A computer depreciates at a rate of 15% per year. If the computer is worth $324.50 when it is 5 years old, how much was it worth when it was new? Round your answer to two decimal places

Respuesta :

Answer:

the price of the new computer was [tex]\$ 731.34[/tex]

Explanation:

let's assume that the price of the computer was [tex]\$ x[/tex] when it was new.

As price depreciates at a rate of 15% therefore we can mathematically express this situation when the computer is 5 yrs old as-

              [tex]x\times (1-0.15)^{5}=324.50[/tex]

            or,   [tex]x\times (0.85)^{5}=324.50[/tex]

            or, [tex]x=\frac{324.50}{(0.85)^{5}}[/tex]

             or, [tex]x=731.34[/tex]

So, the price of the new computer was [tex]\$ 731.34[/tex]