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denis23 [38]
3 years ago
12

Val’s whole house central air conditioner uses 4,000 watts when running Val runs the ac 6 hrs per summer day electricity cost (1

5cents) (1 kilowatt-hr) how much does Val ac cost to run for a summer month of 30 days
Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

Val ac cost 108000 dollar  for the summer month of 30 days

Step-by-step explanation:

Given

Electricity consumed in a day by running AC is 4000 * 6 = 24000 watts-hr

Cost of electricity is 15 cents/kilowatt-hr

Cost of electricity consumed in a month

24000*30*0.15= 108000 dollars

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A line that includes the points (4,10) and (7,3) what is the equation in point slope form
stellarik [79]
M = y2-y1/x2-x1
M = 3-10/7-4
M = -7/3
6 0
2 years ago
If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func
nadya68 [22]

Answer:

a) C(1,000)=288,491.11 $

b) c(1,000)=288.49 $/u

c) dC/dx(1,000)=349.74 $/u

d) x=100 u

e) c=220 $/u

Step-by-step explanation:

(a) Find the total cost at a production level of 1000 units.

C(x) = 2,000 + 160x + 4x^{3/2}\\\\C(1,000)=2,000 + 160(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=2,000+160,000+126,491.11= 288,491.11

(b) Find the average cost at a production level of 1000 units.

c(x)=C(x)/x\\\\c(1,000)=C(1,000)/1,000=288,491.11/1,000=288.49

(c) Find the marginal cost at a production level of 1000 units.

\frac{dC}{dx} =0+160+4*(3/2)x^{3/2-1}=160+6x^{1/2}\\\\dC/dx|_{1,000}=160+6*(1,000)^{1/2}=160+189.74=349.74

(d) Find the production level that will minimize the average cost.

c=2,000x^{-1}+160+4x^{1/2}\\\\dc/dx=2,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\-2,000x^{-2}+2x^{-1/2}=0\\\\2x^{-1/2}=2,000x^{-2}\\\\x^{-1/2+2}=1,000\\\\x^{3/2}=1,000\\\\x=1,000^{2/3}=100

(e) What is the minimum average cost?

c(x) = 2,000/x + 160 + 4x^{1/2}\\\\C(100)=2,000/100 + 160 + 4(100)^{1/2}=20+160+40=220

5 0
3 years ago
A spherical balloon with radius r inches has volume defined by the function below. Find a function that represents the amount of
bixtya [17]
<span>v = 4/3*pi*r^3

derivating both sides with respect to t 
dv/dt = 4*pi*r^2*dr/dt
 
when d = 1.7, r = 0.85, and dv/dt = 2:
2 = 4*pi*(0.85)^2*dr/dt
 
thus
dr/dt = 1/(2pi*(0.85)^2)
        =1/(2*3.14*0.85^2)
        =0.22</span><span />
4 0
3 years ago
Help!!!!!!!!!!!!!!!!!!
Vesnalui [34]

Answer:

E

Step-by-step explanation:

it's the correct answer I'm sure of

6 0
3 years ago
PLEASE HELP!! This is due in less than 5 minutes or I fail!!!
Pepsi [2]

Answer:

A/ I think

The first one on the top

7 0
3 years ago
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