1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zanzabum
1 year ago
9

PLEASE HELP ME AS SOON AS POSSIBLE

Mathematics
1 answer:
tatyana61 [14]1 year ago
3 0

a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.

b) Using the function, the estimate for the population in 2020 is of 26,400.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:

m = -2400/12 = -200.

Hence the equation is:

P(t) = -200t + 29600.

2020 is 16 years after 2004, hence the estimate is:

P(16) = -200(16) + 29600 = 26,400.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

You might be interested in
Next, find the length of BC. Place point F at (4,4), and draw BF and FC. Find BF and FC using the coordinates of B, C, and F. Th
hammer [34]

9514 1404 393

Answer:

  BC = 5

Step-by-step explanation:

Of course, this geometry program can tell you the length of BC.

__

If you follow directions, you get a right triangle BCF that has leg lengths 3 and 4. The Pythagorean theorem then tells you the length of hypotenuse BC is ...

  BF = 4 -1 = 3

  FC = 4 -0 = 4

  BC² = BF² +FC²

  BC² = 3² +4² = 9 +16 = 25

  BC = √25

  BC = 5

7 0
2 years ago
Last month, Carla’s neighbors paid her to take care of their cat when they went on vacation.she spent $4 of her earnings on an a
kap26 [50]

Answer:

she got 27 dollars

Step-by-step explanation:

when u add $4 and $14 u get $18.then add the 9 dollars she had left and u will get 27 dollars.

Hope this is a clear description

7 0
2 years ago
Which method would be more efiicient to solve the system y=1/2x and 2x+3y=28
Licemer1 [7]
Probably the subsitution method


y=1/2x
subsitute that fr y

2x+3(1/2x)=28
2x+3/2x=28
times 2 both sides
4x+3x=56
7x=56
divide by 7 both sides
x=8
sub back

y=1/2x
y=1/2(8)
y=4

(x,y)
(8,4)
6 0
2 years ago
The function f(x)=-(x-3)^2 +9 can be used to represent the area of a rectangle with the perimeter of 12 units, as a function of
Ivenika [448]

Maximum area of the rectangle is 9cm^{2}

<u>Explanation:</u>

<u></u>

Considering the dimensions to be in cm

f(x) = -(x-3)^{2} +9\\f(x) = -(x^{2} +9 - 6x)+9\\f(x) = -x^{2} +6x\\f'(x) = -2x+6\\-2x+6 = 0\\2x=6\\x=3cm\\\\

Putting the value of x = 3

Perimeter = 2(x+b)\\12 = 2(3+b)\\6 = 3+b\\b= 3cm

Area of rectangle = x X b\\                              = 3 X 3\\                              = 9cm^{2}

Therefore, maximum area of the rectangle is 9cm^{2}

7 0
2 years ago
I need help man pls​
Tanya [424]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Can a greatest integer function be part of a piecewise defined function?
    15·1 answer
  • Write the formula for the area of a triangle, A, where b is the base and h is the height of the triangle. Don’t include parenthe
    5·1 answer
  • Evaluate |-11| What’s the answer
    13·2 answers
  • How do i solve for x with mixture word problems
    9·1 answer
  • Write a mixed number for t so 2 3/4 is more than 2 3/4
    15·1 answer
  • Please help but use Expanded Notation way. Thank you so much
    10·2 answers
  • A baseball “diamond” is a square with a side length of 90 feet. How far is the throw from
    9·1 answer
  • Point B (-1, -2) is the midpoint of line segment AC. Point A is located at (4,4). Find
    15·1 answer
  • .. Find the L.C.M. of (a - 5)(a – 4) and (a + 4)(a – 5)​
    8·2 answers
  • Due Nov 19, 9:10 AM A museum requires that for every 6 students. two teachers are needed. If 42 students are in , ? Participatio
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!