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 answer is<u> "B) the rate of inflation".</u>
Inflation alludes to a general increment in the Consumer Price Index (CPI), which is a weighted normal of costs for various products. The arrangement of products that make up the record relies upon which are viewed as illustrative of a typical utilization crate. Therefore, contingent upon the nation and the utilization propensities for most of the populace, the file will include diverse merchandise. A few merchandise may record a drop in costs, though others may build, along these lines the general estimation of the CPI will rely upon the heaviness of every one of the products as for the entire bin. Yearly expansion, alludes to the percent change of the CPI contrasted with that same month of the earlier year.
Yes, the mandated reporter employee is required to file the suspected child abuse report and immediately inform their supervising administrator of the alleged inappropriate conduct. This is further explained below.
<h3>What is
inappropriate conduct?</h3>
Generally, Insulting, threatening, demeaning, malevolent, degrading, or offensive language, behavior, or gestures against a person or group is Inappropriate Conduct.
In conclusion, there is an obligation on the part of the mandated reporter to disclose any suspicions of child abuse and to notify their immediate supervisor of the situation.
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Answer:
If a statute is silent on this point, enforcement depends on whether it is a(n) REGULATORY statute or a revenue-raising statute.
Explanation:
Regulatory statutes regulate practitioners, e.g. doctors, constructors, real estate brokers, dentists, etc., and its main purpose is to protect the general public. This statues are state laws meant to regulate certain professions that may be considered sensitive or hazardous. E.g. a person that pretends to be a doctor can severely injure a patient or even kill him/her. A person that pretends to be a real estate broker can be committing fraud against his/her clients.
The original investment that Rob made was $4,981 with the rate of interest of 11% per year for 18 years.
<h3 /><h3>What do you mean by present value?</h3>
Present value (PV) refers to the current price of a future amount of money or move of cash flows given a certain price of return. Future cash flows are discounted at the discount price, and the better the discount price, the lower the present price of the future cash flows.
As per the given information:
A: $32,595
P: ?
r: 11%
n = 18 years
Therefore, The original investment that Rob made was $4,981 with a rate of interest of 11% per year for 18 years.
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