Question

note: please make sure to properly format your answers. all dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). all percentage values in the answers need to include a percentage sign (%). for all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06).
a certain appliance uses w watts to run. if you run it for m minutes, and the cost per kilowatt - hour is c, the cost of running the appliance for m minutes is given by the formula $\frac{w(\frac{m}{60})}{1,000}(c)$
find the cost of running an appliance that requires 500 watts for 25 minutes at a cost of $0.13 per kwh. round to the nearest cent.

Explanation:

Step1: Substitute values into formula

Given $w = 500$, $m=25$, $c = 0.13$. Substitute into $\frac{w(\frac{m}{60})}{1000}(c)$.
$\frac{500\times(\frac{25}{60})}{1000}\times0.13$

Step2: Simplify the fraction inside

$\frac{25}{60}=\frac{5}{12}$, so the expression becomes $\frac{500\times\frac{5}{12}}{1000}\times0.13$.
$500\times\frac{5}{12}=\frac{2500}{12}$. Then $\frac{\frac{2500}{12}}{1000}=\frac{2500}{12\times1000}=\frac{2500}{12000}=\frac{5}{24}$.

Step3: Calculate the final result

$\frac{5}{24}\times0.13=\frac{5\times0.13}{24}=\frac{0.65}{24}\approx 0.03$

Answer:

$\$0.03$