Question

20. You want to take your family on a two week vacation this summer, which is 5 months away The total cost for the vacation is $2,245. You work extra hours at your job at $11.25 per hour. Fifteen percent of your earnings go to taxes, and the rest goes toward the expenses for this vacation. Over next five months, what is the fewest number of extra hours per month you could work and still me enough money to take this vacation? A 35 ( C. 47 E.235 8.40 D. 200 AIS rregues stepl. In this ques we are given that guastotares family to go for at Vacation this summes need atat sum 15 Then, you need to hours at your sub this vacation

Answer 1

this guy is right

Explanation:

Answer 2

Assuming that all 5 months have 30 working days.

Let us assume that you need to do 'x' hours per month to get the extra money for vacation.

Given that overtime wage is $11.25 per hour, the wage (in $) for monthly overtime is obtained as,

`\begin{gathered} \text{Monthly Overtime Wage}=\text{ Monthly overtime hours}*\text{ Wage per hour} \\ \text{Monthly Overtime Wage}=x*11.25 \\ \text{Monthly Overtime Wage}=11.25x \end{gathered}`

Then the total amount (TA) earned in 5 months of overtime work is calculated as,

`\begin{gathered} \text{ Total Amount}=\text{ Amount per month}*\text{ No. of months} \\ \text{Total Amount}=11.25x*5 \\ \text{Total Amount}=56.25x \end{gathered}`

Given that the 15% of this amount earned goes for the tax, so the net amount earned is given by,

`\begin{gathered} \text{Net Amount Earned}=(1-(15)/(100))*56.25x \\ \text{Net Amount Earned}=((85)/(100))*56.25x \\ \text{Net Amount Earned}=47.8125x \end{gathered}`

This net amount must be sufficient to cover the total cost of vacation $2245,

`\begin{gathered} \text{ Net Amount Earned}=\text{ Expense on vacation} \\ 47.8125x=2245 \\ x=(2245)/(47.8125) \\ x=46.95 \\ x\approx47 \end{gathered}`

Thus, you have to work 47 hours of overtime monthly to cover the cost of the vacation in 5 months.