Amanufacturing plant earned $80 per man-hour of labor when it opened. each year, the plant earns an additional 5% per man-hour. write a function that gives the amount a(t) that the plant earns per man-hour t years after it opens.

A function that gives the amount that the plant earns per man-hour t years after it opens is

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

Similarly Amount earned by plant after three years

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is

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