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 expenses by summing all individual expenses: 282564 + 6498 + 174623 + 47968 + 5137 + 11690 + 7600 = 536080 .
Divide the payroll expense by the total expenses to find the payroll contribution: 536080 282564 = 0.52709 .
Multiply the result by 100 to express the contribution as a percentage: 0.52709 × 100 = 52.709% .
Round the percentage to the nearest whole percent: 53% .
Explanation
Understanding the Problem We are given a table of annual expenses for various categories and asked to calculate the percentage contribution of payroll to the total expenses, rounded to the nearest whole percent.
Calculating Total Expenses First, we need to calculate the total annual expenses by summing up the expenses for each category:
Payroll: $282,564 Advertising: $6,498 Raw Materials: $174,623 Rent: $47,968 Insurance: $5,137 Utilities: $11,690 Services: $7,600
Total Expenses = $282,564 + $6,498 + $174,623 + $47,968 + $5,137 + $11,690 + $7,600
Total Expenses Value Total Expenses = $536,080
Calculating Payroll Contribution Next, we calculate the payroll expense contribution by dividing the payroll expense by the total expenses:
Payroll Contribution = \frac{Payroll Expense}{Total Expenses} = \frac{282564}{536080}
Payroll Contribution Value Payroll Contribution = 0.52709
Converting to Percentage To express this as a percentage, we multiply by 100:
Payroll Contribution Percentage = 0.52709 \times 100 = 52.709%
Rounding the Percentage Finally, we round the percentage to the nearest whole percent:
Rounded Payroll Contribution Percentage = 53%
Examples
Understanding the contribution of different expenses to the total budget is crucial in business and personal finance. For example, if you are managing a small business, knowing that payroll accounts for 53% of your total expenses helps you make informed decisions about staffing, salary adjustments, and cost-cutting measures. This understanding allows you to optimize resource allocation and improve the financial health of your business.
In 30 seconds, an electric device delivering 15.0 A of current transmits approximately 2.81 × 1 0 21 electrons. This is calculated by first determining that 450 coulombs of charge flow, and then dividing that amount by the charge of a single electron (about 1.6 × 1 0 − 19 C ). Overall, this illustrates the vast number of electrons that constitute the electric current.
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