An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The number of electrons flowing through an electric device delivering a current of 15.0 A for 30 seconds is approximately 2.81 x 10^21 electrons. This is calculated by first finding the total charge using the current and time, then converting this charge into the number of electrons based on the charge of a single electron.
;
Calculate the tax paid in the first bracket: $10,275 \times 0.10 = 1027.50 .
Calculate the tax paid in the second bracket: $30,900 \times 0.12 = 3708.00 .
Calculate the tax paid in the third bracket: $34,225 \times 0.22 = 7529.50 .
Calculate the effective tax rate: $\frac{$12265.00}{ 75400} \times 100 \approx 16.27\% . The final answer is 16.27% .
Explanation
Understanding the Problem We are asked to find the effective tax rate for a taxable income of $75,400, given the marginal tax rate chart. The effective tax rate is the total tax paid divided by the taxable income, expressed as a percentage. We need to calculate the tax paid in each tax bracket and then sum them up to find the total tax paid.
Calculating Tax in the First Bracket The first tax bracket is from $0 to 10 , 275 , w i t hama r g ina lt a x r a t eo f 10 $10,275 \times 0.10 = 1027.50 $
Calculating Tax in the Second Bracket The second tax bracket is from $10,276 to 41 , 175 , w i t hama r g ina lt a x r a t eo f 12 41,175 - $10,275 = $30,900
The tax paid in this bracket is: $30,900 \times 0.12 = $3708.00
Calculating Tax in the Third Bracket The third tax bracket is from $41,176 to $89,075, with a marginal tax rate of 22%. Since the taxable income is 75 , 400 , w eo n l y n ee d t oco n s i d er t h e p or t i o n o f in co m e in t hi s b r a c k e t . T h e in co m e in t hi s b r a c k e t i s : 75,400 - $41,175 = $34,225 The tax paid in this bracket is: $34,225 \times 0.22 = $7529.50
Calculating Total Tax Paid Now, we sum up the tax paid in each bracket to find the total tax paid: $1027.50 + $3708.00 + $7529.50 = $12265.00
Calculating the Effective Tax Rate The effective tax rate is the total tax paid divided by the taxable income, expressed as a percentage: Effective tax rate = Taxable income Total tax paid × 100 \text{Effective tax rate} = \frac{$12265.00}{$75400} \times 100 Effective tax rate = 0.16266578249 × 100 = 16.266578249% Rounding to the nearest hundredth, we get 16.27%.
Final Answer Therefore, the effective tax rate for a taxable income of $75,400 is approximately 16.27%.
Examples
Understanding effective tax rates is crucial for financial planning. For instance, if you're deciding between a raise and additional benefits, knowing your effective tax rate helps you determine which option gives you more net income. It also helps in comparing tax burdens across different income levels or when considering the impact of tax deductions and credits on your overall tax liability. This knowledge empowers you to make informed financial decisions.
