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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Answer:
13.86%
Explanation:
34% was invested into stock X with an expected return of 11%
22% was invested into stock Y with an expected return of 18%
44% was invested into stock Z with an expected return of 14%
The expected return on the portfolio can be calculated using the formula below
Expected return= Sum of ( weight of stock×return of stock)
= (0.34×11%)+(0.22×18%)+(0.44×14%)
= 3.74+3.96+6.16
= 13.86%
Hence the expected return on the portfolio is 13.86%
Answer: Birth rates and death rates are high.
Explanation:
In industrialized countries the life expectancy is reasonably high, so it's false to state that the death rate is high.
Also in industrialized countries birth is controlled as against developing countries that don't really put birth control measures.
Answer:
Decker Enterprises
Based on the projections, Decker will have:___________:
b.) a financing surplus of $36
Explanation:
a) Data and Calculations:
Income Statement Current Projected
Sales na 1,500
Costs na 1,050
Profit before tax na 450
Taxes na 135
Net income na 315
Dividends na 95
Balance sheets Current Projected Current Projected
Current assets 100 115 Current liabilities 70 81
Net fixed assets 1,200 1,440 Long-term debt 300 360
Common stock 500 500
Retained earnings 430 650
Total 1,300 1,555 Total 1,300 1,591
b) Financing surplus 36
c) Decker Enterprises does not need additional financing, but has excess financing because the Liabilities and Equity are greater than the assets.
