Jessica has been tracking the population of a town. The population was 8,230 last year and has been increasing by 1.25 times each year. How can Jessica develop a function to model this?

Answers

Answer 1

Answer:

Population at start : 8,230.

The rate of growth: r = 1.25

x - number of the years;

Answer:

B ) f ( x ) = 8,230 * ( 1.25 ) ^x where 1.25 is the rate of growth.

Step-by-step explanation:

Answer 2

Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.

What is exponential population growth?

In an ideal condition where there is an unlimited supply of food and resources, the population growth will follow an exponential order.

Jessica has been tracking the population of a town.

The population was 8,230 last year and has been increasing by 1.25 times each year.

The population growth function is;

[tex]\rm f(x)=P_0 x^t[/tex]

Substitute all the values in the formula;

[tex]\rm f(x)=P_0 x^t\\\\f(x) = 8230 (1.25)^x[/tex]

Hence, Jessica develops a function to model this 8230(1.25)ˣ, where 1.25 is the rate of growth.

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Related Questions

I'll mark you the brainlest if you answer this correctly​

Answers

Answer:

A=14

Use formula A^2+B^2=C^2

Answer:

∠ A ≈ 24°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{MR}{AR}[/tex] = [tex]\frac{6}{15}[/tex] , thus

A = [tex]sin^{-1}[/tex] ([tex]\frac{6}{15}[/tex] ) ≈ 24° ( to the nearest degree )


The circle above has a radius of 12 cm. What is the area of the circle? Use = 3.14

Answers

Answer:

452.39

Step-by-step explanation:

C=[tex]\pi[/tex]r 2

C= 3.14 times 12(2)

Look at the attached picture

Hope it will be helpful to you...

Find the area of the shape shown below.

Answers

Answer:

44.5

Step-by-step explanation:

(1 x 12) + (5 x 13)/2 = 44.5

Answer: 44,5 cm2

Step-by-step explanation:

Rektangel:

1 × 12 = 12 cm2

triangel:

13 × 5 = 65 cm2

78 ÷ 2 = 32,5 cm2

Area:

32,5 + 12 = 44,5 cm2

Which math sentence can be used to determine if this triangle is a right triangle?
Side 12
Side 15
Side 18
12+ 15 = 18
122+ 152 = 182
12+18 = 15
122+ 182 – 152

Answers

Answer:

12^2 + 15^2 = 18^2

Step-by-step explanation:

If we have 3 sides of a triangle we can use the Pythagorean theorem to determine if the triangle is a right triangle

a^2 + b^2 = c^2

12^2 + 15^2 = 18^2

If this is true, then the triangle is a right triangle

Answer:

Step-by-step explanation:

i think it is b

Which ratio is equivalent to the scale kom?
1:50
1:51
50:1
49:50

Answers

Answer:

50;1

Step-by-step explanation:

cause

1:51 because of the ratios

Evaluate.
Remember Order of Operations!
PEMDAS)
100 = 5 x
(4 + 2)

Answers

ANSWER: 100=5*6

                   100=30

HOPE IT HELPS!

Answer:

x = 3 1/3

Step-by-step explanation:

Let's go over the order of operations.

P: Parentheses

E: Exponents

M/D: Multiplication/division (in order of appearance)

A/S: Addition/Subtraction (in order of appearance)

100 = 5*(4 + 2)

Since there are values in parentheses, solve those first: 100 .= 5x(6).

Next, multiply 5x by 6. 100 = 30x.

Finally, divide each side by 30 to find the value of x. 3 1/3 = x

Therefore, the value of x is 3 1/3.

(Note: this is assuming the term "x" is a variable, and not the multiplication sign, *.)

The circumference of the inner circle is 22 ft. The distance between the inner circle and the outer circle is 4 ft. By how many feet is the circumference of outer circle greater than the circumference of the inner​ circle? Use 22/7 for pi.
(Two circles have the same center. One circle lies inside of the other. The distance between the two circles is labeled 4 feet.
4 ft)
The circumference of outer circle is about
____ ft greater than the circumference of the inner circle.
​(Round to the nearest tenth as​ needed.)
HOW MANY FEET GREATER IS THE CIRCUMFERENCE OF THE OUTER CIRCLE THAN IT IS OF THE THE INNER CIRCLE *ROUND TO THE NEAREST TENTH*
answer fast please!

