A certain forest covers an area of 4000km squared. Suppose that each year this area decreases by 3.75percent. What will the area be after 14 years

Answers

Answer 1

Answer:

After 14 years, the area will be 2342.4 km squared.

Step-by-step explanation:

Since the area is decreasing, we can use the decaying exponential function

[tex]y = A(1 - r)^{t}[/tex]

where

A represents the initial area.r represents the rate at which the area changest is the time period

Given

Initial Area A = 4000 km squared

Rate r = 3.75% = 3.75/100 = 0.0375

Time period t = 14

To Determine

The Area after 14 years = y = ?

Plug in the values in the formula

[tex]y = A(1 - r)^{t}[/tex]

[tex]y\:=4000\left(1\:-\:0.0375\right)^{14}[/tex]

[tex]y=4000\cdot \:0.9625^{14}[/tex]

[tex]y=2342.4[/tex] km squared

Therefore, after 14 years, the area will be 2342.4 km squared.


Related Questions

According to the graph, a student who studies 10 hours per week should earn a score of about how much?

Answers

A student who studies 10 hours per week should earn a score of 95

Which situation could NOT represent a proportional relationship?
A The number of gallons of water in x barrels with 42 gallons of water in each barrel
B The amount an employee who makes $8.50 per hour earns in h hours
C The weight in x weeks of a puppy that gains 2 pounds per week if its starting weight is 8 pounds
D The cost of purchasing p pounds of bananas for $0.55 per pound

Answers

Answer: C
(i just did this in math haha)

a)
2x+4=y
y=-2x-3
y= 2x + 4
parallel, perpendicular or none?

Answers

Answer:

Step-by-step explanation:

25-[20-{10-(7-5-3)}]=

Answers

Answer:

16

Step-by-step explanation:

When there are more than 1 brackets , there is a specific order of opening those brackets. First we open the bar , then round brackets , then curly brackets & then square brackets.

Using the order , let's solve this.

25-[20-{10-(7-5-3)}]

=> 25-[20-{10-(7 - 8)}]

=> 25-[20-{10 - (-1)}]

=> 25-[20- {10 + 1} ]

=> 25-[20 - {11}]

=> 25 - [ 20 - 11 ]

=> 25 - [9]

=> 25 - 9

=> 16

What is Exterior angles theorem?

Answers

Answer

Explanation
The formula for calculating the size of an exterior angle is
exterior angle of a polygon = 360 divided by number of sides

Answer:

Exterior Angle Theorem

Step-by-step explanation:

An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. The Exterior Angle Theorem states that An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

HELP PLEASE


this is really hard help me

Answers

It says I need permission you didn’t upload your question?

What is the standard deviation of the following data set?
{14, 26, 40,52}
Your answer:
N
11.12
13.78
15.6
14.32

Answers

Answer:

D. 14.32

Step-by-step explanation:

The formula for standard deviation is:

[tex]SD = \sqrt{\frac{\sum | x-\mu|^2}{N}}[/tex]

The mean μ is 33.

The (x minus μ) squared are 361, 49, 49, 361 respectively.

So that the SD = [tex]\sqrt{\frac{820}{4}} \approx 14.31782...[/tex]

Susan works as a hostess where she makes $8.75 per hour. She also babysits and earns $10 per hour. Last week she made $165. If she worked six hours more as a hostess then she did babysitting, how many hours did she babysat last week?

Answers

Answer:

she babby sat atleast 4 hours last week

Would the circled area be an interior or exterior angle? Pls help!!!

Answers

Answer:

interior angle

Step-by-step explanation:

Curve fitting is a methode of finding

Answers

The method of least squares is a widely used method of fitting curve for a given data

Step-by-step explanation:

It is the most popular method used to determine the position of the trend line of a given time series. The trend line is technically called the best fit. ... The sum of the deviations of y from their corresponding trend values is zero.

Can someone pleaseee help!!

Answers

Answer:

b

Step-by-step explanation:

The battery life for Bruhier’s cell phone is longer when he has fewer apps running. When only one app is running, the battery will last for 16 hours. When four apps are running, the battery will only last for 4 hours.

This situation represents
variation.

The constant of variation, k, is equal to
.

If eight apps are running, Bruhier’s battery will last for
hours.

Answers

Answer: The correct answer is

Inverse

16

2

Step-by-step explanation:

Please give explanation and I will give brainliest

Answers

Answer:

30.8, 37

Step-by-step explanation:

First, we know that the angles in a triangle add up to 180, so 180-75-48= m∠G=57°. Then, using sohcahtoa, we have tan(G) = DF/FG = DF/20. tan(G) ≈ 1.54, so 20(1.54)=DF≈ 30.8

Next, using sohcahtoa, we have cos(G) = FG/DG = 20/DG. cos(G)≈0.54, and 20/0.54=DG ≈ 37

I GIVEEEE BRAINKLILSETR

Answers

Answer:

G) 5 hours

Step-by-step explanation:

120 / 2 = 60 mph, since the plane travels at 60 mph for it to travel 300 miles it will be: 300/60 which equals 5

How do you do this problem? Expressions and Calculator Skills

7x2 + 2x – 6?
X=-3

Answers

Answer:

51

Step-by-step explanation:

7x^2 + 2x -6 [x= -3]

7(-3)^2 + 2(-3) - 6

7(9) + (-6) -6

63 + -12 = 63 - 12 = 51

Consider the intersecting lines shown. Which of the following statements is true?

Question 10 options:


A)
∠y ≅ ∠z


B)
∠x ≅ ∠y


C)
m∠x + m∠y = 180°


D)
m∠x + m∠y = 90°

Answers

Answer:

C. m∠x + m∠y = 180

Step-by-step explanation:

The two straight line in the diagram intersect each other to form two pairs of vertical angles. These are <x and <z, and <y and w.

