plzz helpp guys
At the beginning of an environmental study, a forest covered an area of 1500 km . Since then, this area has decreased by 2.4% each year. Lett be the number of years since the start of the study. Let y be the area that the forest covers in km². Write an exponential function showing the relationship between y and t.​

Answers

Answer 1

Answer:

[tex]y = 1500(0.024)^t[/tex]

Step-by-step explanation:

Given

[tex]a = 1500km[/tex] -- initial area

[tex]b = 2.4\%[/tex] -- rate

[tex]t = time[/tex] --- (years)

Required

Represent as an exponential function

An exponential function has the form:

[tex]y = ab^t[/tex]

Where

[tex]a = initial\ value[/tex]

[tex]b = rate[/tex] and [tex]b \ne 1[/tex]

[tex]t= time[/tex]

Substitute values for a and b, we have:

[tex]y = 1500 * (2.4\%)^t[/tex]

Convert percentage to decimal

[tex]y = 1500 * (0.024)^t[/tex]

[tex]y = 1500(0.024)^t[/tex]

Hence, the exponential function that represents the scenario is: [tex]y = 1500(0.024)^t[/tex]


Related Questions

What are the coordinates for point A?
THIS IS A TEST SO PLS ANSWER CORRECTLY

Answers

Answer:

(4,-2)

Step-by-step explanation:

Your answer to this question will be D :)

100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.

Answers

Answer:

x = 29

Step-by-step explanation:

The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding

Corresponding angles sum to 180

(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29

Solve the equation for y. y-x=5

Answers

y - x = 5

y = x + 5

Hope this helps! :)

Answer:

Hi! The correct answer is y=5+x!

Step-by-step explanation:

~Add x to both sides of the equation~

What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6

Answers

Answer:

6:8:10:12

Step-by-step explanation:

Scale factor of 2-

3:4:5:6

multiply each number by 2

6:8:10:12

The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?

Answers

Answer:82feet tall

Step-by-step explanation:

help me please quickly

Answers

Answer:

(1)  4

Step-by-step explanation:

Isolate x.

[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3

x - 2 = 2

x = 2 + 2

x = 4

Select the equation that is true.

Answers

Answer:

you didnt attach anything

Step-by-step explanation:

Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.

Answers

Answer:

12x+20

Step-by-step explanation:

Perimeter of a garden = 4s, s being the length of the side

In this case, s = 3x+5

substitute the equation

4(3x+5)

=12x+20

Write an equation for the line in standard form

Answers

Answer:

The equation of the line in standard form is y = -1/2·x - 3

Step-by-step explanation:

From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;

(-4, -1), (-2, -2), and (2, -4)

The slope, m, of the graph is given as follow;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, by substituting the values of the coordinates for two known points, we have;

[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]

The slope of the graph, m = -1/2

The equation of the graph on point and slope form is given as follows;

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

y = -x/2 + 1 - 4 = -x/2 - 3

The equation of the line in standard form, y = m·x + c  is y = -1/2·x - 3.


When factored completely, x3+ 3x2 - 4x-12 equals?

Answers

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Dont know the full thing but hope some of this helps!

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

plzzzzzz i will give u a thank u and 5 stars

Answers

Answer:

the answer is 440 square inches.

you just have to multiply all the numbers.

Answer:

B. 440 square inches

Step-by-step explanation:

all you have to do multiply 5x8x11 = 440

Complete the sentences to explain how to multiply 4.56 x 1,000

Answers

Answer 4560

Step-by-step explanation:

Take 1,000 over 4.56 and mutiply  6 times all the zeros wich gets

Take 6 times 1 and thats 6

And repeat that until you run out of dights which in this case is just 4.56

11 (9+ d)
simplify

help me pleas

Answers

Answer:

it issss 99+11d :)

Step-by-step explanation:

hope I helped

Answer:

99 + 11d

Step-by-step explanation:

11(9+d)

distribute the 11 into the ( )

99 + 11d

Hope this Helps!!!

Cpm homework 8.1.1 problems 8-5, 8-6, 8-7, 8-9 I can’t find the answers nowhere and it’s so hard I need to show answers.

