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Cerrena [4.2K]
2 years ago
10

A town has a population of 12000 and grows at 5% every year. What will be the population after 12 years, to the nearest whole nu

mber?
Mathematics
1 answer:
Marizza181 [45]2 years ago
5 0

Answer:

  21,550

Step-by-step explanation:

An increase of 5% means the population is multiplied by 100% +5% = 1.05. This occurs each year for 12 years, so the multiplier is ...

  1.05¹² ≈ 1.7958563

When the initial population is multiplied by this factor, it becomes ...

  12,000×1.7958563 ≈ 21,550

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HELP. John his a fish tank at home. The tank is rectangular in shape and has a volume of 192 cubic feet ifitis 6 long and 4 feet
Levart [38]

Answer:

B

Step-by-step explanation:

We need to find a answer that multiplies with 4 and 6 to 192.

4 x 6 x 9 doesn't equal 192     (It equals 216)

4 x 6 x 8 does equal 192

4 x 6 x 12 doesn't equal 192      (It equals 288)

4 x 6 x 48 doesn't equal 192      (It equals 1152)

8 0
2 years ago
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2 years ago
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In a student body, 50% use Google Chrome, 9% use Internet Explorer, 10% Firefox, 5% Mozilla, and the rest use Safari. In a group
Likurg_2 [28]

Answer:

The probability that exactly 1 student is using Internet Explorer and at least 3 students are using Chrome is 0.1350.

Step-by-step explanation:

Denote the events as follows:

<em>C</em> = a student uses Google chrome

<em>E</em> = a student uses Internet explorer

<em>F</em> = a student uses Firefox

<em>M</em> = a student uses Mozilla

<em>S</em> = a student uses Safari

Given:

P (C) = 0.50

P (E) = 0.09

P (F) = 0.10

P (M) = 0.05

P (S) = 0.26

A sample of <em>n</em> = 5 students is selected.

The probability that exactly 1 student is using Internet Explorer and at least 3 students are using Chrome is:

P (E = 1 ∩ C ≥ 3) = P (E = 1 ∩ C = 3) + P (E = 1 ∩ C = 4) - P (E = 1 ∩ C = 5)

The probability distribution of a student using any of the browser is Binomial.

Compute the probability that exactly 1 student is using Internet Explorer and at least 3 students are using Chrome as follows:

P (E = 1 ∩ C ≥ 3) = P (E = 1 ∩ C = 3) + P (E = 1 ∩ C = 4) - P (E = 1 ∩ C = 5)

                          = P (E = 1) [P (C = 3) + P (C = 4) - P (C = 5)]

       ={5\choose 1}(0.09)^{1}(1-0.09)^{5-1}[{5\choose 3}(0.50)^{3}(1-0.50)^{5-3}+{5\choose 4}(0.50)^{4}(1-0.50)^{5-4}\\-{5\choose 5}(0.50)^{5}(1-0.50)^{5-5}]\\=0.3086[0.3125+0.1563-0.0313]\\=0.3086\times 0.4375\\=0.1350

Thus, the probability that exactly 1 student is using Internet Explorer and at least 3 students are using Chrome is 0.1350.

5 0
3 years ago
The length of a rectangle is one more than twice its width. If the perimeter of the rectangle is 98 inches, what are the dimensi
beks73 [17]
Let width = x

length = 2x + 1

perimeter = 2 (L) + 2 (W)

98 = 2 (x) + 2 (2x + 1)
98 = 2x + 4x + 2
98 = 6x + 2
96 = 6x
96/6 = x
16 = x

width = 16 in

length = 2x + 1 = 2 (16) + 1 = 33 in
7 0
3 years ago
Suppose an amount increase by 100%, then decreases by 100%
shepuryov [24]
The first situation would be 0 but if it was 150% there would be no change because your multiplying 0 by 150% so no the situation would not change 
6 0
3 years ago
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