vani has a collection of vintage action figures that is worth $140. if the collection appreciates at a rate…

vani 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$

vani 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

Explanation:

Step1: Recall compound - growth formula

The formula for compound growth is $V = P(1 + r)^t$, where $P$ is the initial value, $r$ is the rate of growth as a decimal, and $t$ is the number of time - periods.

Step2: Identify the values given

Here, $P=$140$, $r = 0.15$ (since 15%=0.15), and $t = 2$ years.

Step3: Substitute values into formula

Substituting the values into the formula $V = P(1 + r)^t$, we get $V=140(1 + 0.15)^2$.

Answer:

$V = 140(1 + 0.15)^2$ (the last option)