Answers

Answer:

25.1

Step-by-step explanation:

1. Find the radius of the inner circle

(the formula for the circumference of a circle is [tex]C=2\pi r[/tex])

To find the radius of the inner circle, you would plug in the given information so that your equation looks like this:

[tex]22=2(\frac{22}{7} )r[/tex]

then solve for [tex]r[/tex]

[tex]r=3.5[/tex]

2. add [tex]4[/tex] to the radius of the inner circle

[tex]3.5+4=7.5[/tex]

3. find the circumference of the outer circle using [tex]7.5[/tex] as the radius

[tex]C=2(\frac{22}{7})7.5[/tex]

[tex]C=47.1[/tex]

4. Subtract the circumference of the inner circle from the circumference of the outer circle

[tex]47.1-22=25.1[/tex]

     

Question 25

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

Answers

Answer:

its c

Step-by-step explanation:

help plz will mark brainliest :)​

Answers

Answer:

c

Step-by-step explanation:

subtract b from both sides

divide by x


What is the measure of theta in radians?
Enter an exact expression.


Answers

Answer: pi/3 radians

Step-by-step explanation:

0= arc length/radius

0= pi/3 radians

Makayla has 90 minutes to answer 36 questions on a school survey. How many minutes per
question does she have?

Answers

Answer:

Makayla has 2 and a half minutes to answer each question.

Step-by-step explanation:

To get two and half you will have to divide 90 from 36 then you get 2 and a half minutes. hope this helps =D

By  using division as mathematical operation,

Makayla need 2 and half minutes to answer each question

What is division?

"The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in mathematics."

We have

Number of minutes to answer 36 questions = 90

We have to divide 90 by 36

= [tex]\frac{90}{36}[/tex]

= 2.5 minutes

Hence, By  using division as mathematical operation, Makayla need

2 and half minutes to answer each question.

Learn more about division here

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Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

The first table

Step-by-step explanation:

Because both side -1 every time.

Answer: C

Step-by-step explanation:

It represents a proportional relationship because each time they add two

I will give you all five stars ⭐⭐⭐⭐⭐

Answers

Answer:

omg really;O

Step-by-step explanation:

Eric, Cam, and Brooke are playing a game of mini golf on a computer. The computer program for the game stores

objects in terms of I and y coordinates. All coordinate values are in meters.

The players are shooting at the hole, which is located at (3,2). After hitting their initial shots, Eric's golf ball is at

(-6,6). Cam's golf ball is at (8,-6), and Brooke's golf ball is at (10,8).

If the player whose ball is farthest from the hole should shoot next, which player should shoot next?

Choose 1 answer:

Answers

Answer:

Eric

Step-by-step explanation:

For we solve this problem, we have to determine the distance of each player to the hole using the distance formula.

D = √(x2-x1)²+(y2-y1)²

The hole for Eric is

The hole is at (3,2)

Eric's golf ball is at point (-6,6)

= √(-6-3)²+(6-2)²

= √-9²+4²

= √81+16

= √97

= 9.85 approx

The for Brooke

The hole is at (3,2)

Brooke's golf ball is at point (10,8)

= √(10-3 )²+(8-2)²

= √7²+6²

= √ 85

= 9.22 approx

Base on the two values gotten, Eric distance is more far compare to Brooke, therefore Eric should be the one to shoot next .


A cube has a volume of 0.216 ft?. What is the length of each side of the cube?

Answers

Answer:

the answer is 0.054

What is the volume of the cone below?

Answers

Where’s the Picture of the cone

asapppp

What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2

Answers

i believe you multiple all three together and you get d. 504


Write an equation in slope-intercept form for the line that passes through (−5,−2) and is perpendicular to the line described by y=5/3x+2.

