Subjects algebra

Stepwise Calculations D8F157

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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.