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Answer :
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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