Answers

8-6a. 110
8-6b. 20
8-6c. 48
8-6d. 108
8-7 C and H are not polygon, the rest are all polygon

The solutions are,

8-6a. 110

8-6b. 20

8-6c. 48

8-6d. 108

8-7 C and H are not polygon, the rest are all polygon

The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

What is Area ?

Area is the space occupied by a two dimensional object,

The area and perimeter of the given shape can be determined by dividing it into basic shapes.

here, we have,

The area and the perimeter of the shape given

= Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom

Area of rectangle = 5 mi * 9 mi = 45 sq.mi

Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi

Area of small Triangle = (1/2) * 3*6 = 9 sq.mi

Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi

Area of the figure = 45 +13.5 -9-4.5

Area of the figure =  45 sq.mi

Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom

Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486

Perimeter = 23.5354 mi

Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

To know more about Area

brainly.com/question/27683633

#SPJ2

expand and simplify (x-4)(x-1)

Answers

Step-by-step explanation:

(x - 4)(x - 1)

= x² - x - 4x + 4

= x² - 5x + 4.

Answer:

[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]

(x^2-5x+4) is the right answer.

find the value of x in each of the given triangles.​

Answers

Answer:

7.5

Step-by-step explanation:

10x + 8x + 6x = 180°

24x = 180°

x = 180°÷24

× = 7.5

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP

Answers

Answer:

1. 5

2. [tex]\sqrt{85}[/tex]

3. [tex]\sqrt{26}[/tex]

Step-by-step explanation:

1. just count the units: 5 units

2. Find the slope = rise/run = -7/6

you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)

use the pythagorean theorem to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]7^{2} + 6^{2} = c^{2}[/tex]

49 + 36 = [tex]c^{2}[/tex]

85 = [tex]c^{2}[/tex]

[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]

[tex]\sqrt{85} = c[/tex]

Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.

3. same process as 2

slope = -1/5

[tex]1^{2} + 5^{2} = c^{2}[/tex]

1 + 25 = [tex]c^{2}[/tex]

26 = [tex]c^{2}[/tex]

[tex]\sqrt{26} = c[/tex]

That is the farthest it can go, so that will be the answer.

95% of 15
i need help

Answers

Answer:

14.25

Step-by-step explanation:

im sorry im bad at explaning

List 4 true angle facts about the illustration created by
AD intersects FK at point M.

Answers

Acute angles are less than 90 , right angles are 90 , straight lines are 180

Find the value of "c". 4c + 18 = 74 *​

Answers

[tex]4c \: + 18 = 74[/tex]

[tex] \implies \: 4c = 74 - 18[/tex]

[tex] \implies \: 4c = 56[/tex]

[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]

[tex] \implies \: c = 14[/tex]

The value of c is 14 .

Answer:

14

Step-by-step explanation:

move all terms that don't contain c then solve.

Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?

Answers

Answer:

m=10

w=15

Step-by-step explanation:

m + w = 25

3m + 4w = 90

Let's do substitution, first by solving the first equation for m.

m = 25 - w

Substitute!

3(25 - w) + 4w = 90

75 - 3w + 4w = 90

w = 15

m = 25 - 15 = 10

Suppose that a​ person's peak blood alcohol level is0.04 ​(grams per 100​ mL) and that this level decreases by 20​% each hour.

Answers

I think cus she said she was she she she

Answer:

Step-by-step explanation:

incomplete question

Convert 4pi/5 to degrees.

Answers

Answer:

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .

Answer:

144∘

Step-by-step explanation:

4π5⋅180∘π=144∘

A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?


(Please help)

Answers

Answer: 3 1/2

Step-by-step explanation:

Yes

Answer:3 1/2

Step-by-step explanation:

What is the domain of this relation?

Answers

Answer:

{-3, 3, 5, 9}

Step-by-step explanation:

The domain is simply the inputs (x) used in the function.

Answer:

{-3,3,5,9} this is answer

I need to find the resultant matrix

Answers

the answers are there

i hope it will help you

k - 873 = -695
What is the answer

Answers

Answer:

k= -1,568

Step-by-step explanation:

I am pretty sure this is the answer if not I am soo sorry

Answer:

178 is the answer......

