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nika2105 [10]
2 years ago
10

Lily likes to collect records. Last year she had 10 records in her collection. Now she has 14 records. What is the percent incre

ase of her collection?
Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
7 0
The percent increase is 140%
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The first thing we must do for this case is to define variables.
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Solve the equation and check the solution.
weqwewe [10]

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The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

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P(x)= - 0.004x² +3.2 x -200

where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

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Again differentiating with respect to x

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For maximum or minimum P'(x)=0

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⇒0.008x=3.2

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

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The number of elephant ears that must be sold to maximize profit is 400.

3 0
2 years ago
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