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(1) A Company has a 600-meter jogging trail.There are 1609.34 meters in 1 mile. How many miles would you need to jog to complete 1.5miles? (Round up to a full lap)?
(2) Mary made 10% more than Susan before Susan's 50 cent per hour raise to$23 per hour. How much does Mary make per hour?
(3) An employee makes a gross salary of $46,000 per year. 20% of that money goes towards taxes if the employee invests 25% of his gross salary in a pre-tax 401k. How much of the money went towards taxes?
(4) A taxi charges $3 for the first 1/4 mile and $0.30 for each additional 1/4 mile. What is the cost of taking the taxi 9 miles?
Suppose that Ω = [0,1] is the unit interval, and F is the set of all subsets A such that either A or Ac is finite, and P is defined by P(A) = 0 if A is finite, and P(A) if Ac is finite.
The form of augmented matrices.
a boat can go 11 knots in still water hasnbsp heading n25w. the water is moving 6 knots s45w in the steady wind of 22
Find the value of x so that C(x) = 20.03 and interpret in the context of the problem in complete sentences. Round your answers to the nearest kilowatt-hour.
Suppose that f(x, y) = x2y4 is defined over a domain Ω = {{x, y)|x2 + y2 ≤ 1} (a circle of radius one in the xy-plane). Calculate the normal derivative of f(x, y) at P. Calculate the tangential derivative of f(x, y) at P.
it can be shown that the curve yx of an inextensible flexible homogenouse cable hanging between two fixed points is
write a quadratic equation in the varible x having the given numbers as solution type the equation is standard form ax^2+bx+c=0 solution -3,1
Find and sketch the domain of the function f(x; y) = (4-x2-y2)(1/2) + (1-x)(1/2). Draw a contour map of the function f(x; y) = y sec x showing several level curves.
The input consists of two arrays each representing a set of integers (in each array, each value appears only once). The output is an array representing the union of the two sets - again, each value appears only once.
Convex Sets and Linear Transformations, Prove that the following sets are convex, where E stands for the sum symbol:
Explain the theory in your own words based on the case study and suggested readings. Include the following in your explanation:
Inside a semicircle tunnel of the diameter 30 feet, a vertical support beam is placed 4 feet from the side of the tunnel. How tall is the beam?
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