Question

find the gross pay of the employee working 26.6 hours at a rate of $11.43 per hour and 7.79 hours at a rate of $12.63 per hour. the gross pay of the employee is $\square$. (round to the nearest cent as needed.)

Explanation:

Step1: Calculate pay for first rate

Gross pay for first part is hours × rate, so \( 26.6 \times 11.43 \).
\( 26.6 \times 11.43 = 26.6\times(11 + 0.43)=26.6\times11 + 26.6\times0.43 = 292.6 + 11.438 = 304.038 \)

Step2: Calculate pay for second rate

Gross pay for second part is \( 7.79 \times 12.63 \).
\( 7.79\times12.63=(7 + 0.79)\times12.63 = 7\times12.63+0.79\times12.63 = 88.41 + 9.9777 = 98.3877 \)

Step3: Sum both pays

Total gross pay is sum of both parts: \( 304.038 + 98.3877 = 402.4257 \)

Step4: Round to nearest cent

Rounding \( 402.4257 \) to nearest cent (two decimal places) gives \( 402.43 \)

Answer:

\( 402.43 \)