1. **State the problem:**
Calculate the values step-by-step based on the given expressions.
2. **Part a:** Calculate $93\,600 - 2\,000$.
$$93\,600 - 2\,000 = 91\,600$$
3. **Part b:** Calculate $5092 + 0.30 \times (91\,600 - 45\,000) \div 19\,072$.
First, calculate the subtraction inside the parentheses:
$$91\,600 - 45\,000 = 46\,600$$
Then multiply by 0.30:
$$0.30 \times 46\,600 = 13\,980$$
Now add 5092:
$$5092 + 13\,980 = 19\,072$$
Finally, divide by 19,072:
$$\frac{19\,072}{19\,072} = 1$$
4. **Part c:** Calculate $91\,600 \times 2\%$.
Recall that $2\% = \frac{2}{100} = 0.02$.
$$91\,600 \times 0.02 = 1\,832$$
5. **Part d:** Calculate $19\,072 + 1\,832$.
$$19\,072 + 1\,832 = 20\,904$$
6. **Part e:** Calculate $20\,904 \times 100 \div 2\,282$.
First multiply:
$$20\,904 \times 100 = 2\,090\,400$$
Then divide:
$$\frac{2\,090\,400}{2\,282} \approx 915.88$$
7. **Summary:**
- a) $91\,600$
- b) $1$
- c) $1\,832$
- d) $20\,904$
- e) $915.88$ (approximate)
This completes the calculations for the first problem.
Stepwise Calculations D8F157
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.