Subjects algebra

Tax Percentages F0C862

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1. Problem 1.3: Find the total percentage of annual salary Lauras far pays in arbejdsmarkedsbidrag and A-skat. 2. Given: - Annual salary = 496800 - Arbejdsmarkedsbidrag = 39744 - Remaining after both taxes = 343445 3. Calculate total tax paid: $$\text{Total tax} = 496800 - 343445 = 153355$$ 4. Calculate percentage of total tax relative to annual salary: $$\text{Percentage} = \frac{153355}{496800} \times 100$$ 5. Show intermediate cancellation: $$\frac{\cancel{153355}}{\cancel{496800}} \times 100$$ 6. Calculate: $$\text{Percentage} \approx 30.88\%$$ --- 1. Problem 1.4: Find Lauras mors årlige løn given she pays 35% tax and has same leftover as Lauras far. 2. Let Lauras mors annual salary be $x$. 3. She pays 35% tax, so leftover is 65% of $x$: $$0.65x = 343445$$ 4. Solve for $x$: $$x = \frac{343445}{0.65}$$ 5. Show intermediate cancellation: $$x = \frac{\cancel{343445}}{\cancel{0.65}}$$ 6. Calculate: $$x \approx 528377$$ Final answers: - 1.3: Lauras far pays approximately 30.88% of his annual salary in total taxes. - 1.4: Lauras mors årlige løn is approximately 528377.