Look at the image bel9w

Answers

Answer:

it's your answer

Step-by-step explanation:

60+5(6÷2)

60+30÷10

60+3

63

18+(10-6)square

18+(100-36)

18+64

82

Marco wants to buy a new smartphone that costs $495. He has already saved $75. Write and solve an inequality to find the least amount of money,
m, that Marco still needs to save before he can buy the smartphone. Enter your answer in the box
Marco needs to save at least $

Answers

Answer:

495-75=420 so

(−10,7)∪(7,11)(−1,2)∪(−4,0)[−1,9)∪(2,10]

Step-by-step explanation:

420 is that Marco still needs to save before he can buy the smartphone.

Here's a screenshot of the answer below:

How many solutions does this system have?

y = 5 x minus 1. y = negative 3 x + 7.

no solutions
one unique solution
two solutions
an infinite number of solutions

Answers

Answer:

One

Step-by-step explanation:

There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.

What is a system of equations?

A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.

A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.

y = 5x - 1

y = 3x + 7

5x - 1 = 3x + 7

2x = 8

x = 4

y = 19

Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.

To know more about the system of equations follow

https://brainly.com/question/25976025

#SPJ6

Other Questions
please simplify 5(x-1) Giving braiinliest to best answer anything helps im really tired Find the preposition in the sentence. 2) la escuela est al lado delporque.3) Alrededor de las flores hayabejas.4) Dej mi libro en la casa5) Juana escuch a alguiencaminando detrs de ella.6) i Mira para arriba- es un quila!7) Tus rganos estn detrs detas costillas8) El perro est fuera del patio.a Hay un venado entre esos rboles,10) Tenemos flores en frente de nuestraCasa, What are somepossible results ofbase-pair substitutions? Please helpRegroup and write your answer in simplest form What is the slope of the line that passes through the points (5, -10) and (-3,-10)? Write your answer in simplest form. 3,500 divided by what =70 Element X has two naturally occurring isotopes, 65X (isotopic mass 65.0457 amu, abundance 20.53%) and 67X (isotopic mass 66.9704 amu, abundance 79.47%). Calculate the atomic mass of element X. 0.002 inches0.202 inches0.022 inches0.02 inchesWhich of the following shows these amounts in order from LEAST to GREATEST? please help me i really need help please help me please pick a character from your favorite television show, movie, or book. write a sentence that describes three things that the character does. be sure that your three things have correct parallel structure. 4. Manuel, a son of a school janitor, does not ask for more. He has a dailyallowance of P10 a day which is 20% of his classmate's daily allowance. Howmuch is his classmate's daily allowance?5. Carla, a grade six pupil, has 24 sheets of art paper for his project in Math. If 6sheets of art paper were used by Carla, what percent of the sheets of art paperdid she use? Select the correct answer from the drop-down menu.Which transitional words or phrases best complete the passage?Fantasy FictionFantasy fiction is a popular genre of fiction. Writers of fantasy fiction are often inspired by magical and mythical sources. Most story settings are elaborate and completely imaginary.Authors of all genres have written fantasy fiction. , a lot of childrens books belong to the fantasy fiction genre. Many childrens authors prefer writing fantasy fiction because it appeals to their readers imagination., this doesnt mean that fantasy fiction appeals only to children. Many adults enjoy stories that are considered childrens books. The Lord of the Rings by J.R.R. Tolkien and the Percy Jackson series by Rick Riordan are fantasy fiction novels enjoyed by children and adults alike.Fantasy fiction gives writers the freedom to turn away from the real world and completely rely on their imaginations. Many readers are drawn to this genre of fiction because it gives them a pleasant break from the real world. , who wouldnt want to jump into a world in which anything is possible? If f(x) = 2x + 3, what is f(-2)? this due tomorrow please help!!!! determine the slope .................... Select all things that dialect can reveal: A.appearance B.intellect C. time period D.location Which statement below is not part of the cell theory? a. All living things have many cells b All living things are made of one or more cells c cells are the basic unit of structure and function in living things d All cells come from other cells Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed. Angle Relationships