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san4es73 [151]
2 years ago
13

The selling price of a car is $13,500. Each year, it loses 11% of its value. Find the exponential function that gives the value

of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.
Mathematics
1 answer:
Katen [24]2 years ago
4 0

Answer:

f(t) = 13,500(0.89)^t

Step-by-step explanation:

The formula for the exponential function is given as f(t) = a(b)^t

Where,

base value = a = $13,500

b = 1 - % decrease = 1 - 11% = 1 - 0.11

b = 0.89

Substitute the values of a and b into the exponential function, f(t) = a(b)^t, respectively.

Thus:

f(t) = 13,500(0.89)^t

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<u>Using Section Formula.</u>

<u />If \ the \ line \ segment \ AB \ where  \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \  the \ points \  of \  P  \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}<u />

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<u />

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