Higher June 2024 Paper 3 Q4
4 A company has 25 000 workers.
The number of workers increases at a rate of 6% per year for 3 years.
Calculate the total number of workers at the end of the 3 years. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 29 775 | P1 | for evidence of using a correct first step eg \(25\,000 \times 0.06\ (= 1500)\) or \(25\,000 \times 1.06\ (= 26\,500)\) |
| P1 | for evidence of a "compound interest" process eg \(\text{``}26\,500\text{''} \times 0.06\ (= 1590)\) or \(\text{``}26\,500\text{''} \times 1.06\ (= 28\,090)\) or \(25\,000 \times 1.06^t,\ t \geqslant 2\) | |
| P1 | for a complete process eg \(25\,000 \times 1.06^3\ (= 29\,775.4)\) | |
| A1 | for 29 775 or 29 776 or 29 780 or 29 800 SCB1 for 3000 or 4500 or 28000 or 29500 seen if P0 scored |
Additional guidance
P3A0 is implied by 4775 or 4776 or 4780 or 4800