1 Answer

Simont · Answer 1 · 2023-03-04T06:15:03+0000

Solution:

The function is given below as

Step 1:

To figure out the value of the car after 7 years, we will put t=7

$\begin{gathered} v(t)=24,500(0.80)^(t) \\ v(t)=24,500(0.80)^7 \\ v(t)=5,138 \end{gathered}$

Hence,

The value of the car after 7 years will be

$\Rightarrow\text{ \$}5138$

Step 2:

To figure out the value of the car after 12 years, we will put t=12

$\begin{gathered} v(t)=24,500(0.80)^(t) \\ v(12)=24500(0.80)^(12) \\ v(12)=1683.63 \\ v(12)\approx\text{ \$}1684 \end{gathered}$

Hence,

The value of the car after 12 years to the nearest dollar will be

$\Rightarrow\text{ \$}1684$

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