In 2008, the social security percentage was 6.2% for the first $102,000 earned. the medicare percentage was 1.45% of your entire salary. darby made $143,000 in 2008.a.  write the combined taxes,  y, as a piecewise function where  x  represents the income. b.  how much did darby pay in social security tax? c.  how much did darby pay in medicare tax?

Let x be the income.

Let y be the combined taxes.

When then the income is less than maximum taxable income. Hence, we will pay social security tax on the whole income.

Social security tax =

When then we will pay social security on the maximum taxable income.

Social security tax = dollars

Hence, Darby paid $6324 in Social Security tax.

Medicare tax will be =

So, Darby paid in medicare tax = dollars

Now combined tax or y = social security tax plus medicare tax

So,  when x<102000

and  when x≥102000

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