Use proportional relationships to solve the following problem. Riley needs to earn enough money to purchase a new jacket. The one he likes best is $49.99. His state sales tax is 7.25%. How much money does he need to earn? Round to the nearest dollar.(1 point)
Responses
$50
$50
$3.62
$3.62
$54
$54
$82
The correct answer is $54. Since the state sales tax is 7.25%, we can find the amount of tax by multiplying the cost of the jacket by 7.25%: $49.99 * 0.0725 = $3.62. Adding the tax to the cost of the jacket, Riley needs to earn $49.99 + $3.62 = $54. Rounded to the nearest dollar, he needs to earn $54.
Rafeal’s family dinner costs $56.25. His dad wants him to leave a 35% tip. How much money should Rafeal provide as a tip? Round your answer to the nearest hundredth.(1 point)
Responses
$75.94
$75.94
$35.00
$35.00
$19.69
$19.69
$1.97
The correct answer is $19.69. To find the amount of the tip, we can multiply the cost of the dinner by 35%: $56.25 * 0.35 = $19.6875. Rounded to the nearest hundredth, the tip should be $19.69.
Which of the following is the solution for income tax deducted on earnings of $1,000 with a tax rate of 24%?(1 point)
Responses
$24
$24
$240
$240
$976
$976
$760
The correct answer is $240. To find the income tax deducted, we can multiply the earnings of $1,000 by the tax rate of 24%: $1,000 * 0.24 = $240. Therefore, the solution is $240.
Holly’s gross pay after two weeks of work is $1,475. Her income after taxes is $1,321.60. To the nearest tenth, find Holly’s income tax rate.(1 point)
Responses
10%
10%
10.4%
10.4%
10.6%
10.6%
11.4%
Javier’s paycheck shows several deductions. Next to federal is the amount $84.75. Next to state is the amount $38.20. And next to city is $7.59. In all, find Javier’s exact income tax deductions on this paycheck.(1 point)
Responses
$96.16
$96.16
$130.54
$130.54
$131
$131
$198.85
To find Javier's exact income tax deductions, we need to add up the amounts deducted for federal, state, and city taxes:
$84.75 (federal) + $38.20 (state) + $7.59 (city) = $130.54
Therefore, Javier's exact income tax deductions on this paycheck amount to $130.54.
To solve this problem using proportional relationships, we need to determine the total amount of money Riley needs to earn, including the sales tax.
First, let's find the amount of sales tax on the jacket. The sales tax rate is 7.25%, which means Riley needs to pay an additional 7.25% of the jacket's price.
To calculate the sales tax, multiply the jacket's price by 7.25%:
$49.99 * 0.0725 = $3.62 (rounded to the nearest cent)
Now, we need to find the total amount of money Riley needs to earn, including the jacket's price and the sales tax.
To calculate the total, add the jacket's price and the sales tax:
$49.99 + $3.62 = $53.61 (rounded to the nearest cent)
Finally, we need to round this amount to the nearest dollar, as requested in the problem.
Rounding $53.61 to the nearest dollar gives us $54.
Therefore, Riley needs to earn $54 to purchase the new jacket.
To find Holly's income tax rate, we can divide her income tax amount ($1,321.60) by her gross pay ($1,475) and then multiply by 100 to convert it to a percentage: ($1,321.60 / $1,475) * 100 = 89.6%.
Rounded to the nearest tenth, Holly's income tax rate is 10.6%. Therefore, the correct response is 10.6%.