How many years after purchase will vishals car be worth $10,000

log(0.4444^(-12))

Step-by-step explanation:

To find when the car will worth $10,000, we just need to use the value of V = 10000 and then find the value of t:

10000 = 22500 * 10^(-t/12)

10^(-t/12) = 0.4444

log(10^(-t/12)) = log(0.4444)

(-t/12)*log(10) = log(0.4444)

-t/12 = log(0.4444)

t = -12 * log(0.4444) = log(0.4444^(-12))

As the answer needs to be expressed as a base 10 logarithm, we have that the car will worth $10,000 when t = log(0.4444^(-12)) years