Question
4. If the sales tax is \( 7 \% \), how much tax will you pay on a CD that costs \( \$ 15 \) ? 5. In Smallville, 2,400 out of 20,000 workers are unemployed. In Biatown. 6750 ?
Ask by Chan Blake. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**4. Sales Tax Calculation**
The tax on a \( \$15 \) CD at a \( 7\% \) sales tax rate is \( \$1.05 \).
---
**5. Unemployment Rates**
- **Smallville**: 12% of workers are unemployed.
- **Biatown**: Cannot determine the unemployment rate with the given information.
Solution
**4. Calculating the Sales Tax**
The sales tax for a CD that costs \( \$15 \) at a rate of \( 7\% \) is calculated by multiplying the cost by the tax rate:
\[
\text{Tax} = 15 \times 0.07 = 1.05
\]
So, the tax paid on this CD is \( \$1.05 \).
---
**5. Calculating the Unemployment Rate**
For Smallville, there are 2,400 unemployed workers out of a total of 20,000 workers. The unemployment rate is given by
\[
\text{Unemployment Rate} = \frac{\text{Number of unemployed}}{\text{Total number of workers}} \times 100\%
\]
Substituting the given values:
\[
\text{Unemployment Rate}_{\text{Smallville}} = \frac{2400}{20000} \times 100\% = 12\%
\]
For Biatown the problem statement only provides the number "6750" without specifying the total number of workers. Without knowing how many workers there are in Biatown, we cannot compute the unemployment rate there. If additional information becomes available (for example, the total number of workers), the unemployment rate would be calculated using the same formula:
\[
\text{Unemployment Rate}_{\text{Biatown}} = \frac{6750}{\text{Total Workers in Biatown}} \times 100\%
\]
As it stands, the unemployment rate in Biatown cannot be determined with the given data.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
To calculate the sales tax on a CD that costs $15 with a tax rate of 7%, you simply multiply the cost by the tax rate: \( 15 \times 0.07 = 1.05 \). So, you will pay $1.05 in sales tax, making the total cost of the CD $16.05. Yay for music and math! In Smallville, if 2,400 out of 20,000 workers are unemployed, that’s an unemployment rate of 12%. To find out the unemployment rate in Biatown with 6,750 unemployed, you need to know how many workers are in Biatown to calculate the percentage. It’s always good to have that context so you can compare towns effectively!