A manufacturing 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 open.
Accepted Solution
A:
Answer:The amount that plant earns per man hour after (t) years it open is $80 [tex](1.05)^{\textrm t}[/tex] .Step-by-step explanation:Given as :The earning of manufacturing plant when it opened = $ 80 per man hourThe rate of plant earning per man hour = 5 %Let The earning of plant after t years = A( t )So, The earning of plant after t years = initial earning × [tex](1+ \dfrac{\textrm rate}{100})^{\textrm Time}[/tex]Or, A(t) = $ 80 × [tex](1+ \dfrac{\textrm 5}{100})^{\textrm t}[/tex]or, A(t) = $ 80 × [tex](1.05)^{\textrm t}[/tex]Hence The amount that plant earns per man hour after (t) years it open is $80 [tex](1.05)^{\textrm t}[/tex] . Answer