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2 years ago

Solve each word problem using a system of equations. Use substitution or elimination.

Mathematics

1 answer:

nasty-shy [4]2 years ago

4 0

Answer:

Step-by-step explanation:

x + 3y = 24.....multiply by -1

5x + 3y = 36

------------------

-x - 3y = -24 (result of multiplying by -1)

5x + 3y = 36

------------------add

4x = 12

x = 12/4

x = 3 <=======

x + 3y = 24

3 + 3y = 24

3y = 24 - 3

3y = 21

y = 21/3

y = 7 <========

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Answer:

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Step-by-step explanation:

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Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

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We have and ordinary differential equation of first order that we can write

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The integrating factor is

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Multiplying both sides of the equation by the integrating factor

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Hence

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Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

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But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

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$P(t)=3,000,000-3,000,000e^{0.0138t}$

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