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seropon [69]
3 years ago
8

7. Problems and Applications Q7 A dozen eggs cost $0.96 in December 2000 and $2.75 in December 2015. The average wage for worker

s in private industries was $14.28 per hour in December 2000 and $21.26 in December 2015. By what percentage did the price of a dozen eggs rise
Business
1 answer:
fredd [130]3 years ago
4 0

Answer: 187%

Explanation:

The percentage increase in the price of dozen egg would be:

= ( 2.75-0.96) × 100/ 0.96

= 1.79 × 100 / 0.96

= 186.45%

The percent increase in the price of dozen egg = 187%

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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

<h2>f'(x)=0</h2>

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
How donfederal student loans differ from private student loans ​
vodomira [7]

Federal student loans are made by the government, with terms and conditions that are set by law, and include many benefits (such as fixed interest rates and income-driven repayment plans) not typically offered with private loans.

6 0
3 years ago
Bill Blackburn is the new mayor of Oceanside, Washington. He discovered that the city-run utility requires a deposit of $50 from
Serjik [45]

Answer:

<em>Theory of justice </em>

Explanation:

A Justice Theory is a 1971 work of John Rawls ' political philosophy and ethics, whereby the writer addresses the problem of distributive justice.

The principle uses a revised sort of Kantian philosophy and a variant form of conventional theory of social contracts.

7 0
3 years ago
c) Explain ONE way in which the adoption of laissez-faire economic policies led to an increase in the share of global manufactur
Alinara [238K]

Answer:

Laissez faire economics advocates for less government regulation and intervention. Extreme laissez faire views dislike all types of taxes and controls.  Of course something like that will never happen, but different economic policies favor certain laissez faire views.

For example, during the 1800s, many politicians believed that business owners were entitled to exploit their workers in order to make higher profits. As a result of these types of policies, 14 or 16 hour long labor days were common, no safety regulations existed, and the wages were not high. Since governments didn't regulate labor markets, businesses were able to benefit form this and increase total production.

8 0
3 years ago
A deposit of $90 is placed into a college fund at the beginning of every week for 5 years. The fund earns 3% annual interest, co
laila [671]

Answer:

$25,249.50

Explanation:

Deposit at the beginning of every 6 month (A) = 90

Time period (t) = 5

n = 52

Rate (r) = 3% = 0.03

So, the net amount in the account right after the last deposit is as follows:

= A * [(1+r/n)^(n*t) - 1 / r/n] * (1 + r/n)

= 90 * [(1+0.03/52)^(52*5) - 1 / 0.03/52] * (1 + 0.03/52)

= 90 * [(1.16178399147 - 1 / 0.000577] * (1+0.000577)

= 90 * 280.3882 * 1.000577

= 25249.498559226

= $25,249.50

6 0
2 years ago
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