jamal is a nurse and earns $48,000 per year. he lives in california and pays about 6 percent of his income…

jamal is a nurse and earns $48,000 per year. he lives in california and pays about 6 percent of his income in state income taxes. his sales tax rate is 8 percent. diamond is an accountant and earns $50,000 a year. she lives in arizona and pays about 3 percent of her income in state income taxes. her sales tax rate is 9.5 percent. who would pay more in state income taxes? both jamal and diamond decide to buy a new computer at a store near their homes. the computer costs $500. who will end up paying more?
Answer
Answer:
- Jamal pays more in state - income taxes.
- Diamond will end up paying more for the computer.
Explanation:
Step1: Calculate Jamal's state - income tax
Jamal's income is $48000$, and the state - income tax rate is $6%=0.06$. So his state - income tax is $48000\times0.06 = 2880$.
Step2: Calculate Diamond's state - income tax
Diamond's income is $50000$, and the state - income tax rate is $3% = 0.03$. So her state - income tax is $50000\times0.03=1500$. Since $2880>1500$, Jamal pays more in state - income taxes.
Step3: Calculate Jamal's sales tax for the computer
The computer costs $500$, and Jamal's sales tax rate is $8% = 0.08$. So his sales tax is $500\times0.08 = 40$. The total amount he pays for the computer is $500 + 40=540$.
Step4: Calculate Diamond's sales tax for the computer
The computer costs $500$, and Diamond's sales tax rate is $9.5%=0.095$. So her sales tax is $500\times0.095 = 47.5$. The total amount she pays for the computer is $500+47.5 = 547.5$. Since $547.5>540$, Diamond will end up paying more for the computer.