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tester [92]
3 years ago
12

A trapezoid has one base equal to twice its height, $x$, and the other base is three times as long as the height. Write the expr

ession for the area of the trapezoid as a common fraction in terms of the height $x$.
Business
1 answer:
MissTica3 years ago
6 0

Answer:

\frac{5x^2}{2}

Explanation:

Let x represent height of the trapezoid.

We have been given that a trapezoid has one base equal to twice its height, so one base of trapezoid would be 2x.

We are also told that the other base is three times as long as the height, so other base of trapezoid would be 3x.

Now, we will use area of trapezoid formula to write our required expression.

\text{Area of trapezoid}=\frac{a+b}{2}\cdot h, where, a and b represent parallel bases of trapezoid and h represents height.

Upon substituting the expressions for bases of trapezoid in area formula, we will get:

\text{Area of trapezoid}=\frac{2x+3x}{2}\cdot x

\text{Area of trapezoid}=\frac{5x}{2}\cdot x

\text{Area of trapezoid}=\frac{5x^2}{2}

Therefore, our required expression for the area of the trapezoid as a common fraction in terms of the height would \frac{5x^2}{2}.

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Gross Corporation adopted the dollar-value LIFO method of inventory valuation on December 31, 2013. Its inventory at that date w
Murrr4er [49]

Answer: $603,500

Explanation:

Ending inventory in 2014;

= Ending inventory balance 2013 + ((\frac{Inventory current price 2014}{Price index 2014} * 100) - ending inventory 2013)) * Price index 2014/100

= 550,000 + ((\frac{642,000}{107}* 100) - 550,000)) * 107/100

= $603,500

3 0
2 years ago
a 17-year annuity pays $1,100 per month, and payments are made at the end of each month. The interest rate is 16 percent compoun
zzz [600]

Answer:

The present value of the annuity is $73,091.50

Explanation:

Use the following formula to calculate the present value of the annuity

Present value of annuity = ( Annuity Payment x Annuity factor for first 6 years ) + [ ( Annuity Payment x Annuity factor for after 6 years ) x Present value factor  for 6 years ]

Where

Annuity Payment = $1,000

Annuity factor for first 6 years = 1 - ( 1 + 16%/12 )^-(6x12) / 16%/12 = 46.10028344

Annuity factor for after 6 years = 1 - ( 1 + 13%/12 )^-((17-6)x12) / 13%/12 = 70.0471029820

Present value factor for 6 years = ( 1 + 16%/12)^-(6x12) = 0.385329554163

Placing values in the formula

Present value of annuity = ( $1,000 x 46.10028344 ) + [ ( $1,000 x 70.0471029820 ) x 0.385329554163 ]

Present value of annuity = $46,100.28 + $26,991.22

Present value of annuity = $73,091.50

4 0
2 years ago
Gary is the founder of an animal shelter; he shares a special bond with animals. Hence, he prefers to employ people who care for
Harrizon [31]

Answer:

normative control

Explanation:

Normative control refers to using the values that the employees share as standards instead of using policies to influence the desired behaviors. According to this, the answer is that this is an example of normative control because Gary employs people that share certain values and behaviors and these become the standard to perform their jobs.

4 0
3 years ago
A purchase of equipment for $18,000 also involved freight charges of $500 and installation costs of $2,500. The estimated salvag
IrinaVladis [17]

Answer:

$4,750

Explanation:

The computation of the depreciation expense is shown below:

= (Original cost - residual value) ÷ (useful life)

where,

Original cost = $18,000 + $500 + $2,500 = $21,000

And, the other items would remain same

Now put these values to the above formula

So, the value would be equal to

= ($21,000 - $2,000) ÷ (4 years)

= ($19,000) ÷ (4 years)  

= $4,750

3 0
3 years ago
Define the term fiscal policy.
12345 [234]

Answer:

a). Fiscal policy: fiscal policy ca be defined as the act by the government to use it's expenditure and taxation to control the economy. Government spending usually includes the purchase of goods while taxation is usually a compulsory charge by a government to finance their spending. As we can see, how much the government spends depends on the level of taxation. Fiscal policy are therefor rules and guidelines that utilize spending and taxation to manage the economy.

b). Two ways in which fiscal policy can be used by Caribbean government to increase the level of employment and output in their economies are:

1. Reduction of taxes

2. Increasing government spending

c).  The reasons why some fiscal measures may not work in the small open economies in the Caribbean are:

1. Fiscal expansion by increasing government spending leads to the crowding out effect by the private sector.

2. Fiscal expansion can lead to increased levels of disposable income, increasing the demand for goods and services. This causes an increase in price leading to inflation.

3. Fiscal contractionary policies, which are rarely used include reducing government spending and increasing taxes. This reduces the supply of money in the economy, thus causing a budget surplus. This if not controlled, causes deflation that reduces the levels of output and employment.

d). The crowding out effect is caused by increased government spending in the public sector to the point that the private sector is driven down or in some instances are totally done away with.Crowding out effect can be avoided by offering investment subsidies. Thus the private sector can grow since the cost of investment is manageable.

Explanation:

a). Fiscal policy: fiscal policy ca be defined as the act by the government to use it's expenditure and taxation to control the economy. Government spending usually includes the purchase of goods while taxation is usually a compulsory charge by a government to finance their spending. As we can see, how much the government spends depends on the level of taxation. Fiscal policy are therefor rules and guidelines that utilize spending and taxation to manage the economy.

b). Most Caribbean countries on average are middle-income economies. Their economy largely relies on tourism, agriculture, oil and natural gas produce. With the upper middle-income Caribbean countries relying heavily on oil and natural gas export.  Most of the Caribbean countries are developing countries with economic characteristics like; high levels of unemployment and low levels of output. There are two ways in which fiscal policy can be used by Caribbean government to increase the level of employment and output in their economies. They are;

1. Reduction of business taxes. A reduction in business tax encourages investment in the economy. More investment in the company means more employment opportunities in the economy. Since tax cuts, increases disposable income by a considerable amount, this means that more income is available for production of goods and services. This causes an increase in output.

2. Increasing government spending: this can be done by offering grants to local and state governments to encourage spending on finished goods and services. By doing this, more businesses produce more since the demand is high. An increased demand requires high levels of output to satisfy the demand. Simultaneously, a larger work force is needed to meet the high levels of output required thus raises the level of employment.

c). A small open economy is an economy that takes part in international trade but due to the fact that it is small, their influence causes little or no considerable effect the international prices, rates of interest or even world income. Some of the reasons why fiscal measures cannot work in a small open economy in the Caribbean are;

1. Fiscal expansion by increasing government spending leads to the crowding out effect by the private sector.

2. Fiscal expansion can lead to increased levels of disposable income, increasing the demand for goods and services. This causes an increase in price leading to inflation.

3. Fiscal contractionary policies, which are rarely used include reducing government spending and increasing taxes. This reduces the supply of money in the economy, thus causing a budget surplus. This if not controlled, causes deflation that reduces the levels of output and employment.

d). The crowding out effect is caused by increased government spending in the public sector to the point that the private sector is driven down or in some instances are totally done away with.Crowding out effect can be avoided by offering investment subsidies. Thus the private sector can grow since the cost of investment is manageable.

3 0
3 years ago
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