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In order to purchase a home, a family borrows $267,000 at 10.8% for 15 yr. What is their monthly payment? Round the answer to the nearest cent.
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. THe function A = 27x - x^2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maxmimum area? Round to the nea..
A certain service station uses a team of 3 mechanics in one repair station to work on each car that needs repair. This team can repair cars at a rate of 9 per day.
A sphere of radius 1 is covered in ink and rolled around between concentric spheres of radii 3 and 5. If this process traces a region of area 1 on the larger sphere, what is the area of the region traced on the smaller sphere?
An orchard contains 50 peach trees with each tree yielding an average of 58 peaches. For each 4 additional trees planted, the average yield per tree decreases by 12 peaches. How many trees should be planted to maximize the total yield of the orcha..
Use polar coordinates to find the volume of the given solid.
the population of a city can be modeled by p=125000 e^0.02t where t is the number of years since 1990. what was the population in 1995?
A radio transmission tower is 322 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 23o with the ground? How many feet long should the guy wire be? Round your answer to the nearest foot and do not write the uni..
What you need to know about Probability problems Two students, Jen and John, are registered for the same class and attend independently to each other
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
Two trains are driving towards each other .One at 144 km/h and the other at 72 km/h When they see each other they start to brake at 1 m/ss. There is 950m between them
The plane y + z = 3 intersects the cylinder x^2 + y^2 = 5 in an ellipse. Find the parametric equations for the tangent line to this ellipse at the point (1,2,1)
What happens to the circumference of a circle if you double the radius? What happens if you double the diameter? What happens if you triple the radius?
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