a new car is purchased for 15500 dollars. the value of the car depreciates at 7.5% per year. what will the…

a new car is purchased for 15500 dollars. the value of the car depreciates at 7.5% per year. what will the value of the car be, to the nearest cent, after 6 years?

a new car is purchased for 15500 dollars. the value of the car depreciates at 7.5% per year. what will the value of the car be, to the nearest cent, after 6 years?

Answer

Explanation:

Step1: Escribir la fórmula de depreciación

La fórmula para el valor depreciado ( V = P(1 - r)^t ), donde ( P = 15500 ) (valor inicial), ( r=0.075 ) (tasa de depreciación) y ( t = 6 ) (años).

Step2: Calcular ( 1 - r )

( 1 - 0.075=0.925 )

Step3: Calcular ( (1 - r)^t )

( (0.925)^6\approx0.632147 )

Step4: Calcular ( V )

( V = 15500\times0.632147\approx9808.28 )

Answer:

( 9808.28 )