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aliya0001 [1]
2 years ago
15

Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has d

eclined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.
Mathematics
1 answer:
alekssr [168]2 years ago
3 0

If the initial population is 3800. Then the population of the cockroach after 3 years will be 1603.

<h3>What is exponential growth or decay function?</h3>

Consider the function:

y = a(1 ± r)ⁿ

where n is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or r%.

If there is a minus sign, then there is exponential decay happening by r fraction or r%.

Colette has an exterminator visit regularly to control an ongoing cockroach problem.

It's been working, and the population has declined by 15% every year.

If the population is currently 3,800 cockroaches.

The expression is given as

y = 3800(0.75)ⁿ

Then the population of the cockroach after 3 years will be

y = 3800(0.75)³

y = 3800 x 0.4218

y = 1603.125

y ≅ 1603

Learn more about exponential growth and decay here:

brainly.com/question/2193820

#SPJ1

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mojhsa [17]
Answer: 100 3 digit even number that begin with either 5 or 6

Explanation:
Case 1:
A 3 digit that begin with 5 should be 500-599 so there are 100 numbers
But we are only finding even number
So 100/2 = 50 3-digit even number that begin with 5.

Case 2:
A 3 digit that begin 6 should have
600-699 and there are also 100 number including even and odd in total. Since we are only finding even number we get:
100/2 = 50 3-digit even number that begin with 6.

Plus both case together we get 50 3-digit even number that begin with 5 + 50 3-digit even number that begin with 6= 50 + 50 = 100
8 0
4 years ago
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How large is one side of the square garden plot
Elina [12.6K]

Given - Length of the Rectangular Plot : 16 meters

Given - Width of the Rectangular Plot : 4 meters

We know that - Area of a Rectangle is given by : Length × Width

:\implies  Area of the Rectangular plot = (16 × 4) m²

:\implies  Area of the Rectangular plot = 64 m²

Given : Square plot and Rectangular plot have same Area

:\implies  Area of Rectangular plot = Area of Square plot

:\implies  Area of Square plot = 64 m²

We know that - Area of Square is given by : Side × Side

:\implies  Side × Side = 64 m²

:\implies  S² = 64 m²

:\implies  S² = 8² m²

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6 0
3 years ago
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Which expression uses the commutative property to make it easier to evaluate
Basile [38]

Let's begin by listing out the given information:

The commutative property states that for addition, the order in which we add numbers does not change their sum & for multiplication, the order in which we multiply does not change their product.

Mathematically expressed as:

\begin{gathered} x+y+z=y+z+x \\ x\cdot y\cdot z=y\cdot z\cdot x \end{gathered}

Therefore, the commutative property of this is:

\begin{gathered} \frac{4}{3}\cdot\frac{1}{5}\cdot18=\frac{4}{3}\cdot18\cdot\frac{1}{5} \\ \Rightarrow\frac{4}{3}\cdot18\cdot\frac{1}{5} \\  \end{gathered}

Therefore, Option D is the correct answer

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2 years ago
Solve with completing the square method:<br>6x²-7x+2=0 and  ax²+bx+c=0
Norma-Jean [14]
6x ^2-7x+2=0\\ \\ a=6 , \ b = -7 , \ c=2 \\ \\\Delta = b^{2}-4ac = (-7)^{2}-4*6*2=49-48=1 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{7-\sqrt{1}}{2*6}=\frac{7-1}{12} =\frac{6}{12}= \frac{1}{ 2}\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{7+\sqrt{1}}{2*6}=\frac{7+1}{12} =\frac{8}{12}= \frac{2}{ 3}


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4 years ago
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The radius is the distance from the center of the penny to the edge of the penny.

The distance around the edge of the penny is the perimeter 
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