kyle buys a car for $58,000. his car immediately starts depreciating, losing 23% of its value every year…

kyle buys a car for $58,000. his car immediately starts depreciating, losing 23% of its value every year. how much will the car be worth in 12 years? if necessary, round your answer to the nearest cent. $

kyle buys a car for $58,000. his car immediately starts depreciating, losing 23% of its value every year. how much will the car be worth in 12 years? if necessary, round your answer to the nearest cent. $

Answer

Explanation:

Step1: Identificar la fórmula de depreciación

La fórmula de depreciación es $A = P(1 - r)^t$, donde $P$ es el valor inicial, $r$ es la tasa de depreciación y $t$ es el tiempo en años.

Step2: Asignar valores

Tenemos $P = 58000$, $r=0.23$ y $t = 12$.

Step3: Calcular el valor final

$A=58000\times(1 - 0.23)^{12}=58000\times(0.77)^{12}$. Calculando $(0.77)^{12}\approx0.04377$. Luego $A = 58000\times0.04377 = 2538.66$.

Answer:

$2538.66$