Question

Roxy's new employer pays employees bimonthly, which is twice a month. She'll earn $30 per hour with the

new company. She plans to continue making extra money by dog sitting on weekends. Roxy works 40
hours per week for 52 weeks during the year. Each time she dog sits on the weekend, she earns $75. Use
this information about Roxy to complete the statements.
Type the correct answer in each box. Use numerals instead of words.
Roxy's annual income from her new employer before taxes will be:
Her bimonthly pay before taxes will be $
To reach Roxys yearly pretax income goal of $63,300, she will need to dog sit at least
times.l

Answer 1

`\textsf{Roxy's annual income from her new employer before taxes will be $\boxed{\$62,400}$}\;.`

`\textsf{Her bimonthly pay before taxes will be $\boxed{\$2,600}$}\;.`

`\textsf{To reach Roxy's yearly pretax income goal of \$63,300, she will need to}\\\textsf{dog sit at least $\boxed{12}$ times}\;.`

Explanation:

Given information:

• Pay = $30 per hour
• Number of hours worked per week = 40
• Number of weeks worked per year = 52

Therefore, Roxy's annual income before taxes will be:

`\begin{aligned}\implies\textsf{Annual income}&=\sf pay\:per\;hr * hours\;per\;wk * weeks\;per\;yr\\& = \$30 * 40 * 52\\& = \$62,400\end{aligned}`

There are 12 months in a year.

If Roxy is paid bi-monthly, then she will be paid in 24 equal payments during the year. Therefore, her bi-monthly pay before taxes is:

`\begin{aligned}\implies\textsf{Bi-monthly pay}&=\sf Annual\:pay / 24\\& = \$62,400 / 24\\&=\$2,600\end{aligned}`

Given:

• Roxy earns $75 each time she dog sits on the weekend.

Let x be the number of times she will need to dog sit. Therefore:

`\begin{aligned}\implies \textsf{Annual pay}+\textsf{Dog sitting} & \geq 63300\\62400+75x& \geq 63300\\62400+75x-62400& \geq 63300-62400\\75x& \geq 900\\(75x)/(75)& \geq (900)/(75)\\x& \geq 12\end{aligned}`

Therefore, Roxy will need to dog sit at least 12 times to reach her yearly pretax income goal of $63,300.