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juin [17]
3 years ago
14

In preparation for the holiday season, Big Bird Co. decided to increase production of stuffed Bert characters by 30%.

Mathematics
1 answer:
marin [14]3 years ago
3 0

Answer:

the additional characters will the factory creating per day is 105 characters

Step-by-step explanation:

The computation of the additional characters will the factory creating per day is shown below

= Number of character produced × (1 + increased percentage)

= 350 × (1 + 0.30)

= 350 × 1.30

= 455 characters

Now the additional characters would be

= 455 - 350

= 105 characters

hence, the additional characters will the factory creating per day is 105 characters

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goblinko [34]

Answer:

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Step-by-step explanation:

Given: y'=\sqrt{4y+25}

Initial value: y(1)=6

Let y'=\dfrac{dy}{dx}

\dfrac{dy}{dx}=\sqrt{4y+25}

Variable separable

\dfrac{dy}{\sqrt{4y+25}}=dx

Integrate both sides

\int \dfrac{dy}{\sqrt{4y+25}}=\int dx

\sqrt{4y+25}=2x+C

Initial condition, y(1)=6

\sqrt{4\cdot 6+25}=2\cdot 1+C

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Put C into equation

Solution:

\sqrt{4y+25}=2x+5

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Hence, The solution is y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4} or y(x)=x^2+5x

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