Question

help me with this question please!! fast!

Answer 1

Answer:

Part a) The equation that represent the depreciation is $y=18,000(0.88)^{x}$  

Part b) The value of the car in 8 years is $\ 6,473.42$  

Step-by-step explanation:

Part a)

we know that

The  formula to calculate the depreciated value  is equal to  

$y=P(1-r)^{x}$  

where  

y is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

$P=\ 18,000\\r=12\%=0.12$

substitute in the formula

$y=18,000(1-0.12)^{x}$  

$y=18,000(0.88)^{x}$  ------> equation that represent the depreciation

Part b) Find the value of the car in 8 years

Substitute the value of $x=8\ years$ in the equation and solve for y

$y=18,000(0.88)^{8}=\ 6,473.42$