Answer
The answer is $5$ years.
Work Step by Step
The value of the new car is $ \$13,805 $.
Let after $ t$ years its value be $ \$4705 $.
Total value decrease in $t$ years time $ =\$ 1820 \times t $.
$ 13805-1820t=4750 $
Subtract $13805$ from both sides.
$ 13805-1820t-13805=4750-13805 $
Simplify.
$ -1820t = -9055 $
Divide both sides by $-1820$.
$\frac{-1820t}{-1820}=\frac{-9055}{-1820}$
Simplify.
$ t= \frac{9055}{1820} $
$ t=4.9753 $
Round to the nearest integer.
$ t=5 $.
