Answer:
-$7,621
Explanation:
Calculation to determine the net present value of the machine
Using this formula
Net present value of the machine=(Net cash flow *present value of an annuity at 11%)- Amount invested
Let plug in the formula
Net present value of the machine=($2,800+$26000*2.4437)-$78,000
Net present value of the machine=($28,800*2.4437)-78,000
Net present value of the machine=$70,379-$78,000
Net present value of the machine=-$7,621
Therefore the Net present value of the machine is -$7,621
Answer:
B) There is an inflationary gap, and contractionary fiscal policy is appropriate.
Explanation:
One of the macroeconomic cases is inflationary gap. It means that the difference between the current level of real gross domestic product (GDP) and the predicted or forecasted GDP that would be experienced and achieved if an economy is at full employment. It could be claimed that when the demand for goods and services gets over the production in the factors such as: higher levels of overall employment, increased trade activities or increased government expenditure.
In order to overcome this gap, the contractionary fiscal policy must be considered. The mechanism of that policy is to increase the taxes decrease the government expenses due to inflationary pressures. This policy consequently will affect the level of consumption and private investment, respectively, these also will decrease the real GDP.
Other concept of macroeconomics is recessionary gap. In comparison to inflationary gap, this concept indicates the economy operating at lower level than its full equilibrium level, in turn, the level of real GDP is also less than full equilibrium level. We used to see this situation when the economy was intending to recess.
In order to overcome this gap, the expansionary fiscal policy will work well. Because of decreasing taxes and increasing government expenditures, the recessionary gap can be fought anymore. Since the taxes decreases, the business will revive and the confidence to the investment will increase, as a result the GDP will rise. Moreover, the growing government expenditures will stimulate the GDP to accrue.
To summarize, according to the question we need the gap in which the economy is above of potential, this means inflationary gap. Following this finding, the contractionary fiscal policy will be solution.
Answer:
An investment firm or fund is a partnership, trust or corporation that “pools” money from shareholders and invests it in the appropriate security instruments and multiply investment money.
The dimensions of the cylinder can be used to minimise cost of manufacture.
<h3>How to we find minimised cost?</h3>
Let's ignore the metal's thickness and assume that the material cost to manufacture is precisely proportionate to the surface area of a perfect cylinder.
A=2πr(r+h)
Given that V=1000=r2h and h=1000=r2, we can write
A=2πr(r+1000πr2)
A=2πr2+2000r−1
By setting the derivative to zero, we may determine the value of r that minimises A:
A′=4πr−2000r−2
0=4πr−2000r−2
2000r−2=4πr
2000=4πr3
r=500π−−−√3
r=5.419 + cm
h=1000πr2=10.838 + cm
The can with the smallest surface area has a volume of 1000 cm 3 and measures 5.419+ cm in radius and 10.838+ cm in height. The can has a surface area of 553.58 cm 2. Given a constant volume, the cylinder with diameter equal to height has the least surface area.
Can surface area (cm2) versus. radius (cm), where capacity = 1000cm 3.
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