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.
[tex]\begin{gathered} P_{coffemaker}=\frac{1600}{1000}=1.6\text{ kw} \\ \\ P_{microwave}=\frac{1100}{1000}=1.1\text{ kw} \end{gathered}[/tex]Next step is to convert the time from minutes to hours:
[tex]\begin{gathered} T_{coffeemaker}=\frac{10}{60}=\frac{1}{6}\text{hour} \\ \\ T_{microwave}=\frac{4}{60}=\frac{1}{15}hour \end{gathered}[/tex]Thus, to find the total cost to use the appliances, we have:
[tex]\text{Total cost = \lbrack(1.6}\ast\frac{1}{6})+(1.1\ast\frac{1}{15})\rbrack\ast0.08[/tex]Solving further:
[tex]\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}[/tex]Therefore, the cost to use the appliances is $0.0272 which is approximately $0.03
ANSWER:
$0.0272