A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area, decreases by 6%. What is the equation that best represents the area of the forest each year?

Hint: Use the formula y = P(1 + r)x.

y = 2,000(0.94)x
y = 2,000(1.06)x
y = 2,000(0.06)x
y = 2,000(1.94)x

Answers

Answer 1

Answer:

y = 2,000(0.94)x

Step-by-step explanation:

f(x)  =  P (1 + r) ^x  

P = 2000

r = -0.06

f(x)  =  2000 (1 - 0.06)^x

=  2000 (0.94)^x


Related Questions

What is the equation for the Pythagorean Theorem?

Answers

The equation for the Pythagorean Theorem is a^2 + b^2 = c^2

^ = exponent

Since I am willing to take some time from my day to answer your questions, please mark brainiest :))

Input the number of days in a month

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30 days

Give me 5 if it helps

Answer:

The average number is 30.437

Step-by-step explanation:

Express the ratio as a fraction in simplest form. 10 yards to 10 feet

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Answer:

The ratio is 3:1

Step-by-step explanation:

[tex]\frac{10 yards}{10 feet}[/tex]

We know, 1 yard is equal to 3 feet

So, [tex]\frac{10 yards X 3}{10 feet}[/tex] is equal to [tex]\frac{30 feet}{10 feet}[/tex] is equal to 3:1

If you find this solution helpful, please mark brainliest

Last year a popular app was downloaded 2.47 x 10 to the 8th power write the number of time the app was downloaded in standard form.

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Answer:

247,000,000 times

Step-by-step explanation:

Determine the relationship between the two triangles and whether or not they can be proven to be congruent. ​

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Answer:

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

Question 8 of 10
Solve 4x- c= k for x.
A. x= 4(k+ c)
B. x=k-c/4
C. x = 4(k-c)
D. x=k+c/4
SUBMIT

Answers

Answer:

D. x=k+c/4

because:

4x-c= k

4x=k+c

x=k+c/4


pls help this is so harddd for meee

Answers

Answer:

B

Step-by-step explanation:

Tell me if im right

:)

B because its on the y axis and thats what there asking for and its positive

I need help!! I'm not good at science

Answers

Answer:

kk

l will help

we will all learn

together

Light bulbs cost £3.40 each.
Yasmin buys as many as she can with £30.
How much change should she get?
Give your answer in pounds, £.

Answers

Answer:  2.80 pounds

======================================================

Work Shown:

x = number of light bulbs

3.40x = total cost to buy x light bulbs, cost is in pounds

3.40x = 30

x = 30/(3.40)

x = 8.823529 approximately

Rounding down, we get 8

Note that,

3.40*8 = 27.20 pounds which is under budget3.40*9 = 30.60 pounds which is over budget

Therefore, the highest number of bulbs that can be bought is 8.

The change given will be 30-27.20 = 2.80 pounds

You are buying a new camera. The table shows the prices of cameras in a store
advertisement. You are willing to pay the mean price with an absolute deviation of at most
$102.

$890 $750
$650 $370
$660 $670
$450 $650
$725 $825

Your friend helped you with a list of steps to follow so you’ll find how many of the camera
prices meet your condition?
Step 1:
Find the mean of the given data.
(Search for: How to find the mean of a given data set?

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$980 $670 Step-by-step explanation:

Solve for the input variable.
h(x) = –2x + 15 when h(x) = – 45

Answers

-45 = -2x + 15
-60 = -2x
divide by -2
answer is 30

Answer:

-45=-2x+15

-45-15=-2x

-60=2x

x=30

t midnight, a candle was lit. At 15 minutes past midnight, the candle was 4 inches tall, and you notice that it burns at a rate of 0.75 inches per hour.
(a)Write the point–slope form of the function that gives the height of the candle, h, in inches, as a function of time, t, in minutes past midnight, as the candle burns.
(b)When is the candle 1 inch tall?

Answers

Answer:

a)   t-4 = 3 (i - 1/4h) =  h = 3i - 3 3/4h  

= t = -0.75

= h = 4  

b) 3.30am = 1 inch.

