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
$82
$82
$54
To find out how much money Riley needs to earn, we can use a proportional relationship between the cost of the jacket and the sales tax.
The sales tax is 7.25% of the cost of the jacket, which means that Riley needs to earn the cost of the jacket plus 7.25% of the cost of the jacket.
Let's calculate that:
Cost of the jacket: $49.99
Sales tax: 7.25% of $49.99
Sales tax = 0.0725 * $49.99 = $3.624775
Therefore, Riley needs to earn $49.99 + $3.624775 = $53.614775.
Rounded to the nearest dollar, Riley needs to earn $54.
So the correct answer is $54.
your are wrong
I apologize for the mistake. Let's calculate again.
The sales tax is 7.25% of the cost of the jacket.
Sales tax = 7.25% * $49.99 = 0.0725 * $49.99 = $3.624775
To find out how much money Riley needs to earn, we add the cost of the jacket and the sales tax:
Total cost = $49.99 + $3.624775 = $53.614775
Rounded to the nearest dollar, Riley needs to earn $54.
So the correct answer is $54. I apologize for the confusion in my previous response.
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
$19.69
$19.69
$35.00
$35.00
$75.94
$75.94
$1.97
To find out how much money Rafeal should provide as a tip, we can use a proportional relationship between the cost of the dinner and the tip.
The tip is 35% of the cost of the dinner, which means Rafeal should calculate 35% of $56.25.
Tip = 0.35 * $56.25 = $19.6875
Rounded to the nearest hundredth, Rafeal should provide a tip of $19.69.
So the correct answer is $19.69.
Jackson is treating his best friend to lunch for his birthday. They order two deluxe hamburgers and fries at $14.95
a plate and two large sodas at $3.49
each. Then as a birthday surprise, Jackson orders two pieces of chocolate cake at $7.95
each. Jackson knows that tax is 8.21%
. How much will Jackson's bill be with tax?(1 point)
Responses
$52.78
52 point 7 8 dollars
$28.56
28 point 5 6 dollars
$57.11
57 point 1 1 dollars
$26.39
26 point 3 9 dollars
To find out Jackson's bill with tax, we can calculate the total cost of all the items and then add the tax amount.
Total cost of the two deluxe hamburgers and fries:
2 * $14.95 = $29.90
Total cost of the two large sodas:
2 * $3.49 = $6.98
Total cost of the two pieces of chocolate cake:
2 * $7.95 = $15.90
Subtotal (before tax):
$29.90 + $6.98 + $15.90 = $52.78
Tax amount:
8.21% of $52.78 = 0.0821 * $52.78 = $4.33
Thus, Jackson's bill with tax will be $52.78 + $4.33 = $57.11.
So the correct answer is $57.11.
Last year Jess earned $8.50
an hour at work. After a raise, she now earns $9.85
an hour. What is the percent change in her hourly wages? Round your answer to the nearest hundredth.(1 point)
Responses
0.1588%
0 point 1 5 8 8 percent
13.71%
13 point 7 1 percent
0.1371%
0 point 1 3 7 1 percent
15.88%
15 point 8 8 percent
To find the percent change in Jess's hourly wages, we can use the formula:
Percent Change = ((New Value - Old Value) / Old Value) * 100
Old value of her hourly wage = $8.50
New value of her hourly wage = $9.85
Percent Change = (($9.85 - $8.50) / $8.50) * 100 = ($1.35 / $8.50) * 100 = 0.1588 * 100 = 15.88
Rounded to the nearest hundredth, the percent change in Jess's hourly wages is 15.88%.
So the correct answer is 15.88%.
Aatikah plans to buy books at a book fair. She thinks she will need $30.00 to purchase the books. She only spends $19.75. Find the percent error in her prediction. Round your answer to the nearest whole number.(1 point)
Responses
52%
52%
1%
1%
58%
58%
2%