QuestionGugulethu's car costs R 258400 and depreciates at 14% per year. Find the equation for its value after 3 years.

Studdy Solution

STEP 1

Assumptions1. The initial cost of the car is R258400. The car depreciates at a rate of14% per year3. We want to find the value of the car after3 years

STEP 2

The value of the car after each year is represented by the initial cost of the car multiplied by the depreciation factor. The depreciation factor is1 minus the depreciation rate.
$v = Initial\, cost \times (1 - Depreciation\, rate)^{Number\, of\, years}$

STEP 3

Now, plug in the given values for the initial cost, depreciation rate and number of years to form the equation.
$v = R258400 \times (1 -14\%)^{3}$

STEP 4

Convert the percentage to a decimal value.
$14\% =0.14$ $v = R258400 \times (1 -0.14)^{3}$

STEP 5

Calculate the value inside the parentheses.
$1 -0.14 =0.86$ $v = R258400 \times (0.86)^{3}$ So, the correct answer is option c. $v=258400(0,86)^{3}$

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