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**mathaction** An item costs $600 at time *t* = 0 and costs $*P* in year *t*. When inflation is *r*% per year, the price is given by the following equation.

*P* = 600*e^(rt/100)*

(a) If *r* is a constant, at what rate is the price rising (in dollars per year) initially?

At what rate is the price rising after 2 years?

(b) Now suppose that *r* is increasing by 0.3 per year when *r* = 4 and *t* = 2. At what rate (dollars per year) is the price increasing at that time?

i would appreciate some quick help here please...thanks