A. leaving how the work gets done and by whom up to the staff
Answer:
D. the price level is likely to rise as GDP rises.
Explanation:
The aggregate demand measures all the goods produced in an economy at a given price in a particular period.
When the aggregate demand increases, the aggregate demand curve shifts to the right. When aggregate demand increases, aggregate demand exceeds aggregate supply and aggregate price and output would increase.
Answer: $1,203.49
Explanation:
The equal contributions will be an annuity. The $3,500 already there will also grow at 6% for 3 years. Expression is;
8,000 = ( 3,500 * ( 1 + 6%)^3) + Contribution * Future value interest factor of annuity, 3 years, 6%
8,000 = 4,168.56 + Contribution * 3.1836
Contribution = (8,000 - 4,168.56) / 3.1836
Contribution = $1,203.49
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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