Emma has a gross annual income of €45 000. Emma pays income tax on her taxable income at a rate of 20% on the first €35 300, and 40% on the balance. She has annual tax credits of €1650.

(a) Work out Emma’s net income, after income tax has been deducted.

(b) Naya’s net annual income, after income tax has been deducted, is €36 560.

Naya pays income tax at the same rates and has the same annual tax credits as Emma. Work out Naya’s gross annual income.

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Explain how you can use the associative property to evaluate (7x50)x4.

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to