Chapter A4, Problem 6E

The price in dollars of a house during a period of mild inflation is described by the formula P(t)=96000e^0.05t where t is the number of years after 1990. Answer the following questions: A. The value of the house in the year 2000 will be  ___________ dollars. (Round your answer to the nearest dollar.)   B. In the year 2000 the value will be increasing at a rate of ____________ dollars per year. (Round your answer to the nearest dollar.)   C. How long will it take for a house to double in value? Answer: _____________ years. (Round your answer to two decimal places.)

The exponential function f(x)=abx contains the points (0,2) and (-3,54).Write the conditions as exponential equations involving the variables aa and bb.The point(0,2) gives the equation    .The point (-3,54) gives the equation    .Find the values of aa and bb that satisfy these equations.a=b=