Please help. Will mark brainliest! Answer the questions.

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

Answer:

D makes the most sense to me hope this helps :)

Step-by-step explanation:

I got -1 over 2 or 7 over 2

Answer:

x-27=5

Step-by-step explanation:

x=32

answer:

literally how. i just did this question myself lol

the answer is 540 with each interior angle being 108 degrees

Answer:

x= 12/7

Step-by-step explanation:

3x+4x=12

Step 1: Simplify both sides of the equation.

3x+4x=12

(3x+4x)=12(Combine Like Terms)

7x=12

7x=12

Step 2: Divide both sides by 7.

7x  7 = 12 7 x= 12 7

12/7

Answer:

28.27

you just have to know the formula

Answer:

The other equation should be y= -5/3x +3 comment

if you have any questions

Step-by-step explanation:

Brainliest?!?!?

Answer:

Step-by-step explanation: ok so if 5x + 3y =9

then you have to subtract 3-x15=  and then you will get your answer

Answer:

35

Step-by-step explanation:

35 is %5 of 700.

Answer:

35 people have red hair

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct answer is p= 2+d and p= d-1

Answer:

2799.2 cm cubed

Step-by-step explanation:

h\hspace{3px}=\hspace{3px}11\hspace{30px}r\hspace{3px}=\hspace{3px}9

h=11r=9

identify variables

V=

V=

\,\,\pi r^2h

πr

2

h

use volume of a cylinder formula

V=

V=

\,\,\pi(9)^2(11)

π(9)

2

(11)

substitute variables into formula

V=

V=

\,\,2799.15905435

2799.15905435

multiply

V=

V=

\,\,2799.2\text{ cm}^3

2799.2 cm

3

round to the nearest tenths place

Volume of cylinder is 2799.16 [tex]cm^{3}[/tex]

Given that,

According to the scenario, computation of the given data are as follows,

Volume of cylinder = [tex]\pi r^{2}h[/tex]

By putting the value, we get,

Volume of cylinder = 3.14 [tex]\times[/tex] [tex]9^{2}[/tex] [tex]\times[/tex] 11

= 2799.15905 [tex]cm^{3}[/tex] or 2799.16 [tex]cm^{3}[/tex]

Learn more about volume : https://brainly.com/question/5525937

Answer:

x<1

Step-by-step explanation:

[1x + 1]< 2

Simplify both sides of the inequality.

x+1<2

Subtract 1 from both sides.

x+1−1<2−1

x<1

Answer:

x<1

On the graph line, the circle is open on number 1 and is going left

Answer:

(a) x=5

(b) x= -1 1/3

(c) x= 1

Step-by-step explanation:

(a)                       (b)                        (c)

2(x-3)=4           −3(2x+1)=5          a(bx+c)=d

x−3=4/2           2x+1= −  5/3          d^1−1

x−3=2               2x= -5/3-3/3        d^0

x=2+3                 2x= -5-3/3           x=1

x=5                    2x= -8/3*2

                          x= -8/6

                          x= -4/3

Answer:

24

Step-by-step explanation:

I did the math

Answer:

X=9

Step-by-step explanation:

Answer: Base Number is defined as a number which is multiplied by itself, whereas the exponent represents the number of times the base number is multiplied.

Answer:

A

Step-by-step explanation:

A is your answer because

the exponent is 2 for the two equations first u have to multiply your exponents and then you multiply your 4 and 3 from that u get your answer ,but answer is A

Hope this helps:)

Pls mark brainlist

Answer:

A) [tex]\sqrt{4^{2} +3^{2} }[/tex]

Step-by-step explanation:

One side is 4 cm, the other side of the triangle is 3 cm because you subtract 4 from the 7 length. To find hypotenuse, you do side 1 squared + side 2 squared.

Hope it helps!

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2/5 + 2/5 = 4/5

So after 2 scoops the feeder would be full

Answer:

False 1 ton is 2000 lb

Step-by-step explanation:

Answer:

There an a mistake

Step-by-step explanation:

(5x2 – 6x + 10) + (x2 + 8x – 4)

There can't be x2  

and 5x2 is that 5*2 or 5*x2

Answer:

Step-by-step explanation:

2x+6y = 12

Rearrange to solve for y

6y = -2x + 12

y = -⅓x+ 2

Slope of line = coefficient of x = -⅓

Parallel lines have the same slope. Answer is A

Answer:

A

Step-by-step explanation:

FV=PV(1+i)^t

2500(1+.03)^4

A

Answer:

A

Step-by-step explanation:

It is the only one that shows 3% = 0.03 which is correct.

Answer: 2.16 centimeters

Step-by-step explanation: You would multiply the tail lengths by two, since the tail length is half of the lizards body.

7.25 x 2 = 14.5 and 6.17 x 2 = 12.34

Then you would subtract Haley's lizard's length from Caleb's lizard's length. 14.5 - 12.34 = 2.16

Good luck! :D

Haley's lizard is 2.16 centimeters longer than Caleb's lizard

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We would multiply the tail lengths by two, since the tail length is half of the lizards body.

Thus,

7.25 x 2 = 14.5

6.17 x 2 = 12.34

Then we would subtract Haley's lizard's length from Caleb's lizard's length.

14.5 - 12.34 = 2.16

Therefore, Haley's lizard is 2.16 centimeters longer than Caleb's lizard

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Step-by-step explanation:

ijsjnsns

jjwjwjwjhehwhwjwjwnwjwjwhhwhw

Answer:

Slope: -x

Slopes in paralel lines are the same

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

20/10 devided by 10 to both numbers