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Artyom0805 [142]
2 years ago
7

A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be

, to the nearest cent, after 6 years?
Mathematics
1 answer:
Andrei [34K]2 years ago
3 0

Answer:

\$6,082.70  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V 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=\$15,300\\r=14.25\%=0.1425\\x=6\ years

substitute in the formula

V=15,300(1-0.1425)^{6}  

V=15,300(0.8575)^{6}  

V=\$6,082.70  

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Part 1:

The table showing the decreasing debt is shown as follows:

\begin{tabular}
{|c|c|c|c|}
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Part 2:

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Part 3:

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Part 4:

The debt ratio is given by

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