Sure, let's solve each question step-by-step.
Question 13:
Joanne earns [tex]$3,000 per month and her taxes are 28% of her pay. We need to find her monthly take-home pay after taxes.
1. Calculate the taxes paid:
- Joanne’s monthly income is $[/tex]3,000.
- The tax rate is 28%.
- Taxes paid = [tex]\(3,000 \times 0.28 = 840\)[/tex] dollars.
2. Calculate the take-home pay:
- Take-home pay = Monthly income - Taxes paid.
- Take-home pay = [tex]\( 3,000 - 840 = 2,160 \)[/tex] dollars.
Hence, her monthly take-home pay is \$2,160, which corresponds to option A.
Question 14:
Gene was 60 inches tall on his 16th birthday and 69 inches tall on his 19th birthday. We need to determine the percentage increase in his height over these three years.
1. Calculate the height increase:
- Initial height (at 16 years) = 60 inches.
- Final height (at 19 years) = 69 inches.
- Height increase = Final height - Initial height.
- Height increase = [tex]\(69 - 60 = 9 \)[/tex] inches.
2. Calculate the percent increase:
- Percent increase = [tex]\( \frac{{\text{Height increase}}}{{\text{Initial height}}} \times 100 \)[/tex].
- Percent increase = [tex]\( \frac{9}{60} \times 100 = 15\% \)[/tex].
Therefore, Gene's height increased by 15%, which corresponds to option D.
