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18 December, 07:44

Orb the value of a tv is $1500, and it's value decreases by 14% each year, how do I write a function that represents the value y of the tv after t years

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  1. 18 December, 08:12
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    Step-by-step explanation:

    the value of a tv is $1500, and it's value decreases by 14% each year. The rate of decrease is exponential. We would apply the formula for exponential growth which is expressed as

    A = P (1 - r/n) ^ nt

    Where

    A represents the value of the tv after t years.

    n represents the period of decrease

    t represents the number of years.

    P represents the initial value of the tv.

    r represents rate of decrease.

    From the information given,

    P = 1500

    r = 14% = 14/100 = 0.14

    n = 1

    Therefore, the function that represents the value y of the tv after t years is

    A = 1500 (1 - 0.14/1) ^ 1 * t

    A = 1500 (0.86) ^t
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