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3 years ago

If you can buy 5 bags of bananas for $28.15, find the unit price of a bag of bananas.

Mathematics

1 answer:

Bond [772]3 years ago

7 0

Answer:

$5.63

Step-by-step explanation:

Each bag of bananas is $5.63.

If you divide $28.15 by 5 you get $5.63.

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3 years ago

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3 years ago

The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum

wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information: $P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000$ , where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

$\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2$

Equating it to zero we get,

$x^2 + 36x - 6400 = 0$

We use the quadratic formula to find the values of x:

$x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}$ , where a, b and c are coefficients of $x^2, x^1 , x^0$ respectively.

Putting these value we get x = -100, 64

Now, again differentiating

$\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x$

At x = 64, $\displaystyle\frac{d^2(P(x))}{dx^2} < 0$

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

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3 years ago

Meredith is saving up to buy a digital camera that costs $490. So far, she saved $175. She would like to buy the camera 4 weeks

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She would have to get 78.75 dollars every week to get the camera.

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3 years ago

Read 2 more answers

Please answer this I REALLY REALLY REALLY NEED IT....

ziro4ka [17]

The answers to this questions would be:

1. A-> (1.5, 1.5) 5. A and B-> 7 units

2. B-> (-2, -1.5) 6. C and D-> 3 units

3. C-> (-3.5, 2) 7. B and D-> 1 unit

4. D-> (0.5, 0) 8. A and D-> 8 units

-------------------------------- WORD PROBLEMS------------------------------------------

9. 8 feet

10a. (-4, -1) 10b. (4, 1)

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3 years ago