Question

A car valued at £18000 at the start of 2017, depreciated in value by 5% each year for 3 years. How much did it lose in value over this period?

Answer 1

The amount lost over the 3 years s 2567.25£

Step-by-step explanation:

`$\mathrm{F}=\mathrm{I} *\left(1-\left((r)/(100)\right)\right)^{\mathrm{n}}$`

where F = final value after n years

I = initial value of the car in 2017 = £18000 (given)

Since the value is depreciated 5% every year for 3 years,

r = percentage rate of depreciation = 5% (given)

n = 3 years

Substituting these values in formula, we get

`$\mathrm{F}=18000 *\left(1-(5)/(100)\right)^(3)$`

=
`$18000 *\left((95)/(100)\right)^(3)$`

= 15432.75£ which is the value of the car after 3 years

Finally 18000-15432.75 = 2567.25£ is the amount lost over this period.