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A rectangular tank, 4m long, 3m wide and 6m tall, is filled with water up to a depth of 2m. A solid spherical object of radius 1.2m is placed into the tank. Determine the new water level, correct to 3 significant figures.
A city sells plots in its cemetery for $1000 plus an amount calculated to provide for the costs of maintaining the grounds in perpetuity.
A house and lot valued at $ 92500 is being depreciated over 25 years by the straight-line method . After 11 years, the book value of the asset is $ 65000 . Since only the value of the house depreciates, find the assumed value of the land.
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
Find the first four zeros of the function f(z)=1+z^2+e^z ordered according to increasing complex absolute values. How do you know these are the first four zeros and that you have not missed some?
Evaluate the Area of under one arch of a cycloid using its integration
Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?
Estimate the profit for each item as difference between total revenue and total cost of the item and
A hot metal bar is submerged in a large reservoir of water whose temperature is 60 degrees F. The temperature of the bar 20s after submersion is 100 degrees F. After 1 minute, the temp has cooled to 80 degrees F.
A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius c. If the density function is ρ(x, y) = kxy, find the mass and center of mass of the wire.
Find the slope of the line that passes through the points (3, -5) and (-4, -6). Find the equation in slope-intercept form, of the line that passes through the points (3, 6) and (-7, -3); write equation in slope-intercept form.
The company receives an order for 580 notepads, together with a check for $328. If the order fails to specify the number of each type, how should the company fill the order?
A man with a tibia length of 40 cm long should be about 176 cm tall, and a man with a 44 cm long tibia should be 188 cm tall. By letting x represent the length of the tibia and y the height of the person; write and equation of a line relating the ..
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