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just olya [345]
1 year ago
10

Reggie is looking up yearly job benefits, the pay is $8.50 an hour for a 40- hour week. His employer also provides fridge benefi

ts that amount to 19% of his yearly wage. The job also comes with expenses including, commuting costs, $419, Uniforms, $560, and parking, $430. What would be the total annual wage, amount of fringe benefits, expenses, and amount after benefits are added and expenses are deducted? Write answers in or separated by a comma.
Mathematics
1 answer:
Vika [28.1K]1 year ago
7 0

hello

to solve this problem, we need to work out how much he earns weekly, and then work it up to annually

step 1

calculate the weekly wage into annual wage

he earns $8.50/h and works 40 hours in a week

weekly wage =

\begin{gathered} 8.50\times40=340 \\ \text{ in 1 year, we have 52 weeks} \\ \text{annual wage =340}\times52=17680 \end{gathered}

Raggie earns $17,680 annually

he gets fridge benefit of 19% of his annual wage

we need to find 19% of $17,680

\begin{gathered} \frac{19}{100}=\frac{x}{17680} \\ 100\times x=19\times17680 \\ 100x=335920 \\ x=\frac{335920}{100} \\ x=3359.2 \end{gathered}

he gets additional $3359.2 as fridge allowance

we can add up the total to know his total annual wage

total annual wage = wage + allowance = $17680 + $3359.5 = $21,039.2

his annual expense

commuting = $419

uniforms = $560

parking = $430

total expense = $419 + $560 + $430 = $1,409

net wage = gross wage - expenses

net wage =

\begin{gathered} \text{net wage=} \\ 21039.2-1409=19630.2 \end{gathered}

Reggie's annual wage after expenses = $19630.2

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Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour
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S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

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d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
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we can solve this system of equations by equalization method.

70t=360-80t
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150t=360
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Answer:  the first train meet with the second train in 2 hour 24 minutes. 


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