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Question Number 115250 by otchereabdullai@gmail.com last updated on 24/Sep/20

If mr Fosu sells the car after covering   a mileage of 128km. find the   i. value of the car if the rate of   depreciation is $ 0.03 per km  ii. the range of values for which Mr  Fosu could sell the car so that he does  not lose more than $,2000 or gain more tban   $3,000 on the depreciated value.

$$\mathrm{If}\:\mathrm{mr}\:\mathrm{Fosu}\:\mathrm{sells}\:\mathrm{the}\:\mathrm{car}\:\mathrm{after}\:\mathrm{covering}\: \\ $$$$\mathrm{a}\:\mathrm{mileage}\:\mathrm{of}\:\mathrm{128km}.\:\mathrm{find}\:\mathrm{the}\: \\ $$$$\mathrm{i}.\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{car}\:\mathrm{if}\:\mathrm{the}\:\mathrm{rate}\:\mathrm{of}\: \\ $$$$\mathrm{depreciation}\:\mathrm{is}\:\$\:\mathrm{0}.\mathrm{03}\:\mathrm{per}\:\mathrm{km} \\ $$$$\mathrm{ii}.\:\mathrm{the}\:\mathrm{range}\:\mathrm{of}\:\mathrm{values}\:\mathrm{for}\:\mathrm{which}\:\mathrm{Mr} \\ $$$$\mathrm{Fosu}\:\mathrm{could}\:\mathrm{sell}\:\mathrm{the}\:\mathrm{car}\:\mathrm{so}\:\mathrm{that}\:\mathrm{he}\:\mathrm{does} \\ $$$$\mathrm{not}\:\mathrm{lose}\:\mathrm{more}\:\mathrm{than}\:\$,\mathrm{2000}\:\mathrm{or}\:\mathrm{gain}\:\mathrm{more}\:\mathrm{tban}\: \\ $$$$\$\mathrm{3},\mathrm{000}\:\mathrm{on}\:\mathrm{the}\:\mathrm{depreciated}\:\mathrm{value}. \\ $$

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