Question

The value of a game console decreases by 60% each year. If you purchased this game console today for $150, how much would it be worth 2 years later? Please help me work through this problem.

Answer 1

after 1st year 60\[60/100 * 150 =90\]

then after 2nd year \[40/100*90 =24\]

24 is the answer finally

Answer 2

\[150(.4)^2\]after two years it would be worth

Answer 3

reason as follows. since it decreases by 60% each year, it retains 40% of its value. 40% of 150 for the first year, then 40% of that amount for the next year.
year one:
\[150\times .4=60\]
year two
\[60\times .4=24\] or we could get this directly via
\[150(.4)^2=24\]