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goldenfox [79]
3 years ago
7

A population of 5000 people doubles in size every 10 years. Determine the population

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0

Answer: A quantity grows exponentially when its increase is proportional to what is already there. A common example is compound interest, where $100 invested at 7% per year annual compound interest will double in 10 years. Similarly, if a population grows at 7% per year, it, too, will double in 10 years.

Step-by-step explanation:

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Use the functions h(x) = 2x - 5 and t(x) = 6x + 4 to complete the function operations listed below.
Rom4ik [11]

Answer:

See below for answers (in bold) and explanations

Step-by-step explanation:

Part A: (h+t)(x) = h(x) + t(x) = (2x-5) + (6x+4) = 2x - 5 + 6x + 4 = 8x - 1

Part B: (h*t)(x) = h(x) * t(x) = (2x-5) * (6x+4) = (2x)(6x) + (2x)(4) + (-5)(6x) + (-5)(4) = 12x² + 8x - 30x - 20 = 12x² - 22x - 20

Part C: h(t(x)) = h(6x + 4) = 2(6x + 4) - 5 = 12x + 8 - 5 = 12x + 3

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3 years ago
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The price of a pair of pants is $29.95 and the sales tax is 5%.
kupik [55]
$30. The tax is 5 cents. 
8 0
3 years ago
The graph of the function B is shown below. find B(1).
Furkat [3]

Answer:

B(1) = 2

Step-by-step explanation:

Function B(x), according to the graph, which point has an x-value of 1? Point (1, 2). So the solution is 2.

4 0
3 years ago
The length of a rectangle is five more than the width. The perimeter is 130cm. What is the area?
Evgen [1.6K]
<h2>Greetings!</h2>

Answer:

≅ 586.8

Step-by-step explanation:

Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.

The total perimeter is:

(2 * x) + (2 * 5x) because each side has another parallel one.

This means that 2x + 10x = 130

12x = 130

Divide both sides by 12:

\frac{12x}{12} = \frac{130}{12}

x = \frac{65}{6}

So the area = length * width

x * 5x = area

Substitute the values in:

\frac{65}{6} * (5*\frac{65}{6}) = 586.8055... ≅ 586.8

So the approximate area is 586.8


<h2>Hope this helps!</h2>
5 0
3 years ago
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