6. a boat costs $11,850 and decreases in value by 10% per year. how much will the boat be worth after 8…

6. a boat costs $11,850 and decreases in value by 10% per year. how much will the boat be worth after 8 years?\n$25,401.53\n$11,770.00\n$5,101.04\n$4,590.93

6. a boat costs $11,850 and decreases in value by 10% per year. how much will the boat be worth after 8 years?\n$25,401.53\n$11,770.00\n$5,101.04\n$4,590.93

Answer

Explicación:

Paso 1: Identificar la fórmula de depreciación

La fórmula para la depreciación exponencial es $A = P(1 - r)^t$, donde $A$ es el valor final, $P$ es el valor inicial, $r$ es la tasa de depreciación y $t$ es el tiempo en años. Aquí, $P=$11850$, $r = 0.1$ (ya que 10% = 0.1) y $t = 8$.

Paso 2: Sustituir valores en la fórmula

$A=11850\times(1 - 0.1)^8=11850\times0.9^8$.

Paso 3: Calcular $0.9^8$

$0.9^8=0.43046721$.

Paso 4: Calcular el valor final $A$

$A = 11850\times0.43046721\approx5101.04$.

Respuesta:

C. $5101.04$