Step-by-step explanation:

a)   formula for point slope form = y - y1 = m(x-x1)

a) t-4 = 3(i - 1/4h)  converts to  t-4   = 3i - 3/4h  = t = 3i- 3 3/4

x = - 0.75 y = 4  =     t= -0.75 and h = 4

b) 12.15am = 4 inches

1.15am = 3.25 inches

2.15am = 2.5 inches

3.15am = 1.75inches

3.30 = 1 inches

3.15 + 15mins = 1 inch

Answer:

Step-by-step explanation:

What are the coordinates of Point A (-2,-6) after a rotation 270° Counter Clock-Wise?

Answers

Answer:

(2,-2) or (0,4)

Step-by-step explanation:

Write an equation in slope intercept form for the line perpendicular to y = 2x - 3 that passes through the point (-3, -3)

Answers

Answer:

y=-1/2x-9/2

Step-by-step explanation:

check picture

The equation of the line perpendicular to y = 2x - 3 that passes through the point (-3, -3) is y = (-1/2)x - 9/2 in slope-intercept form.

To find the equation of a line perpendicular to y = 2x - 3, we need to determine the slope of the original line and then find the negative reciprocal of that slope.

The original line has a slope of 2. The negative reciprocal of 2 is -1/2.

Now, we have the slope (-1/2) and the point (-3, -3) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to write the equation of the line:

y - y1 = m(x - x1)

Substituting the values:

y - (-3) = (-1/2)(x - (-3))

y + 3 = (-1/2)(x + 3)

Expanding and simplifying:

y + 3 = (-1/2)x - 3/2

y = (-1/2)x - 3/2 - 3

y = (-1/2)x - 3/2 - 6/2

y = (-1/2)x - 9/2

Therefore, the equation of the line perpendicular to y = 2x - 3 that passes through the point (-3, -3) is y = (-1/2)x - 9/2 in slope-intercept form.

To know more about  slope, here

https://brainly.com/question/16949303

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Point Fis on line segment EG. EG = 100, EF = 4x - 20, and FG = 2x + 30. Write an equation that you would use to solve for x, then state the value of x, and the length
of line segments EF and FG.

Answers

Step-by-step explanation:

Line segment = EG

point on a line segment = F

EG = 100

EF = 4x - 20

FG = 2x + 30

a/q, EF + FG = EG

the equation is

4x - 20 + 2x + 30 = 100

now solution for x is

4x - 20 + 2x + 30 = 100

6x + 10 = 100

6x = 100 - 10 = 90

x = 90/6 = 15

therefore, value of x is 15.

and according to given information

EF = 4x - 20 = 4(15) - 20 = 60 - 20 = 40

FG = 2x + 30 = 2(15) + 30 = 30 + 30 = 60

hope this answer helps you dear..take care and may u have a great day ahead!

What is the slope of the line passing through the points (-3, 4) and (2, - 1)? A -1
B 1
C 3/5
D - 5/3​

Answers

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )

m = [tex]\frac{-1-4}{2-(-3)}[/tex] = [tex]\frac{-5}{2+3}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1 → A

please help me with this

Answers

Answer:

42.5 square units

Step-by-step explanation:

To solve, we can split this shape up into 4 known shapes:

2 unit by 2 unit triangle

2 unit by 2 unit square

2 unit by 5 unit triangle

3.5 unit by 9.0 unit rectangle

Now let's solve these areas:

2 x 2 = 4 / 2 = 2

2 x 2 = 4

2 x 5 = 10 / 2 = 5

3.5 x 9.0 = 31.5

Then add all these values together:

2 + 4 + 5 + 31.5 = 42.5

Đa thức P= 4x^2 -12x+9

Answers

Answer:

kciyyyyfdttftuttdciiiiifffffccccccutyyttttdccccckkff

hcucickkciffiiiiifiyffyysuatyyggHZZ£;YYYYYRRtrTyY56644%55646776-755522#3435%5$$4

The answer would be (2x-3)^2

a sum of money is divided among ethan June way and Raj in the ratio of 5:6:9 after eating gave $50 to his mother the ratio becomes 3:4:6 find the amount of money ethan has after giving $50 to his mother​

Answers

The answer you are looking for is 35

Tell whether the fraction is in the simplest form. Write yes or no

(Please answer all of them in order!!)

