gage bought a new car for $29000 to use while he is away at college. The car decreases in value by 11% annually. What would the cars value after 4 years?

Respuesta :

Answer:

$18195.25

Step-by-step explanation:

$29000×0.89^(4)=$18195.25

The value of the gauge car after 4 years will be $18195.25.

What is compound interest?

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given,

Principle amount (P)  = $29000

Rate of decrement (R) = 11%

Time period(T) = 4 years

Percentage decrement over T time period is given by

Final amount = P[tex][1 - R/100]^{T}[/tex]

Final amount = 29000[tex][1 - 11/100]^{4}[/tex]

Final amount = 29000(0.89)⁴

Final amount = $18195.25.

Hence, The value of the gauge car after 4 years will be $18195.25.

For more information about compound interest,

brainly.com/question/26457073

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