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Anuta_ua [19.1K]
2 years ago
6

Land is decreasing at a rate o 17.3 annually. In 2016 there was 3,400 acres. If t represents the number of years since 2016.

Mathematics
1 answer:
Damm [24]2 years ago
4 0

The equation that can be used to determine after how many years the town will have of 900 acres of undeveloped land is 900 = 3400 * (0.827)^t

<h3>Estimate the equation that can be used to determine after how many years the town will have of 900 acres of undeveloped land</h3>

From the question, the given parameters are:

Initial value = 3400 acres

Rate, r = 17.3%

Final value = 900

An exponential function is represented using the following equation

y = a(1 - r)^t

Substitute the known values in the above equation

y = 3400 * (1 -17.3%)^t

Express 17.3% as decimal

y = 3400 * (1 -0.173)^t

Evaluate the difference

y = 3400 * (0.827)^t

Recall that:

Final value = 900

So, we have

900 = 3400 * (0.827)^t

Hence, the equation that can be used to determine after how many years the town will have of 900 acres of undeveloped land is 900 = 3400 * (0.827)^t

Read more about exponential functions at:

brainly.com/question/11464095

#SPJ1

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Here are some letters and what they represent. All costs are in dollars. m represents the cost of a main dish. n represents the
k0ka [10]

The given question is incomplete

Here are some letters and what they represent. All costs are in dollars.

m represents the cost of a main dish.

n represents the number of side dishes.

s represents the cost of a side dish.

t represents the total cost of a meal.

Discuss with a partner: What does each equation mean in this situation? a. a.  m = 7.50

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t = 3m -n(s+1)

Step-by-step explanation:

Using the information we can describe the value of each letters

using a and b

  • we have m = 7.50
  • and  m = s + 4.50

        7.50 = s + 4.50

         s = 3

substitute s in c, we get

  • ns =  6
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using equation d we have

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so we an equation using the above data

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3 years ago
A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?
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We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

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Plug in n = 12 and r = 9

       =\frac{12!}{9!\left(12-9\right)!}

       =\frac{12!}{9!\cdot \:3!}

       =\frac{12\cdot \:11\cdot \:10}{3!}            ∵ \frac{12!}{9!}=12\cdot \:11\cdot \:10

       =\frac{1320}{6}                   ∵ 3!\:=\:3\times 2\times 1=6

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Thus, the probability will be:

P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}

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Thus, the probability of the coin landing tails up exactly nine times will be:

P\left(E\right)=\frac{55}{1024}

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3 years ago
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pshichka [43]

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