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Vaselesa [24]
1 year ago
12

The price of a bungalow in 1990 was $850000. If there was a 125% increase in 2000, followed by a 30% decrease in 2013, what was

the price in 2013?
Mathematics
1 answer:
astra-53 [7]1 year ago
6 0

Answer:

1,338,750$

Step-by-step explanation:

1990 price was 850,000

in 2000

850,000 + 125% = 1,062,500

850,000 + 1,062,500 = 1,912,500

in 2013

1,912,500 - 30% = 573,750

1,912,500 - 573,750 = 1,338,750

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Answer:

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Step-by-step explanation:

The volume of the box is:

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V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3

V = 4*x^3 - 312*x^2 + 5940*x

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The mathematical problem is :

Maximize: V = 4*x^3 - 312*x^2 + 5940*x

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In the maximum, the first derivative of V, dV/dx, is equal to zero

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From quadratic formula

x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}

x = \frac{624 \pm \sqrt{(-624)^2 - 4(12)(5940)}}{2(12)}

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x = \frac{624 \pm \sqrt{2^6*3^2*181}}{24}

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x_1 = \frac{624 + 24*\sqrt{181}}{24}

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x_2 = \frac{624 - 24*\sqrt{181}}{24}

x_2 = 26 - \sqrt{181}

But x_1 > 33, then is not the correct answer.

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