Respuesta :
Answer:
[tex]\$105.47[/tex]
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
[tex]V=P(1-r)^{x}[/tex]
where
V is the depreciated value
P is the original value
r is the rate of depreciation in decimal
x is Number of Time Periods
in this problem we have
[tex]P=\$250\\r=25\%=25/100=0.25\\x=3\ years[/tex]
substitute
[tex]V=250(1-0.25)^{3}[/tex]
[tex]V=250(0.75)^{3}[/tex]
[tex]V=\$105.47[/tex]
Answer and Step-by-step explanation:
After three years the worth of it will be [tex]$105.47[/tex]
We know that each year, it's worth 75% of what it was, giving us :
[tex]=0.75*W[/tex] (Note that "W" means "Worth")
Now we calculate it in three years time so,
The first year is :[tex]250*0.75 = $187.50[/tex]
The second year is :[tex]187.5*0.75 = $140.625[/tex]
The third year is :[tex]140.625*0.75 = $105.47[/tex]
Now, we have our answer :
After three years time the worth of it is [tex]$105.47[/tex]