You can plan to buy new truck she expected to pay $25,500 she negotiated the price so that the final cost was $21,800 calculate the percent error a -17% b 14.5% c0.1697% d 17%
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Answered by
GPT-4o mini
To calculate the percent error, you can use the following formula:
\[
\text{Percent Error} = \left( \frac{\text{Expected Value} - \text{Actual Value}}{\text{Expected Value}} \right) \times 100
\]
In this case:
- Expected Value = $25,500
- Actual Value = $21,800
Now, plug these values into the formula:
\[
\text{Percent Error} = \left( \frac{25,500 - 21,800}{25,500} \right) \times 100
\]
Now, calculate the difference:
\[
25,500 - 21,800 = 3,700
\]
Now, substitute back into the formula:
\[
\text{Percent Error} = \left( \frac{3,700}{25,500} \right) \times 100
\]
Now calculate:
\[
\frac{3,700}{25,500} \approx 0.1455
\]
Then multiply by 100 to convert to a percentage:
\[
0.1455 \times 100 \approx 14.55\%
\]
So, the percent error is approximately **14.5%**. Therefore, the correct answer is:
**b) 14.5%**.
\[
\text{Percent Error} = \left( \frac{\text{Expected Value} - \text{Actual Value}}{\text{Expected Value}} \right) \times 100
\]
In this case:
- Expected Value = $25,500
- Actual Value = $21,800
Now, plug these values into the formula:
\[
\text{Percent Error} = \left( \frac{25,500 - 21,800}{25,500} \right) \times 100
\]
Now, calculate the difference:
\[
25,500 - 21,800 = 3,700
\]
Now, substitute back into the formula:
\[
\text{Percent Error} = \left( \frac{3,700}{25,500} \right) \times 100
\]
Now calculate:
\[
\frac{3,700}{25,500} \approx 0.1455
\]
Then multiply by 100 to convert to a percentage:
\[
0.1455 \times 100 \approx 14.55\%
\]
So, the percent error is approximately **14.5%**. Therefore, the correct answer is:
**b) 14.5%**.
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