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A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 L/ min. Find the rate at which the water is rising in the basin when it is half full. [Use the following facts: 1 L is 1000 cm3. The volume of the portion of a sphere with radius r from the bottom to a hight h is V= π(rh2 - (1/3)h3)].
About 35.9% of all charitable contributions are made to religious organizations. In 2003, about $86.4 billion was given to religious organizations. How much was given to charities in general?
An apartment is rented for $450 per month. Each month's rent is payable in advance. If money is worth 12% compounded monthly, what is the present value of the rent for one year?
Prepare a balance sheet for Mullen's Hardware for December 31 of last year. The company assets are cash $15,000, accounts receivable $21,000, and merchandise inventory $95,000. The liabilities are accounts payable $12,000 and wages payable $17,000..
Set up and solve using Management Scientist, Excel Solver, or an online LP solver. What are the values of X and Y at the optimal solution?
suppose that the mean of the annual return for common stocks from 2000 to 2012 was 8.5 and the standard deviation of
How many strings of ten uppercase English letters are there
Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in mph) during the first 10 seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris..
A cylinder is inscribed in a right circular cone of height 4.5 and radius (at the base) equal to 7.5. What are the dimensions of such a cylinder which has maximum volume?
Talk about the old days! A long-playing record has a radius of 6 inches. How far does a fly sitting on the rim of the record travel after the record has turned around once? (Use pi = 3.14).
U sing an equal number of participants, find how many subjects will you need in each group
If f is an automorphism of S_3, prove that there exists a sigma in S_3 such that f(tau)
How many whole pounds of ham did she buy altogether ?
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