1. **Problem 1: Percent increase in Jack's typing speed** Jack's initial typing speed is 80 words per minute (wpm). After 2 weeks, his speed increased by 3%, so new speed after 2 weeks is: $$80 \times 1.03 = 82.4 \text{ wpm}$$ At the end of the course, Jack typed 1680 words in 20 minutes, so his final speed is: $$\frac{1680}{20} = 84 \text{ wpm}$$ The percent increase from the beginning to the end is: $$\frac{84 - 80}{80} \times 100 = \frac{4}{80} \times 100 = 5\%$$ 2. **Problem 2: New computer loading time** Old computer times: - Graphic: 22 seconds - Paragraph: 9 seconds New computer is 17% faster, so it takes 17% less time: Time reduction factor = $$1 - 0.17 = 0.83$$ New times: - Graphic: $$22 \times 0.83 = 18.26 \text{ seconds}$$ - Paragraph: $$9 \times 0.83 = 7.47 \text{ seconds}$$ Loading 2 graphics and 1 paragraph: $$2 \times 18.26 + 7.47 = 36.52 + 7.47 = 43.99 \text{ seconds}$$ 3. **Problem 3: Computers needed after hiring more employees** Current employees = 80 Current computers = employees minus 1/4 fewer computers: $$80 - \frac{1}{4} \times 80 = 80 - 20 = 60 \text{ computers}$$ Employees after 5% increase: $$80 \times 1.05 = 84 \text{ employees}$$ Computers needed = 84 (one per employee) Additional computers to buy: $$84 - 60 = 24$$ **Final answers:** 1. 5% 2. 43.99 seconds 3. 24 computers