The selling price of a car is $15,000. Each year, it loses 12% of its value.
Which function gives the value of the cart years after its purchase?
Select the correct answer below:
f(t) = 15,000(0.12)
f(t) = 15,000(1.12)
f(t) = 15,000(1.88)
f(t) = 15,000(0.88)
f(t) = 15,000 – (0.12)​

Respuesta :

Answer:

f(t) = 15,000(0.88)

Step-by-step explanation:

Applying the formula for the car deprecation we have

[tex]f(t)=P(1-\frac{r}{100} )^n[/tex]

Where,

A is the value of the car after n years,

P is the purchase amount,

R is the percentage rate of depreciation per annum,

n is the number of years after the purchase.

1. The depreciated value of the car after 1 yr is ​

n=1

[tex]f(t)= 15000(1-\frac{12}{100} )^1\\\f(t)= 15000(1-0.12 )\\\f(t)= 15000(0.88)[/tex]

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