Answer:
X=97.24
Explanation:
PV = Present Value = X+2000 by the 16th years
PMT = Payments = $100
FV = Future Value = 2000 at the end of 16 years
n= number of years
Applying the equation of future value for annuity
FV = pmt* ((1+r)ⁿ - 1
)/r
Inputting the values;
2000=100*((1+r)¹⁶-1)/r
Solving for r, gives r = 2.9%
Therefore using the formula for PV for annuity;
PV=PMT*(1-(1/1+r)/r)
X=100*(1-(1/1.029)/0.029
X=100*((1-0.9718)/0.029)
X=100*(0.0282/0.029)
X=97.24
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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The shelves must be at least SIX [6] INCHES above the floor. This is necessary in order to facilitates proper cleaning of the floors, the unobstructed space below the shelf will make it easier to clean the underneath of the shelves. This will prevent cockroaches and other kitchen pests from habouring the space.
If the value of beach-front property in beach city decreases, initially the people of beach city will likely spend less, causing incomes in beach city to decrease.
Property is anything to which a person or entity has a legal right. A property can be an Understanding Land tangible item, such as a house, car, or appliance, or an intangible item that promises future value, such as a stock or bond.
Property defines the theoretical and legal ownership of resources and how they are used. These resources are both tangible and intangible and can be owned by individuals, businesses, and governments.
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Answer:
A. $230,400
Explanation:
600,000 x 40% = 240,000
260,000 - 156,000 = 104,000 transfers of goods intra-entity at sale price
we divide by the markup to know the cost:
104,000 / 1.3 = 80,000 cost of the goods
gross margin 104,000 - 80,000 = 24,000
we will eliminate 40% of the gross margin
24,000 x 40% = 9,600
This amount will be eliminate from the incoem statemnet:
240,000 - 9,600 = 230,400
