Solve the problem.
-A computer is purchased for $4300. Its value each year is about 79% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function Find the value of the computer after 8 years.
A)$515.36
B)$27,176.00
C)$652.36
D)$407.14

Question

Solve the problem.
-A computer is purchased for $4300. Its value each year is about 79% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function  Find the value of the computer after 8 years.
A)$515.36 
B)$27,176.00 
C)$652.36 
D)$407.14

Quizplus · Accepted Answer

We can plug in $t=8$ into the given exponential function to find the value of the computer after 8 years:
$V(8)=11e^{-0.21\cdot 8}\cdot 4300 \approx \boxed{652.36}$
Therefore, the answer is choice C. To find the value of the computer after 8 years, we need to substitute t = 8 in the given function: 
V(8) = 4300*0.79^8 
V(8) ≈ 652.36 
Therefore, the value of the computer after 8 years is approximately $652.36. So, the correct option is C.

Solve the Problem. -A Computer Is Purchased for $4300. Its Value Each Year