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

Respuesta :

Answer:

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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