A car purchased for $20,000 depreciates annually at a rate of 8%. The value of the cart years after its purchase is given by the expression 20000(0.92)
Which expression represents the monthly depreciated value at the rate at which the car is depreciating?
O 20,000 0.92.1)*
O 20,000(0. 922) #
O 20,000[o. 92 1]'
O 20,000(0.9212) 120

Respuesta :

Answer:O 20,000(0.9212) 120

Step-by-step explanation:

The expression that represents the monthly depreciated value at the rate at which the car is depreciating is [tex]20000(0.92)^{\frac t{12}}[/tex]

The expression that represents the yearly depreciation of the value of the car is given as:

[tex]20000(0.92)^t[/tex]

There are 12 months in a year.

So, we divide the exponent t by 12 to calculate the monthly depreciation.

So, we have:

[tex]20000(0.92)^{\frac t{12}}[/tex]

Hence, the expression that represents the monthly depreciated value at the rate at which the car is depreciating is [tex]20000(0.92)^{\frac t{12}}[/tex]

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