Subjects algebra

Solve For A2 65C5Dc

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1. **Stating the problem:** We are given the equation $35,45 = 26,497 + A_2 \times 24,72\%$ and need to solve for $A_2$. 2. **Rewrite the equation:** Convert the percentage to decimal form: $24,72\% = 0.2472$. 3. **Isolate $A_2$:** $$ 35.45 = 26.497 + A_2 \times 0.2472 $$ Subtract $26.497$ from both sides: $$ 35.45 - 26.497 = A_2 \times 0.2472 $$ $$ 8.953 = A_2 \times 0.2472 $$ 4. **Solve for $A_2$ by dividing both sides by $0.2472$:** $$ A_2 = \frac{8.953}{0.2472} $$ Show cancellation: $$ A_2 = \frac{\cancel{8.953}}{\cancel{0.2472}} \approx 36.22 $$ 5. **Final answer:** $$ A_2 \approx 36.22 $$ This means $A_2$ is approximately 36.22 when the given equation holds true.