An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Calculate the total taxes deducted: $945.00 + $225.00 + $65.25 + $344.25 = $1579.50.
Add the total taxes to the net paycheck: $2920.50 + $1579.50 = $4500.00.
Determine that Davis's gross pay is $4500.00.
Conclude that the gross pay is: $\boxed{ 4500.00} .
Explanation
Understanding the Problem We are given Davis's net paycheck and the amounts deducted for various taxes. Our goal is to find Davis's gross pay.
Calculating Total Taxes First, we need to calculate the total amount of taxes deducted. We sum the amounts for Federal, State, Medicare, and Social Security taxes: 945.00 + 225.00 + 65.25 + 344.25 = 1579.50 The total taxes deducted are $1579.50.
Calculating Gross Pay Next, we add the total taxes to the net paycheck to find the gross pay: G ross P a y = N e tP a yc h ec k + T o t a lT a x es G ross P a y = 2920.50 + 1579.50 = 4500.00 Therefore, Davis's gross pay is $4500.00.
Final Answer Davis's gross pay is calculated by adding the net paycheck to the total taxes deducted. The sum of the taxes is $1579.50, and adding this to the net paycheck of $2920.50 gives a gross pay of $4500.00.
Examples
Understanding gross pay versus net pay is crucial in personal finance. For instance, when budgeting, knowing your gross pay helps you plan for expenses before taxes. Similarly, when evaluating a job offer, comparing gross salaries provides a clearer picture of the actual compensation before deductions. This calculation is also essential for understanding tax obligations and financial planning.
The total charge flowing through a device with a current of 15.0 A for 30 seconds is 450 coulombs. This corresponds to approximately 2.81 billion billion electrons flowing through the device. Using the charge of a single electron, we calculate the total number of electrons based on the total charge.
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