katecarril katecarril
  • 07-03-2018
  • Mathematics
contestada

Alex purchased a new car for $28000. The car depreciates 7.25% each year. what will the price be in 5 years?

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iGreen
iGreen iGreen
  • 07-03-2018
Use the depreciation formula.

[tex]\sf p(1-r)^n[/tex]

Where 'p' is the principal value, 'r' is the rate it depreciates, and 'n' is the time. Just plug in what we know:

[tex]\sf 28000(1-0.0725)^5[/tex]

Simplify by subtracting:

[tex]\sf 28000(0.9275)^5[/tex]

Simplify the exponent:

[tex]\sf 28000(0.6864)[/tex]

Multiply:

[tex]\sf\approx\boxed{\sf\$ 19219.20}[/tex]
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