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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.

Respuesta :

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 hour

The 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

Answer: 80.1.05^t

Step-by-step explanation: got it

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