-by-step explanation:

Answer:

Attach a picture of the shape for the sides already known...

Step-by-step explanation:

Answer:

I think it is 20

Step-by-step explanation:

15+15+24+26=80÷4=20

Answer:

1) 27.374

2)9.177

Step-by-step explanation:

1) To get the value of x , we use the appropriate trigonometric ratio

From what we are given;

we have the hypotenuse ( the side facing the right angle) and the adjacent

The trigonometric identity to use here is the cos

The cos of an angle is the ratio of the adjacent to the hypotenuse

cos 64 = 12/x

x = 12/cos 64

x = 27.374

2) Here, we are given the hypotenuse and the opposite

The trigonometric ratio to use here is the sine

the sine of an angle is the ratio of the opposite to the hypotenuse

thus, we have it that;

sin 35 = x/16

x = 16 sin 35

x = 9.177

Answer:

C

Step-by-step explanation:

there is no other line

Answer:

1.false

2.false

3.

4.false

5false

7false

8false

9false

false

Answer:

1, 2 and 5

Step-by-step explanation:

Answer:

m=15

Step-by-step explanation:

Answer:

54 + 2b

Step-by-step explanation:

(9 + 40) + (5 + 2b)

49 + 5 + 2b

54 + 2b

Answer:

the lowest common factor of 36 and 56 is 1

you can also have 2,4

Answer:

-1.3125

Step-by-step explanation:

-16(d+1) = 20

-16d - 1 = 20

       +1    +1

-16d = 21

d = -1.3125

or -1.3

Answer:

-3/7, -2/8, -0.2

Step-by-step explanation:

-0.2 = -1/5

We have -3/7, -2/8 and -1/5

For positive b and d:

a/b < c/d if and only if a*d < c*b

-3/7 < -2/8 if and only if -3*8 < -2*7; obviously true

-2/8 < -1/5 if and only if -2*5 < -1*8; -10 < -8; true

so we get -3/7 < -2/8 < -0.2

Answer:

So basically 5%?

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

r = 3cm

Volume of cone = 27π cm³

[tex]\frac{1}{3}\pi r^{2}h=27\pi \\\\\frac{1}{3}*\pi *3*3*h=27\pi \\[/tex]

                   h   = [tex]\frac{27\pi *3}{\pi *3*3}\\[/tex]

                    h = 9 cm

Answer:

the formula of the triangle to 1/2×(base ×height)

Step-by-step explanation:

subsitude the values into the formula i gave you. you should be able to get the answer.

Answer:

4 times the square root of 6 (4[tex]\sqrt{6}[/tex] )

Step-by-step explanation:

Use a factor tree

Answer:

B (169)

Step-by-step explanation: