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Bezzdna [24]
2 years ago
12

Find X and y 12, 16

Mathematics
1 answer:
zavuch27 [327]2 years ago
8 0

Answer:

  • x = 6√2
  • y = 6√6

Step-by-step explanation:

The triangles are all similar, so corresponding sides are proportional.

__

<h3>x</h3>

  long side/short side = x/6 = 12/x

  x² = 72 . . . . . . . multiply by 6x

  x = 6√2 . . . . . . take the square root

__

<h3>y</h3>

  hypotenuse/long side = y/12 = (12+6)/y

  y² = 216 . . . . . multiply by 12y

  y = 6√6 . . . . . take the square root

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The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
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Answer:

Find out the what function equation represents the population of the city after t years .

To prove

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

This can be represented by exponential decreasing function.

f(t) = a (1 - r)^{t}

Where a is the initial value.

r is the rate in decimal form

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Here

a = 451,400

3.2 % is written in the decimal form.

= \frac{3.2}{100}

= 0.032

Put in the formula

f(t) = 451400 (1 - 0.032)^{t}

f(t) = 451400 (0.968)^{t}

Therefore the decrease in the population of the city after t years is represented by

f(t) = 451400 (0.968)^{t}



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