Customers who use electricity in off peak hours in orangeburg pay a $12 meter per month plus $0.0365 per kilowatt-hour. Which equation represents the total cost 'c' of a monthly electric bill as a function of kilowatt-hours 'k' ? A. c = 0.0365k + 12
B. c = 0.0365(k + 12)
C. c + 12 = 0.0365
D. k = 0.0365(c + 12)
E. k = 0.0365c + 12

A. c = 0.0365k + 12

Step-by-step explanation:

First, answer choices D and E are wrong because they represent k as a function of c.

Answer choices B and C are wrong because they incorrectly represent the cost including the monthly cost and kilowatt-hour price.

Answer choice A is correct because it properly represents the cost per kilowatt-hour (0.0365k) and properly adds the monthly cost ($12)

So, A is the right answer.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

think the answer would beb