Question

A manufacturing plant earned $80 per a man-hour of labor when it opened. Each year, the plant earns an additional 6% per man-hour. Which expression gives the amount the plant earned per a man-hour of labor 3 years after it opened? Choose 1 answer: A 80(1+0.06)(1+0.06)(1+0.06) 80+ 0.06 0.06 - 0.06 43 80 0.06 0.06 - 0.06 80+ (1+0.06)(1+0.06)(1+0.06)​

Answer 1

The amount the plant earned per a man-hour of labor 3 years after it opened is approximately $94.02.

Step-by-step explanation:

The expression that gives the amount the plant earned per man-hour of labor 3 years after it opened is:

80(1+0.06)(1+0.06)(1+0.06)

To find the amount earned after 3 years, we multiply the initial earnings of $80 per man-hour by 1.06 three times, as each year the plant earns an additional 6% per man-hour. This expression simplifies to:

80 x 1.06 x 1.06 x 1.06 = $94.01616

Therefore, the plant earned approximately $94.02 per man-hour of labor 3 years after it opened.