mi Student Edu Op05-Finley-Alge.Jose Vilmard - Kami Export - Algebra 2-Section 10-Topic 5-Warm Up-Question.pdf+100%ATurnirSection 10 - Topic 5Introduction to Geometric Series - Part 124Monica wants to buy a used car, but she knows the car will depreciatein value by 6.5% annually. If she buys the car for $25,000 answer thefollowing questions;A. What equation will model the amount, A, the car is worth in yyears?B. How much will the car be worth in 3 years?C. How much value is lost in 5 years?

Respuesta :

The equation which represent the worth of car after y years is,

[tex]\begin{gathered} A=25000(1-\frac{6.5}{100})^y \\ =25000(1-0.065)^y \\ =25000(0.935)^y \end{gathered}[/tex]

Part b:

Substitute 3 for y in the equation to obtain the worth of car after 3 years.

[tex]\begin{gathered} A=25000(0.935)^3 \\ \approx20435.00 \end{gathered}[/tex]

The worth of car after 3 years is $20435.00.

Part C:

Determine the worth of car after 5 years.

[tex]\begin{gathered} A=25000(0.935)^5 \\ =17864.796 \\ \approx17864.80 \end{gathered}[/tex]

Determine the value lost in 5 years.

[tex]25000-17864.80=7135.2[/tex]

The value of car lost in 5 years is $7135.2.