Answers

Answer:

Step-by-step explanation:

y + 2  = (-3/5)(x + 5)

y + 2 = (-3/5)x - 3

y = (-3/5)x - 5

Need help please I don’t know it

Answers

Answer:

its h

Step-by-step explanation:

3/4th of 16 is 12

I also agree it’s H

Please help giving brainlest out oh and 20 points

Answers

question number one is 15 ft

question number two is 7 MI

tbh i forgot how to do the 3rd one

Answer:

question number one is 15 ft

question number two is 7 MI

tbh i forgot how to do the 3rd one

Step-by-step explanation:

05.01 MC)
What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (5 points)

Question 4 options:

1)

y − 5 = −3(x + 2)

2)

y − 5 = 3(x + 2)

3)

y − 11 = −3(x − 2)

4)

y − 11 = −3(x + 2)

Answers

the answer is number 2)

9) A cooler contains eight bottles of sports
drink: four lemon-lime flavored and four
orange flavored. You randomly grab a
bottle and give it to your friend. Then,
you randomly grab a bottle for yourself.
You and your friend both get lemon-lime.
Are the events independent or dependent?
What is the probability?

Answers

Answer:

dependent. 2/8=1/4

Step-by-step explanation:

A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?

Answers

Answer:

Step-by-step explanation:

Total= 100 Ft

Width= 20

Length=?

Total - Width = Length

100 - 20 =

80 Length Of the Garden

Mr. Morris asked Rob to shovel the snow from his driveway every day that it snowed during the month of January. He agreed to pay Rob $0.01 for the first day, $0.02 for the second day, $0.04 for the third day, $0.08 for the fourth day, and so on. If it snowed for 13 days in January, how much would Mr. Morris pay Rob on the 13th day?

Do not answer if you do not know. Only good answers with explanations.

Answers

Answer:

Total amount to be paid on 13th day is $40.96.

Step-by-step explanation:

Mr. Morris pays Rob $0.01, $0.02, $0.04 ..... on 1st, 2nd , 3rd .... day respectively.

We can clearly see that the next number is becoming double of the previous value.

The above sequence of numbers are in a Geometric Progression with  

First term, a = 0.01 and

Common ratio, r = 2

We have to find the total amount paid on 13th day.

We know that the [tex]n^{th}[/tex] term of a GP is given by:

[tex]a_{n} =ar^{n-1}[/tex]

Where, a is the first term of GP

r is the common ratio

We have to find the [tex]13^{th}[/tex] term of the GP as per question statement.

Putting the values in the formula above:

n = 13

a = 0.01 and

r = 2  

[tex]a_{13} = 0.01 \times 2^{13-1}\\\Rightarrow 0.01 \times 2^{12} \\\Rightarrow 0.01 \times 4096\\\Rightarrow 40.96[/tex]

Total amount to be paid on 13th day is $40.96.

Find the area of the kite.
56 mm 2
40 mm 2
30 mm 2
80 mm 2

Answers

Answer:

30 mm 2

Step-by-step explanation:

The answer is 40 mm 2

Factor the polynomial.
18j4k - 30j75 + 54;3

Answers

Answer:

72jk - 2250j + 54.3

Step-by-step explanation:

Multiply the numbers 18 times 4 = 72

72jk - 30 times 75j + 54.3

Multiply 30 and 75 = 2250

72jk - 2250j + 54.3

At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much money does the school expect each student to spend per meal. Which equation can be used to represent this situation? plz help now if u can

Answers

It will take 4$ for a meal because 16/2meals is 8 - 4 dollars for snack is 4

Answer:

16 = 2x + 4

Step-by-step explanation:

The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.

Why was radian such a good safety on the football team? (25 pts)

Answers

Answer: because of the translational and rotational motion of the football

Step-by-step explanation:

A kick or a well thrown football follows a projectile path while spinning. In football, creedence is given to the translational motion which is independent of the spinning rotational motion. Radian is good in analysing the path because the angle representing one radian, is such that the length of the subtended circular arc is equal to the radius of the circle. 

Which figures can be circumscribed by a circle? Select all that apply.

Answers

Answer:

Using the properties of inscribed quadrilateral (the sum of two opposite angles is 180 deg), we have

Option A, B, C are all correct (those figures can be circumscribed by a circle).

Hope this helps!

:)

If a wiggling string has a natural frequency of 34.5 Hz to produce 4 harmonics, what is the period of the string?

Answers

Answer:

[tex] T = \frac{1}{f}[/tex]

And replacing we got:

[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

Step-by-step explanation:

For this case we know the frequency associated to the 4 harmonic.

We know that by definition the frequency is the inverse of the period:

[tex] f= \frac{1}{T}[/tex]

If we solve for the period we got:

[tex] T = \frac{1}{f}[/tex]

And replacing we got:

[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

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