Answer: The car is 6.6 years old.
Step-by-step explanation:
Hi, to answer this question we have to replace the values in the equation given:
Y = 1/2 (half the value)
A = 1 (total value)
r =10% = 0.10 (decimal form)
Replacing:
y = A(1-r)^t
1/2 = 1 (1-0.10)^t
Solving for t:
(1/2)/1 = 0.9^t
1/2 = 0.9^t
log 1/2 = log 0.9^t
log 1/2 = (t) log 0.9
(log 1/2)/ log 0.9 = t
6.57 =t
6.6 years (rounded)
