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AURORKA [14]
2 years ago
7

At the beginning of an environmental study, a forest covered an area of 1500 km. Since then, this area has decreased by 7.25% ea

ch year
Let t be the number of years since the start of the study let y be the area that the forest covers in km?

Write an exponential function showing the relationship between y and t
Mathematics
1 answer:
WITCHER [35]2 years ago
5 0

\qquad \textit{Amount for Exponential Decay} \\\\ y=P(1 - r)^t\qquad \begin{cases} y=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ y=1500(1-0.0725)^t\implies y=1500(0.9275)^t

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ValentinkaMS [17]

Answer:

  4877 fish

Step-by-step explanation:

Each year, the fish population is multiplied by 1-6% = 0.94, so after 8 years it has been multiplied by 0.94^8 ≈ 0.609569.

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6 0
3 years ago
Line c has an equation of y=-3/4x-3. Line d is parallel to line c and passes through the points (-2, -2). What is the equation o
blagie [28]

Answer:

y = \frac{3}{4} x - \frac{7}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{3}{4} x - 3 ← is in slope- intercept form

with slope m = - \frac{3}{4}

Parallel lines have equal slopes , then

y = - \frac{3}{4} x + c ← is the partial equation of line d

to find c substitute (- 2, - 2 ) into the partial equation

- 2 = \frac{3}{2} + c ⇒ c = - 2 - \frac{3}{2} = - \frac{7}{2}

y = - \frac{3}{4} x - \frac{7}{2} ← equation of line d

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2 years ago
The total snowfall in Burke, Virginia, this January was 7 1/4 in. In February, 20% more snow fell than in January.
Elis [28]
I think the answer is 7 2/9
7 0
3 years ago
Read 2 more answers
Am I correct on 12?
lukranit [14]
Yes, HL would be correct.

This states that if two hypotenuses are congruent (they have the same one)

and if one pair of legs are congruent,

the figure is congruent.

I hope this helps!
~cupcake
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3 years ago
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