Answer:
The computer's value after 5 years is $65.63 .
Step-by-step explanation:
The decreasing exponential function is given by
[tex]y = a (1 - r)^{t}[/tex]
Where a is the intial value, r is the rate of interest in the decimal form and t is the time in years .
As given
You buy a new computer for $2100.
The computer's value decreases by 50% annually for 5 years .
a = $2100
50% is written in the decimal form
[tex]= \frac{50}{100}[/tex]
= 0.50
r = 0.50
t = 5 years
Put all the value in the decreasing exponential function
[tex]y = 2100(1 - 0.50)^{5}[/tex]
[tex]y = 2100(0.5)^{5}[/tex]
[tex]y = 2100\times 0.03125[/tex]
y = $65.63
Therefore the computer's value after 5 years is $65.63 .
