a new car is purchased for 27,100 dollars. the value of the car depreciates at a rate of 7% per year. which…

a new car is purchased for 27,100 dollars. the value of the car depreciates at a rate of 7% per year. which equation represents the value of the car after 6 years?\nanswer\n$v = 27,100(0.93)^6$\n$v = 27,100(1.07)^6$\n$v = 27,100(0.07)^6$\n$v = 27,100(1 - 0.07)(1 - 0.07)(1 - 0.07)(1 - 0.07)$

a new car is purchased for 27,100 dollars. the value of the car depreciates at a rate of 7% per year. which equation represents the value of the car after 6 years?\nanswer\n$v = 27,100(0.93)^6$\n$v = 27,100(1.07)^6$\n$v = 27,100(0.07)^6$\n$v = 27,100(1 - 0.07)(1 - 0.07)(1 - 0.07)(1 - 0.07)$

Answer

Answer:

A. $V = 27100(0.93)^{6}$

Explanation:

Step1: Identificar la tasa de depreciación

La tasa de depreciación es del 7% o 0.07. Entonces, el factor de depreciación es $1 - 0.07=0.93$.

Step2: Aplicar la fórmula de depreciación

La fórmula para la depreciación exponencial es $V = P(1 - r)^{t}$, donde $P$ es el valor inicial, $r$ es la tasa de depreciación y $t$ es el tiempo en años. Aquí, $P = 27100$, $r = 0.07$ y $t = 6$. Sustituyendo estos valores, obtenemos $V = 27100(0.93)^{6}$.