The function P(t)=25,000(1.1023)t2 can be used to model the population in the town of Madison t years from now. Interpret the function in terms of the context for this situation.

Answers

Answer 1

Answer:

A growth function has the following form.

where  = Original amount,

r = annual rate of change,

n = number of periods,

t = time in years

Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days.  

So in this case, n = 365, r = 0.0095.

Then the function is rewritten as follows.

The daily growth rate would be  

Step-by-step explanation:

Answer 2
t=number of years

Lets find year wise population for example

let years be 3t=3

[tex]\\ \sf{:}\longrightarrow P(3)=25,000(1.1023)3^2[/tex]

[tex]\\ \sf{:}\longrightarrow P(3)=27557.5(9)[/tex]

[tex]\\ \sf{:}\longrightarrow P(3)=248017.5[/tex]


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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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What was the price yesterday?

Answers

Answer: yesterdays price was $700

Step-by-step explanation:

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Answers

Answer:

a. 18

Step-by-step explanation:

a= 2

b= 3

[tex]ab^{2} =(2)(3)^{2} =2(9)=18[/tex]

Hope this helps

a=2

b=3

Now

a*b=ab²2*3=2(3)²2*3=2(9)2*3=18


Woodbury Middle School has 270 girls and Valley Middle School has 206 girls. Which school has
a greater percentage of girls? Determine the percentage for each school.

Answers

Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.

Given that Woodbury Middle School has 270 girls and Valley Middle School has 206 girls, to determine which school has a greater percentage of girls, the following calculation must be performed:

270 + 206 = 476 476 = 100 270 = X 270 x 100/476 = X 56.72 = X

Therefore, Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.

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if there is 26.5 g of sugar in 250ml, how much in 200 ml

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There are exactly 21.2 grams in the 200 milliliters of sugar. Hope this helps!

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Answers

Answer:

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Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Your expression can be simplified as follows:

  [tex]\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}[/tex]

_____

Additional comment

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

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Consider division:

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Step-by-step explanation:?

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Answer:

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Step-by-step explanation:

A.

For lines p and q, angles 2 and 3 are corresponding angles, so A is true.

B.

Angles 5 and 7 hare note corresponding angles or alternate interior angles.  B is false.

C.

For lines r and s, angles 2 and 4 are corresponding angles, so C is true.

D.

For lines r and s, angles 5 and 6 are alternate interior angles, so D. is true.

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Step-by-step explanation:

There can be an infinite number of lines joining radii to the center. If we are placing 2 radii end-to-ending a circle, then we would have the same length as the diameter. Thus the diameter of the circle is twice as long as the radius. So, infinitely many diameters can be formed in the circle.

I got it from Goog|e, I hope it helps.

Answer:

"Only a limited number of radii can be drawn in a circle"

Step-by-step explanation:

A circles radii is the distance between the center of a circle(It only has one) to the edge of the circle. There is only one radii in a circle. And a circle only has one diameter.

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What measure is the third angle?

Answers

Step-by-step explanation:

So,Let Angle 1 be x, Angle 2 be 2x, Angle 3 be 6x...

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Angle 1 + Angle 2 + Angle 3 = 180°

( Sum of all angles of the triangle)

x + 2x +6x = 180°

x + 8x = 180°

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:

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Step-by-step explanation:

that creates 2 similar triangles.

that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

so,

3.5 × f = 14

f = 14/3.5 = 4

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5 × 4 = 20 ft

the bird house is 20 ft high.

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Step-by-step explanation:

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