In a study prepared in 2000, the percentage of households using online banking w

Question

In a study prepared in 2000, the percentage of households using online banking was projected to be f(t) = 1.7e^0.79t, (0 lessthanorequalto t lessthanorequalto 4) where t is measured in years, with t = 0 corresponding to the beginning of 2000. (Round your answers to three decimal places.) (a) What was the projected percentage of households using online banking at the beginning of 2002? (b) How fast was the projected percentage of households using online banking changing at the beginning of 2002? (c) How fast was the rate of the projected percentage of households using online banking changing at the beginning of 2002?

Explanation / Answer

In this question you have to find f(2),f'(2), f''(2).as t=0 tepresents 2000. so t=2 will represent 2002.

a) f(2)= 1.7* e^(0.79*2)=8.253

b) f'(2)=0.79*1.7* e^(0.79*2)=8.253*0.79=6.520

c) f''(2)=0.79*0.79*1.7* e^(0.79*2)=5.151

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