4 over 10
2 over 8
3 over 5
4 over 12
6 over 10
3 over 6

Answers

1. No
2.No
3.Yes
4. No
5. Yes
6. No

Answer: 4/10 = 2/5

2/8 = 1/4

3/5 = 3/5

4/12 = 1/3

6/10 = 3/5

3/6 = 1/2

Step-by-step explanation:

4/10 = 2/5

4/10 is not in its simplest form.

Both 4 and 10 can be divided by 2.

Therefore, 4/10 = 2/5

2/8 = 1/4

2/8 is not in its simplest form

2 / 2 = 1

8 / 2 = 4

Both 2 and 8 can be divided by 2, therefore, 2/8 = 1/4

3/5 = 3/5

3/5 is in its simplest form

3 and 5 are prime, so they don’t have any factors other than 1 and itself so they wouldn’t be able to be simplified.

4/12 = 1/3

4/12 is not in its simplest form

4 / 4 = 1

12 / 4 = 3

4 and 12 can be divided by 4, resulting in 1 and 3. Therefore, 4/12 = 1/3.

6/10 = 3/5

6/10 is not in its simplest form

6 / 2 = 3

10 / 2 = 5

6 and 10 can both be divided by 2, resulting in 3/5. Therefore, 6/10 = 3/5

3/6 = 1/2

3/6 is not in its simplest form

3 / 3 = 1

6 / 3 = 2

Both 3 and 6 can be divided by 3, resulting in 1/2

Therefore, 3/6 = 1/2

Short Answers:

4/10 = 2/5

2/8 = 1/4

3/5 = 3/5

4/12 = 1/3

6/10 = 3/5

3/6 = 1/2

(-11, 12),(-4,-9) what is the slope

Answers

Answer:

m = -21 / 7 = -3 / 1 = -3

Step-by-step explanation:

i think im not sure but i hope it helps and good luck!

Which ones are functions?

Answers

Answer:

1 and 4

Step-by-step explanation:

All the other options have corresponding x-values

Answer:

The first and fourth options

Step-by-step explanation:

If it's a function no input and have more than one output.

Joseph owes his mother $12.25. He borrows $6.50 more from his mother. Which of the following best represents Joseph's debt to his mother?

Answers

12.25 + 6.50 = 18.75

Answer:

18.75.

Step-by-step explanation:

If he already owes his mother 12.25 and borrows 6.50, we can add those numbers up to get the total amount of how much he owes his mother.

12.25 + 6.50 = 18.75

Therefore, Joseph's debt to his mother can be represented using the equation above.

A music store originally purchased a piano at a cost of $892.03 and marked it up 125%. After a few weeks, however, the store discounted the piano 50% in order to make room for new merchandise. What was the discounted price?

Answers

Answer:

$557.52

Step-by-step explanation:

1. Find the marked up price.

125% = 1.25

$892.03 x 1.25 = $1,115.04

2. Find the discounted price.

50% = 0.5

$1,115.04 x 0.5 = $557.52

Answer:

1003.54

Step-by-step explanation:

Hope this helps! ;)

What is the change of 3 to -8

Last question sorry

Answers

The change of 3 to 8 is 12

find the point of the line segment joining the points (-2,-1) and (-10,4)

(type an ordered pair)

the midpoint is ____​

Answers

Answer:

( - 6, 1.5 )

Step-by-step explanation:

( x1, y1 ) = ( - 2, - 1 )

Here,

x1 = - 2

y1 = - 1

( x2, y2 ) = ( - 10, 4 )

Here,

x2 = - 10

y2 = 4

Formula : -

Mid - point = ( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Mid - point = ( - 2 - 10 ) / 2, ( - 1 + 4 ) / 2

                  = - 12 / 2, 3 / 2

Mid - point = ( - 6, 1.5 )


Including a 5% sales tax, an inn charges $189 per night. Find the inn's nightly cost before the tax is added.

Answers

The nightly cost is $18 per night
18 per night the cost

In the example function, could one side length ever
produce two different perimeters? Explain.

Answers

Answer:

no

Step-by-step explanation:

Use the polygon tool to draw a right triangle with hypotenuse AB?​

Answers

Answer:

in the -1,-1

Step-by-step explanation:

Evaluate:
bx(b – X) – b if b=5 and x = 3

Answers

Basically replace the letters in the equation with their corresponding numbers and then solve the equation like normal. (Replace b with 5, since b=5) (replace x with 3, since c=3)
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