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A rectangular building lot measures 295 ft. by 438 ft. Find the number of acres in the lot. Round to two places after the decimal. Show all steps taken to find the solution.
Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (4, 80), and the x-axis.
A ski-lift runs to the top of a hill has a rise to run ratio of 3/7. The horizontal distance from the bottom of the lift to the center of the mountain is 3000 ft. How high is the hill?
Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
If a system of m linear equations in four unknowns has a unique solution, then m must be greater than or equal to four. If a system of m linear equations in four unknowns has no solutions, then m must be greater than or equal to four.
Assume that the nonzero complex numbers from group G with respect to multiplication. If a and b are real numbers and i=sqrt -1, the conjugate of the complex number a+bi is defined to be a-bi.
The base of an aquarium with volume V = 220 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
The trigonometric function to find exact value.
A manufacture has been selling 1200 television sets a week at $420 each. A market survey indicates that for each $17 rebate offered to a buyer, the number of sets sold will increase by 170 per week. How would you find out the rebate that would max..
Assuming that Earth is a sphere of radius 6378 kilometers, what is the difference in the latitudes of Lynchburg, Virginia and Myrtle Beach, South Carolina, where Lynchburg is about 400 kilometers due north of Myrtle Beach? (Round your answer to tw..
What is the after-tax cost of debt for MC?
Which set of vertices represents a square?
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