Jake bought a car for $15,000. Each year the value goes down by 30% of its value the previous year.

Write the expression that gives the value(V) after (t)years.

v = 15000 * .7^t

To find the value of the car after a certain number of years, we can use the equation for exponential decay, which is:

V = P * (1 - r)^t

Where:
V = Value after t years
P = Initial value (in this case, $15,000)
r = Rate of decay (in this case, 30% or 0.3 as a decimal)
t = Number of years

Now we can substitute the given values into the equation:

V = 15000 * (1 - 0.3)^t

Simplifying this expression gives us the equation:

V = 15000 * (0.7)^t

Thus, the expression that gives the value (V) after (t) years is V = 15000 * (0.7)^t.