Capital recover cost

A machine which costs $100,000 when new, has a lifetime of 15 years and a salvage value of 20% of its original cost. If the interest rate is 10% compounded annually, what is the capital recovery cost?

F=P(1+i)n

F=100,000(1+0.10)15

F=$417,724.82
 

R=417,724.820.20(100,000)

R=$397,724.82
 

A=Ri(1+i)n1

A=397,724.82(0.10)(1+0.10)151

A=$12,518