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Burka [1]
1 year ago
14

A certain forest covers an area of 2000 km2. Suppose that each year this area decreases by 4.75%. What will the area be after 7

years?Use the calculator provided and round your answer to the nearest square kilometer.
Mathematics
1 answer:
klasskru [66]1 year ago
7 0

SOLUTION

The given area of the forest is 2000 square kilometers

The rate of decrease is given as 4.75%

The given time is 7 years

The formula for decay is

y=a(1-r)^t

Substituting values gives

y=2000(1-0.0475)^7

Solve for y

\begin{gathered} y=2000(0.7113) \\ y=1423 \end{gathered}

Therefore the new area of the forest is 1423 square meters.

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What is an equation of the line that passes through the points (-6, -2) and
den301095 [7]

Answer:

The equation of line is: \mathbf{4x-3y=-18}

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-6,y_1=-2, x_2=-3, y_2=2

Putting values and finding slope

Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}

So, we get slope: m=\frac{4}{3}

Finding y-intercept

Using point (-6,-2) and slope m=\frac{4}{3} we can find y-intercept

y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope m=\frac{4}{3} and y-intercept b = 6 is

y=mx+b\\y=\frac{4}{3}x+6

Now transforming in fully reduced form:

y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18

So, the equation of line is: \mathbf{4x-3y=-18}

6 0
2 years ago
Which of the following is not a way of generating random numbers? A. random number tables B. using phone numbers selected at ran
tino4ka555 [31]

Answer:

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B: PHONE NUMBERS: well phone numbers are random so X out

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D: books of random numbers: X out

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7 0
3 years ago
ANY JESUS HELPERS PLEASE HELP The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below: Step 1: 2(y + 4
wariber [46]

Answer:

2 should be distributed as 2y + 8; y = 4

Step-by-step explanation:

2(y + 4) = 4y

Distribute

2y + 8 = 4y

Step 2 is incorrect because the added instead of multiplied

Continuing on to correct the problem

Subtract 2y from each side

2y+8-2y = 4y-2y

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3 0
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How do you add and subtract polynomials?
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Reverse the sign of each term you are subtracting and then add as usual. Hope this helps!

4 0
3 years ago
The area of a circle is 28.26 square meters. What is the circle's diameter?
ikadub [295]

Answer: area for circle is  πr² so πr² =28.26 and we can sub 3.14 as pi

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then we root both sides to get r on it's own

28.26/3.14=9 √9=3

and the diameter is double the radius 3*2=6 so the diameter is 6

Step-by-step explanation:

7 0
3 years ago
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