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23 February, 09:37

The value of a $1200 computer decreases 2.7% annually.

A. Write an equation that gives the price (y) of the computer in x years.

B. What will the value of the computer be after 3 years?

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  1. 23 February, 09:44
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    The equation is y=1200 (1-0.027) ˣ, which can also be written as y=1200 (0.973) ˣ.

    The computer will be worth $1105.40 after 3 years.

    Exponential equations are written in the form y=abˣ, where b=1+r (rate of increase or decrease as a decimal number) and a is the initial amount. The initial amount of the computer is 1200, and the rate of decrease is 2.7, so - 0.027. Putting 3 in for the exponent (number of years) we get:

    y=1200 (0.973) ³=1105.40.
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