Tenzin has purchased a minivan for $35 000. The value (V), in dollars, of the minivan as a function of time (t), in years, depreciates according to the function
V(t) = 35000(0.5)^t/3. How long will it take for Tenzin's minivan to depreciate to 15% of its initial value?
(Equation included below for clarity).
​

About 8.2 years.

Step-by-step explanation:

The minivan was purchased for $35,000 and it depreciates according to the function:

Where t is the time in years.

And we want to determine how long it will take for the minivan to depreciate to 15% of its initial value.

First, find 15% of the initial value. This will be:

Therefore:

Solve for t. Divide both sides by 35000:

We can take the natural log of both sides:

Using logarithmic properties:

Therefore:

So, it will take about 8.2 years for Tenzin's minivan to depreciate to 15% of its initival value.

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a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|