We appreciate your visit to A car s value depreciates at a rate of tex 3 4 tex per year The car was worth tex 30 000 tex when it. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine which equation can be used to find when the car will be worth [tex]$18,500, we need to understand how depreciation works.
1. Understand Depreciation:
- The car depreciates at a rate of 3.4% per year.
- This means each year, the car retains 100% - 3.4% = 96.6% of its value from the previous year.
2. Depreciation Factor:
- Each year, the value of the car is multiplied by 96.6%, or 0.966.
3. Value After x Years:
- If the car's initial value is $[/tex]30,000, after x years, its value will be:
[tex]\[
\text{Value after } x \text{ years} = 30,000 \times (0.966)^x
\][/tex]
4. Set Up the Equation:
- We need to find when the car's value equals [tex]$18,500, so we set up the equation:
\[
18,500 = 30,000 \times (0.966)^x
\]
5. Select the Correct Equation:
- This setup matches option B from the given choices:
- B. \(18500 = 30000 \times (0.966)^x\)
Therefore, option B is the correct equation to determine when the car will be worth $[/tex]18,500.
1. Understand Depreciation:
- The car depreciates at a rate of 3.4% per year.
- This means each year, the car retains 100% - 3.4% = 96.6% of its value from the previous year.
2. Depreciation Factor:
- Each year, the value of the car is multiplied by 96.6%, or 0.966.
3. Value After x Years:
- If the car's initial value is $[/tex]30,000, after x years, its value will be:
[tex]\[
\text{Value after } x \text{ years} = 30,000 \times (0.966)^x
\][/tex]
4. Set Up the Equation:
- We need to find when the car's value equals [tex]$18,500, so we set up the equation:
\[
18,500 = 30,000 \times (0.966)^x
\]
5. Select the Correct Equation:
- This setup matches option B from the given choices:
- B. \(18500 = 30000 \times (0.966)^x\)
Therefore, option B is the correct equation to determine when the car will be worth $[/tex]18,500.
Thanks for taking the time to read A car s value depreciates at a rate of tex 3 4 tex per year The car was worth tex 30 000 tex when it. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
