2 years ago

Which ordered pair is a solution to the system of equalities y<3x y<5

Mathematics

1 answer:

Ronch [10]2 years ago

4 0

Answer:

(6,2) x=6 y=2

Step-by-step explanation:

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The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the

choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that $P(10) = 2P(0)$ . We use this to find r. So

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^10$

$(1+r)^10 = 2$

$\sqrt[10]{(1+r)^10} = \sqrt[10]{2}$

$1+r = 2^{\frac{1}{10}}$

$1 + r = 1.0718$

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1.0718)^t$

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

$P(t) = P(0)(1.0718)^t$

$4P(0) = P(0)(1.0718)^t$

$(1.0718)^t = 4$

$\log{(1.0718)^t} = \log{4}$

$t\log{1.0718} = \log{4}$

$t = \frac{\log{4}}{\log{1.0718}}$

$t = 20$

It will take the 20 years for the population to quadruple.

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3 years ago

12a + 5c = 2550 method of elimination

anastassius [24]

Answer:

i like you

Step-by-step explanation:

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3 years ago

What is 5 over 12 as a decimal <br> Please work it out for me!!

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The answer is 0.4167 Hope that helped :)

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The base of the figure shown is a cube with sides that are 12 inches long. The total height of the figure is 20 inches. The slan

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It should be 960 square inches! :)

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What is the ratio (multiplier) of the following geometric sequence? 4, 2, 1, 0.5, . . .

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Its either gonna be 1/2 or 0.5

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3 years ago

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