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 logarithmic differentiation to find the derivative of y with respect to the independent variable.y = (x + 8)x

A. x ln(x + 8)
B. (x + 8)x 
C. ln(x + 8) + 
D. x + (8)x-1

Mathematics

 - 9 - 4

A. -68
B. 68
C. 30
D. -108 

Mathematics

Solve the problem.The following table shows the price of several models of new cars along with the average number of repairs each model requires over a 5-year period. Determine the correlation coefficient for the price and the number of repairs.

A. -0.8821 B. -0.8845 C. -0.9195 D. -0.9292

Mathematics

Use common or natural logarithms to solve the exponential equation symbolically.3x = 9

A. x = ln 3
B. x = 
C. x = ln 6
D. x = ln 

Mathematics