question\nvani has a collection of vintage action figures that is worth $140. if the collection appreciates…

question\nvani has a collection of vintage action figures that is worth $140. if the collection appreciates at a rate of 15% per year, which equation represents the value of the collection after 2 years?\nanswer\n$v = 140(0.85)^2$\n$v = 140(0.15)^2$\n$v = 140(1 - 0.15)^2$\n$v = 140(1 + 0.15)^2$

question\nvani has a collection of vintage action figures that is worth $140. if the collection appreciates at a rate of 15% per year, which equation represents the value of the collection after 2 years?\nanswer\n$v = 140(0.85)^2$\n$v = 140(0.15)^2$\n$v = 140(1 - 0.15)^2$\n$v = 140(1 + 0.15)^2$

Answer

Answer:

D. $V = 140(1 + 0.15)^2$

Explanation:

Step1: Identificar la fórmula de crecimiento

La fórmula para el valor $V$ de un activo que crece a una tasa $r$ en $t$ años con un valor inicial $P$ es $V=P(1 + r)^t$.

Step2: Asignar valores

Tenemos $P = 140$, $r=0.15$ (15% expresado como decimal) y $t = 2$.

Step3: Sustituir valores en la fórmula

Sustituyendo en $V=P(1 + r)^t$, obtenemos $V = 140(1+0.15)^2$.