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madreJ [45]
3 years ago
15

The population of a town is 132,00. The population increases 4% a year. What will be the population in 8 years?

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

9514 1404 393

Answer:

  180,651

Step-by-step explanation:

Each year, the population is multiplied by the factor 1 + 4% = 1.04. After 8 years, it will have been multiplied by that factor 8 times. We indicate repeated multiplication like that using an exponent.

  population in 8 years = 132,000 × 1.04^8 ≈ 180,651

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Together, Dien and Jane can eat 2/3 of a pizza in 4 seconds. How long would it take each of them to eat the whole pizza alone if
Nezavi [6.7K]

Answer:

  • Dien - 15 seconds, Jane - 10 seconds

Step-by-step explanation:

<u>Together:</u>

  • 2/3 of pizza ⇒ 4 seconds
  • Full pizza ⇒ 4 ÷ 2/3 = 6 seconds

Dien needs  x seconds to eat pizza

Jane needs  x - 5 seconds to eat pizza

<u><em>In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza</em></u>

  • 1/x + 1/(x - 5) = 1/6
  • x(x - 5) = 6(x + x - 5)
  • x² - 5x - 12x + 30 = 0
  • x² - 17x + 30 = 0
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Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds

5 0
3 years ago
Please help it’s geometry will mark brainliest!
Dima020 [189]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Use completing the square to solve this quadratic equation.
borishaifa [10]

Step-by-step explanation:

x² + 6x + 9 = 2

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x + 3 = ±sqrt(2)

x = -3 ± sqrt(2)

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control :

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9 + 2 - 6sqrt(2) - 18 + 6sqrt(2) + 9 = 2

2 = 2

correct

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9 + 2 + 6sqrt(2) - 18 - 6sqrt(2) + 9 = 2

2 = 2

correct

(3 + sqrt(2))² + 6(3 + sqrt(2)) + 9 = 2

9 + 2 + 6sqrt(2) + 18 + 6sqrt(2) + 9 = 2

38 + 12sqrt(2) = 2

wrong.

(3 - sqrt(2))² + 6(3 - sqrt(2)) + 9 = 2

9 + 2 - 6sqrt(2) + 18 - 6sqrt(2) + 9 = 2

38 - 12sqrt(2) = 2

wrong.

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3 years ago
What is -(2×7)+(4g×9a)
kotykmax [81]
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4 years ago
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FinnZ [79.3K]
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