MATHEMATICS · Multi-part · AoPS · Mathematics · Exponents and Logarithms · Exponents and Logarithms
Problem
A machine was purchased for Rs 6,00,000. At the end of every completed year its value falls by 15 % of the value it had at the beginning of that year.
(i) Derive a general expression for the value of the machine at the end of the nth year.
(ii) Calculate the book value of the machine at the end of 8 years, correct to the nearest rupee.
(iii) Find the total amount of depreciation suffered by the machine during the first 8 years.
(iv) Assuming the same rate of depreciation continues, determine the limiting value of the machine as time tends to infinity.