Question

on a particular day the following appliances are used for the Times indicated a 1600 watt coffee maker 10 minutes and the 1100 watt microwave oven 4 minutes with these power requirements find how much it cost to use the appliances at an electrical cost of $0.08 per kwh

Answer 1

Given:

Power for coffee maker = 1600 watts

Time indicated for the cofee maker = 10 minutes

Power for microwave = 1100 watts

Time indicated for the microwave = 4 minutes

Cost per hour of electrical appliances = $0.08 kwh

Let's find the total cost to use the appliances.

First convert the power to from watts to kilowatts by dividing by 1000.

`\begin{gathered} P_(coffemaker)=(1600)/(1000)=1.6\text{ kw} \\ \\ P_(microwave)=(1100)/(1000)=1.1\text{ kw} \end{gathered}`

Next step is to convert the time from minutes to hours:

`\begin{gathered} T_(coffeemaker)=(10)/(60)=(1)/(6)\text{hour} \\ \\ T_(microwave)=(4)/(60)=(1)/(15)hour \end{gathered}`

Thus, to find the total cost to use the appliances, we have:

`\text{Total cost = \lbrack(1.6}\ast(1)/(6))+(1.1\ast(1)/(15))\rbrack\ast0.08`

Solving further:

`\begin{gathered} \text{Total cost = \lbrack{}0.2}67+0.073\rbrack\ast0.08 \\ \\ \text{Total cost = }(0.340)\ast0.08 \\ \\ \text{Total cost = }0.0272 \end{gathered}`

Therefore, the cost to use the appliances is $0.0272 which is approximately $0.03

ANSWER:

$0.0272