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A machine costs $40,000 to purchase and $10,000 per year to operate. The machine has no...

A machine costs $40,000 to purchase and $10,000 per year to operate. The machine has no salvage life and a 10 year life. If i=10% per year compounded annually what is the present worth of the machine? Please show all work in steps

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Answer #1

Costs = 40000

Maintenance costs per year = 10000

n = 10 years

i = 10 per year

The present worth of the machine would be:-

We can just use the factor values ot use the following formula to find the value of P/A

((1 + i)^n-1)/(i(1 + i)^n)

40000+10000*(P/A,10%,10)

40000+10000*6.144567

= 40000+61445.67

= 101445.6

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