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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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Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wan
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The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

Step-by-step explanation:

The given is,

                  Trash can has a height of 24.90 inches

                  Diameter of 15.50 inches

Step:1

                Formula to calculate the volume of cylinder,

                              Volume, V = \pi r^{2} h.............................(1)

               Where, r - radius of cylinder

                           h - Height of cylinder

               From given,

                          h - 24.90 inches

                          D - 15.50 inches

                Diameter to radius conversion,

                                   Radius, r = \frac{d}{2}

                                                   = \frac{15.50}{2}

                                                r = 7.75 inches

              Equation (1) becomes,

                                                V = \pi (7.75^{2} )(24.90)

                                                    = \pi (60.0625)(24.90)

                                                    =\pi (1495.556)

                                                    =(3.1416) (1495.556)           (∵ \pi = 3.1416 )

                                                    = 4698.42

                                                   ≅ 4698 cubic inches

           Volume of trash can, V = 4698 cubic inches

Result:

             The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.                                

                                     

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