Solve the problem.A gas company has the following rate schedule for natural gas usage in single-family residences:Monthly service charge $8.80Per therm service charge1st 25 therms$0.6686/thermOver 25 therms$0.85870/thermWhat is the charge for using 25 therms in one month?What is the charge for using 45 therms in one month?Construct a function that gives the monthly charge C for x therms of gas.

What will be an ideal response?


$25.52
$42.69
C(x) = 

Mathematics

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Use the given transformation to evaluate the integral.     Rwhere R is the parallelepiped bounded by the planes   

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A. 26,208
B. 13,104
C. 1456
D. 2912

Mathematics

Find the solution to the system of equations by the substitution method.  5x + y = 0-5x + y = -10

A. (-1, 5) B. (1, 10) C. (-1, -5) D. (1, -5)

Mathematics

Solve the problem.A boat on a river goes 77 miles downstream in 2 hours and 45 minutes. The return trip takes 3 hours and 30 minutes. If the boat's speed is the same in each direction, find the speed of the boat and the speed of the current.

What will be an ideal response?

Mathematics

Solve the equation.x2 + 8x - 48 = 0

A. {-12, 1} B. {-12, 4} C. {-4, 12} D. {4, 12}

Mathematics