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2 years ago

In a volatile housing market, the overall value of a home can be modeled by V(x) = 415x2 - 4600x + 200000, where V

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

4 0

Answer:

See below

Step-by-step explanation:

This is a bowl shaped parabola ( due to the positive coefficient of x^2)

the minimum value (vertex )

will occur at x value = - b/2a = - -4600/2(415) = 5.54 years

the minimum VALUE will be the quation with this value of x inserted

415 (5.54)^2 - 4600(5.54) + 200 000 = $ 187 253.01

The home will reach a minumum value of 187253.01 in 5.54 years

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Surface area of the cube = $150\ cm^2$

Step-by-step explanation:

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Find the center and radius of the circle represented by the equation below.

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dusya [7]

Answer:

$\large\boxed{\dfrac{41p}{70q^4(r-9)^2}}$

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$\dfrac{2p^4}{5q^5(r-9)^3}\cdot\dfrac{41q(r-9)}{28p^3}\\\\=\dfrac{2\!\!\!\!\diagup^1\cdot41}{5\cdot28\!\!\!\!\!\diagup_{14}}\cdot\dfrac{q\!\!\!\!\diagup}{q^{5\!\!\!\!\diagup^4}}\cdot\dfrac{(r\!\!\!\!\!\!{--}-9)\!\!\!\!\!\!{--}}{(r-9)^{3\!\!\!\!\diagup^2}}\cdot\dfrac{p^{4\!\!\!\!\diagup}}{p^3\!\!\!\!\!\!\diagup}\\\\=\dfrac{41}{70}\cdot\dfrac{1}{q^4}\cdot\dfrac{1}{(r-9)^2}\cdot\dfrac{p}{1}\\\\=\dfrac{41p}{70q^4(r-9)^2}$

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3 years ago

Hershel is designing a square pyramid that needs to have a lateral surface of 440 in². The area of the base is 121 in². Find the

Snowcat [4.5K]

Answer:

The length of the slant height of the square pyramid is 20 in.

Step-by-step explanation:

The lateral surface area of a regular pyramid is the sum of the areas of its lateral faces.

The general formula for the lateral surface area of a regular pyramid is

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From the information given we know that:

The lateral surface area of a square pyramid is 440 in².
The area of the base is 121 in².

And we want to find the the slant height of the pyramid.

For this, we also need to know that the area of a square is given by $A=s^2$ , where s is the length of any side and the perimeter of a square is given by $p=4s$ .

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$440=\frac{1}{2}44l\\\\\frac{1}{2}\cdot \:44l=440\\\\22l=440\\\\l=20$

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