How does racial wealth gap affect families

An oil refinery is located on the north bank of a straight river that is 3km wide. A pipeline is to be constructed from the refi

Mariulka [41]

Answer:

$6,598,076.21

Explanation:

<h2>THE KEY IS TO FIND OUT THE COST FUNCTION, the calculations are very easy!!!</h2><h2></h2><h3>In order to find the cost function, take a look at the drawing attached. </h3>

We can see the river (sort of) that is 3 km wide and the storage tanks on the other side of the river 8 km apart.

<h3 />

Laying pipes under (across) the river costs 1,000,000 the km & laying pipes over land costs 500,000 per km.

<h3 /><h3>So basically the cost function is 1,000,000 multiplied by something plus 500,000 multiplied by another something.</h3><h3 />

The distance across the river can be found by using Pythagoras Theorem. A side is 3 km the other is unknown, so we call it X. And it is equal to:

$\sqrt{3^{2} +x^{2}}=\\\sqrt{9 +x^{2}}$

And we multiply it by 1,000,000; the cost of laying pipe under the river, the we get:

$1000000\sqrt{9+x^{2}$

The distance over the land is (8-x), as we can see in the drawing. So we multiply it by its cost, 500,000. And we get 500,000(8-x).

So the cost function f(x) would be:

$f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)$

<h2>From here, we just have to differentiate and the derivative found must be equal to zero in order to minimize cost. </h2><h3>The value of x when the derivative is zero is plugged in the original function to get the cost.</h3><h3 /><h2>LET'S DO THIS</h2>

$f(x)=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(x)=1000000(9+x^{2})^{1/2}+4000000-500000x\\f'(x)=\frac{1}{2} 1000000(9+x^{2})^{-1/2}(2x)-500000\\\\f'(x)=\frac{1000000x}{\sqrt{9+x^2}} - 500000$

$f'(x)=\frac{1000000x}{\sqrt{9+x^2}} - 500000=0\\\frac{1000000x}{\sqrt{9+x^2}} = 500000\\\frac{2x}{\sqrt{9+x^2}} = 1\\2x={\sqrt{9+x^2}}\\4x^2=9+x^2\\3x^2=9\\x^2=3\\x=\sqrt{3} \\$

And we plug square root of 3 in the original cost function ad we get

$f(\sqrt{3} )=1000000\sqrt{9+x^{2}} + 500000(8-x)\\f(\sqrt{3})=1000000\sqrt{9+(\sqrt{3} )^{2}} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{9+3} + 500000(8-(\sqrt{3}))\\f(\sqrt{3})=1000000\sqrt{12}+500000(6.27)\\f(\sqrt{3})=1000000(3.46)+500000(6.27)\\f(\sqrt{3})=3464101.62+3133974.60\\f(\sqrt{3})=6598076.21\\$

<h2>so the minimal cost is $6,598,076.21</h2><h2 /><h3 />

6 0

3 years ago

Money invested is usually used to do which of the following?

Sergeeva-Olga [200]

It should be noted that money invested is to C. Achieve long-term goals

<h3>What is money?</h3>

It should be noted that money is a means of exchange. It is required for our transactions.

When money is invested, the purpose is simply to achieve long-term goals. This can be an increase in revenue, prepare for future financial needs, etc.

Learn more about money on:

brainly.com/question/24373500

5 0

2 years ago

Why does human want change over a period of time ?

Mrac [35]

Every human has a desire for better standards of living. For this, they need to change with their desires and wants for the better in terms of food, clothing, and living

5 0

3 years ago

The Fruitiest Candy Company finds that from time to time it needs short-term funds to cover its operating expenses. It wants to

e-lub [12.9K]

Answer:

The answer is: E) set up a line of credit with a bank that offers a revolving credit agreement.

Explanation:

A revolving credit is a credit line where the bank charges a business a commitment fee and allows the business to borrow money and use it only when they need the funds. This type of credit line lets the business decide when to use the money according to their cash flow needs.

7 0

3 years ago

One of the best ways to avoid disasters at a catering event is to

evablogger [386]

Option A.

The best way to avoid disasters at a catering event is to prepare backup food.

Always we should have a backup option so that in case, any mishappening or disaster hapens, the guest can be served something and they won't have a bad experience m

8 0

3 years ago

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