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Murljashka [212]

3 years ago

7

A couple needs $60,000 as a down payment for a home. If they invest the $45,000 they have at 4% compounded quarterly, how long w

ill it take for the money to grow to $60,000

1 answer:

elena-s [515]3 years ago

8 0

Answer:

7 years

Explanation:

45000(1.01)^28= roughly 60,000

28/4 (quarters) = 7 years

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Increased government debt can lead to higher interest rates and, as a result, crowding out of private investment spending. In

prisoha [69]

Answer:

The correct answer is option D.

Explanation:

Increase in government spending may not lead to an expansionary effect on the economy because of the crowding-out effect. This is because increased borrowing to fund spending leads to increase in interest rates. Increased interest rate discourages investors leading to a decline in private investment. This further has an adverse effect on aggregate demand.

If the debt spending is spent on constructive work such as infrastructure, research, and development, education, etc it will create value in the future. Such spending will pose less problem in the long run. Spending on education will create human capital. Spending on infrastructure and research and development will further help in the production process.

4 0

3 years ago

Adjusting entries are recorded<br> ___of an accounting period.

ExtremeBDS [4]

Answer:

at the end

Explanation:

Adjusting entries are made at the end of an accounting period after a trial balance is prepared to adjust the revenues and expenses for the period in which they occurred.

5 0

2 years ago

Suppose a monopolist's costs and revenues are as follows: ATC = $50.00; MC = $35.00; MR = $45.00; P = $55.00. The firm should

bekas [8.4K]

Answer:

The firm should increase output and reduce price

Explanation:

For a monopolist, there can be one of the following three scenarios at a time point in time:

Scenario one, MR = MC: For a monopolist, profit is maximized at the point where marginal revenue (MR) is equal to to marginal cost (MC), i.e. where MR = MC.

Scenario two, MR < MC: But when the MR < MC, it indicates that the monopolist is currently producing a higher quantity of output and it is not maximizing profit. In order to maximize profit, the monopolist has to reduce output until MR = MC.

Scenario three , MR > MC: But when the MR > MC, it indicates that the monopolist is currently producing a lower quantity of output and it is not maximizing profit. In order to maximize profit, the monopolist has to increase output until MR = MC. Also, the monopolist has to reduce price in order to sell the increased quantity of output.

From the question, the monopolist falls into scenerio three as MR > MC, i.e. $45 > $35. Therefore, the monopolist should increase output until MR = MC and reduce price in order to maximize profit.

3 0

2 years ago

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

Sarah’s Organic Soap Company makes organic liquid soap. One of the raw materials for her soaps is organic palm oil. She needs 90

Nuetrik [128]

Answer:

$1905

Explanation:

Here we will have to calculate Economic Order Quantity to lower the ordering ordering and holding cost as much as we can. So here we will use the following formula to calculate the best number of units that we should order, which is as under:

Economic Order Quantity = SquareRoot (2 * Annual Demand * ordering cost per order / Holding cost per unit per year)

Here

Annual Demand = 900kg of palm oil per day * 52 weeks * 5 day a week / 7

Annual Demand = 900 * 52 * 5 / 7 = 33,429

And

Ordering cost per order = $57 per order

Annual holding cost per unit per year is 20% of $5.25 per kg which is $1.05.

So by putting values, we have:

Economic Order Quantity = Square Root (2 * 33,429 * 57 / 1.05)

Economic Order Quantity = 1905 kgs

4 0

3 years ago