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Mathematics 19 Online
OpenStudy (anonymous):

Can someone help me with this problem please. Tim's electricity costs 4.3 ¢ a kilowatt hour. How much will it cost to run the following appliances for 10 hours? (round to the nearest cent) a) a Dryer @ 4,000 watts. Cost = $ ___ b) a Heater @ 1,500 watts. Cost = $ __ c) a Radio @ 40 watts. Cost = $ _____

OpenStudy (anonymous):

@Chlorophyll

OpenStudy (anonymous):

@zepp

OpenStudy (zepp):

1 kilowatt is equal to 1000 watts, can you convert the questions into kW?

OpenStudy (anonymous):

so we got 4,000 watts

OpenStudy (anonymous):

and we have to convert them into kw right

OpenStudy (zepp):

Yes

OpenStudy (anonymous):

4,000x1,000

OpenStudy (anonymous):

0,004 killowatts

OpenStudy (zepp):

You are doing this wrong D:\[1\text{kW}=1000\text{W}\\?\text{kW}=4000\text{W}\]

OpenStudy (anonymous):

4

OpenStudy (anonymous):

killowatt

OpenStudy (zepp):

Yes! Now, this appliance is rated at 4kW, using it for an hour would use 4kWh, how much would it use if it was operating for 10 hours?

OpenStudy (anonymous):

40

OpenStudy (anonymous):

400

OpenStudy (anonymous):

4x10

OpenStudy (zepp):

40kWh, yes, Tim should pay 4.3 cents per kWh, so how much does he have to pay?

OpenStudy (anonymous):

40x4.3

OpenStudy (anonymous):

172

OpenStudy (zepp):

Yep, Tim has to pay 172 cents for running that appliance for 10 hours, you got it! :D

OpenStudy (zepp):

You have to convert it to $'s though, so 172 cents would be $1.72

OpenStudy (anonymous):

so its asking round to the nearest cent. 1.7

OpenStudy (zepp):

Yes, you got it :)

OpenStudy (anonymous):

Round to the nearest CENTs means 2 decimal digits = $1.72

OpenStudy (anonymous):

1 kilowatt=1,000 watts 1,500/1,000=1.5 1.5x10=15 15x4.3=64.5

OpenStudy (anonymous):

he pays 64.50 right

OpenStudy (anonymous):

Yes, $64.50

OpenStudy (anonymous):

= 40 w * (4.3 / 1, 000 w hr) * 10 hrs

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