The only statement from the given options that is true is m∠x + m∠y = 180.

This is because they are angles in a straight line. The sun of angles in a straight line is 180°.

Help? **WILL GIVE BRAINLIEST**

Answers

Answer:

i think it C

Step-by-step explanation:

38% of 1200 Otto middle school students are 6th how many auto students are sixth graders

Answers

Answer:

456 students

Step-by-step explanation:

38% = 0.38

1200 x 0.38 = 456

Help me please I will give points

Answers

Answer:

5) x = 21, y = -13

6) x = 20, y = -2

I don't know how to get #7, I'm sorry.

Step-by-step explanation:

5) 4x - 3(8 - x) = -3

   4x - 24 - 3x = -3

         +24           +24

           4x - 3x = 21

                    x = 21

y = 8 - 21

y = -13

6) x + 3y = 14

       -3y     -3y

   x  = -3y + 14

   -5(-3y + 14) + 6y = -28

         15y + 14 +6y = -28

                 21y + 14 = -28

                          -14    -14

                        21y = -42

                      ÷21     ÷21

                            y = -2

x + 3(-2) = 14

x + -6 = 14

     +6   +6

      x = 20

3 lemons cost $0.99. At this rate, how much would 8 lemons cost?

Answers

Step-by-step explanation:

3 lemons = $0.99

=> 8 lemons = $0.99 * (8/3) = $2.64.

8 lemons cost $2.64.

Answer:

2.64$  for 8 lemons.

Step-by-step explanation:

3 lemons =  0.99$

1 lemon  = 0.99/3

= 0.33

Cost for 8 lemons = 0.33 x 8

=  2.64$

Hope this helps !!

A health organization collects data on hospitals in a large metropolitan area. The scatterplot shows the relationship between two variables the organization collected: the number of beds each hospital has available and the average number of days a patient stays in the hospital (mean length of stay).
Which hospital represented in the scatterplot would be considered a high leverage point?

the hospital with 35 beds
the hospital with 140 beds
the hospital with 200 beds
the hospital with 310 beds

Answers

Answer:

D. the hospital with 310 beds

Step-by-step explanation:

just did it in edge

Rachel drew the two graphs below. Graph R On a coordinate plane, a line goes through points (0, 0) and (2, 1). Graph S On a coordinate plane, a line goes through points (0, 0) and (1, 2). Rachel says that Graph R has a greater constant of variation than Graph S. Which statement explains whether Rachel is correct? Rachel is correct; Graph S is nonproportional. Rachel is correct; Graph R goes farther along the x-axis. Rachel is not correct; both graphs go through the origin and have the same constant of variation. Rachel is not correct; Graph S is steeper than Graph R.

Answers

Answer:d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:


Please help me I really need help

Answers

Answer:

5

7

9

11

13

Step-by-step explanation:

u just have to plot the x values into the x variable if that makes sense

here is an exampla

which of these consumers might depend on a rabbit for its energy?

a.horse
b.coyote
c.grasshopper
d.cow

Answers

Answer:

coyote

Step-by-step explanation:

Two sides of a triangle are equal in length. The third side of the triangle is 3 more than the equal sides. If the perimeter of the triangle is 48, what is the length of the longest side?

Show work

Answers

Answer:

18

Step-by-step explanation:

The two smaller sides are 15 and the larger one is 18

Answer:

18

Step-by-step explanation:

Let the length of equal sides be x, then the perimeter is:

2x + (x + 3) = 483x + 3 = 483x = 45x = 15

The longest side is:

15 + 3 = 18

Select the correct answer from the drop-down menu.

Find the polynomial.

(-1/3,4} is the solution set of

A. 3x^2-11x+4=0

B. 3x^2-11x-4=0

C. (1/3)x^2-11x-4=0

D. (-1/3)x^2-11x-4=0

Answers

Answer: B.)  3x^2 - 11x - 4 = 0

Step-by-step explanation:


Divide 3.87 x 10 by 6.28 x 10 Express your answer in scientific
notation. Round the coefficient to two decimal places.

Answers

Answer:

oo my god the points are more

Answer:

PLEASE MARK AS BRAINLIEST!!!!

Step-by-step explanation:

DIVISION ANSWER = 0.61624203821

SCIENTIFIC NOTAION =

6.1624203821 × 10-1

(scientific notation)

= 6.1624203821e-1

(scientific e notation)

= 616.24203821 × 10-3

(engineering notation)

(thousandth; prefix milli- (m))

= 0.61624203821

(real number)

I DON'T KNOW HOW TO ROUND THE COEFFICIENT

The weight of body is 420N. calculate its mass.​

Answers

Answer:

mass = 42 kg

Step-by-step explanation:

We know that we have the formula that

W = m * g

Then

given

weight (w) = 420

g = 10 m/s²

then

W = m* g

420 = m * 10

m = 420/10

m = 42 kg

Hope it helps :)

Answer:

Step-by-step explanation: weight = 420N

                                             mass= ?

                                    we know,

                                             weight = mass . acceleration due to gravity

                                             or,  420  = mass . 9.8

                                           therefore mass =  42.85 kg

I WILL GIVE BRAINLIEST

Answers

Answer:

slope = 4/1 or 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Use the slope formula. change in y/change in x. The change in y is 4 because if your subtract the y coordinate 4 from the y coordinate 8, you get 4. The change in x is 1 because if you subtract the x coordinate 2 from the x coordinate 3, you get 1. 4 (change in y)/1 (change in x) is 4. Hope this helps!

someone please im crying please

Answers

Slope-intercept: y=3x/4 -7

Answer:

slope- intercept form:    y=3/4 x -7

point slope form:   y-4=3/4(x+4)

and dang stop crying... hope this helped

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