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A Pyramid is 685 ft high (due to erosion, its current height is slightly less) and has a square base of side 1370 ft. Find the work needed to build the pyramid if the density of the stone is estimated at 120 lb/ft^3.
You have a credit card that is charging you 9.9% + the current prime rate. What is that interest rate on the credit card today?
This year, 100 million test kits are expected to be sold. This represents a 122% increase form the number of kits sold last year. How many medical test kits were sold last year?
Determine the probability that the cholesterol content will be greater than 220 milligrams.
The Blue Party promises to give Jane Jr. a tax credit after she graduates. At the end of the first year after she graduates, and continuing each year afterwards, her income taxes will be reduced by $200. What is the value today of the Blue Party's..
Sally has 5 red flags, 6 green flags, and 5 white flags. How many 16-flag signals can she run up a flag pole?
A sink can be filled by cold water faucet in 4 minutes. The drain can empty a full sink in 8 minutes. If the sink is empty and both the cold faucet and the drain are open, how long it take the sink to overflow?
An urn contains a white balls and b black balls. After a ball is drawn, it is returned to the urn if it is white; but if itis black, it is replaced by a white ball from another urn. Let M(n) denote the expected number of white balls in the urn aft..
Let |G| be finite and N be a normal subgroup of G. If xN is an element of G/N and has order a power of p, show that there exists a y element of G such that |y| is a power of p and yN=xN.
In an 8 inch square cake pan and a 9 inch square cake pan, what is the difference in volume each pan will hold? Assume each pan is 2.5 inches high. Show step by step work. Include correct units with your solution.
How many relative maximum/minimum points are there? How many absolute max/min points?
Determine the domain and the range of the function
A wrench 0.6 meters long lies along the positive -axis, and grips a bolt at the origin. A force is applied in the direction of at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the..
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