Suppose that the dollar value v(t) of a certain car that is t years old is given by the following exponential function. v(t) = 21, 300 * (1.24) ^ t
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Given:-
[tex]v(t)=21300(1.24)^t[/tex]To find the initial value, does the fucnction represent growth or decay.
Here the value of a is 21300.
So we get,
[tex]1+r=1.24[/tex]So the value of r is,
[tex]r=0.24[/tex]So now we get percentage is,
[tex]24\%[/tex]Rate of change is 24%.
So the required solution is,
[tex]initial\text{ value =21300}[/tex]So the percentage range is,
[tex]24\%[/tex]