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9 August, 08:17

If 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. 9 August, 08:22
    0
    value of the tv = $1500

    Decrease rate per year = 14%

    14% of $1500 = (14 x 1500) / 100

    14% of $1500 = 21000/100

    14% of $1500 = 210

    In first year depreciation would be y - 210 (t) = 1500 - 210 (1) = 1290

    The function to calculate y after t years would be : y - 210 (t)

    The function would be y - 210 (t)
  2. 9 August, 08:47
    0
    Step-by-step explanation:

    If the value of the TV decreases by 14% each year, then the rate is exponential.

    We would apply the formula for exponential growth which is expressed as

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

    Where

    A represents the price of the TV after t years.

    n represents the periodic rate at which the decrease is calculated.

    t represents the number of years.

    P represents the initial price of the TV.

    r represents rate of decrease in value of the TV.

    From the information given,

    P = $1500

    r = 14% = 14/100 = 0.14

    n = 1

    A = y

    Therefore, the function would be

    y = 1500 (1 + 0.14/1) ^ 1 * t

    y = 1500 (1.14) ^t
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