The operating and maintenance expenses for a mining machine are expected to be $11,880 in the first year and increase by $864 per year during the 15-year life of the machine. What uniform series of payments would cover these expenses over the life of the machine

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Answer:

The answer is "[tex]\$16,441[/tex]".

Explanation:

First-year operational and maintenance costs [tex]= \$11,880[/tex].

Operating and repair costs increase inwards[tex]=\$864[/tex] for the first year

N =15 years machine life

Interest [tex]I = 10\%[/tex]annually combined

Please find the image file.

Its single payment sequence is now provided by:

[tex]Amount=(\text{15-year system quantity})\times (\frac{\text{Rate of interest}}{(1-(1+ \text{Rate of interest})- n))}[/tex]

             [tex]= \$522,371.3236 \times (\frac{0.1}{(1-(1+0.1)-15)})\\\\[/tex]

Uniform payment sequence [tex]=\$16441.2477 \approx\$16,441[/tex]

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