In 1998, Lisa earned $149,461.20. The Social Security maximum taxable was $68,400, and the Social Security percent was 6.2%

In what month did Lisa hit the maximum taxable Social Security income?

Respuesta :

Given

Lisa earned $149,461.20

The Social Security maximum taxable was $68,400, and the Social Security percent was 6.2%

Find out in  what month did Lisa hit the maximum taxable Social Security income.

To proof

As given in the question

In 1998, Lisa earned $149,461.20 i.e lisa annual income is $149,461.20 in 1998.

A year is consist of 12 months

[tex]Earning\ per\ month = \frac{149461.20}{12}[/tex]

Earning per month = $12455.1

As given in the question

Social Security maximum taxable was $68,400

Let us assume that the  month did Lisa hit the maximum taxable Social Security income be x.

Than the inequality becomes

[tex]\frac{security\ maximum\ taxable}{earning\ per\ month} =\geq x[/tex]

put the value

[tex]\frac{68400}{12455.1} \geq x[/tex]

5. 49 ( approx) ≥ x

5.49 months ≥ x

This shows the last contribution was  on the june month.

Hence proved