Answer:
by 16.61 cents per year
Explanation:
P = Po(1.08)^t
How fast are prices increasing?
The rate of increase:
dP/dt = d/dt(Po(1.08)^t)
= d/dt((1.08)^t)
We use derivative formula of exponential function as we continue solving this problem
dP/dt = (1.08)^t x ln(1.08)
dP/dt = ln(1.08)x(1.08)^t
Now t value = 10,
P'(10) = ln(1.08)x(1.08)^10
= 0.07696x2.1589
= 0.1661 dollars and 16.61 cents per year
In conclusion, prices are rising by 16.61 cents per year.
