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Arte-miy333 [17]
3 years ago
9

Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula P = Ae*

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

we can translate the given data into two points: 
(0, 145 million) and (10, 190 million)Substituting to the equation P = Ae^kt, then145 million  = A e ^ k* 0A = 53342518.97 Also, 190 million = 53342518.97* e^k^10k = 0.127
When t is equal to 20, thenP = 53342518.97 e^ 0.127*20p = 676 million 
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Archy [21]

Using the quadratic formula, the solutions are:

a) x = \frac{3 \pm \sqrt{41}}{4}

b) x = 1 \pm 2i

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

x_1 = \frac{-b + \sqrt{\Delta}}{2a}

x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

Item a:

The coefficients are a = 2, b = -3, c = -4, hence:

  • \Delta = (-3)^2 - 4(2)(-4) = 41
  • x_1 = \frac{3 + \sqrt{41}}{4}
  • x_2 = \frac{3 - \sqrt{41}}{4}

Item b:

The coefficients are a = 1, b = 2, c = 2, hence:

  • \Delta = (2)^2 - 4(1)(2) = -4
  • x_1 = \frac{2 + \sqrt{-4}}{2} = 1 + 2i
  • x_2 = \frac{2 - \sqrt{-4}}{2} = 1 - 2i

More can be learned about quadratic equations at brainly.com/question/24737967

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lys-0071 [83]
It isn't.

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27.93
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