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3 years ago

The population of Oak is increasing at a rate of 2% per year. If the population is 64,242 what will it be in three years answer

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

4 0

Answer: 68096.52; rounded to 68097

Step-by-step explanation:

64242 x 2/100 (because 2% = 0.02 = 2/100) = 1284.84

So the population of Oak is increasing at a rate of 1284.84 people per year.

But in three years?

1284.84 x 3 = 3854.52.

64242 + 3854.52 = 68096.52.

The population in three years will be 68096.52

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Answer:

$\large\boxed{PS=10\sqrt5}$

Step-by-step explanation:

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We have:

$QR=5,\ RS=20$

Substitute:

$\dfrac{5}{RP}=\dfrc{RP}{20}$ <em>cross multiply</em>

$RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10$

Use the Pythagorean theorem:

$PS^2=PR^2+RS^2$

Substitute:

$PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5$

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