Use an equation to solve the problem.
1.
What is 57% of 11? (1 point)
11 = 0.57 • n; 19.3
n = 57 • 11; 627
n = 0.57 • 11; 6.27
11 = 57 • n; 0.19
2.
224 is 25% of what number? (1 point)
224 • 0.25 = w; 560
224 = 0.25 • w; 896
224 • 0.25 = w; 56
224 = 0.25 • w; 90
3.
Explain how to find 45% of a number.
(1 point)
Multiply the number by 0.45.
Divide the number by 4.5.
Divide the number by 45.
Multiply the number by 4.5.
Find the percent of increase. Round to the nearest tenth of a percent where necessary.
4.
32 to 76 (1 point)
137.5%
42.1%
57.9%
2.4%
Find the percent of decrease. Round your answer to the nearest tenth of a percent where necessary.
5.
57 to 19 (1 point)
38%
66.7%
200%
20%
Find the percent of markup. Round to the nearest whole percent.
6.
Store's Cost: $136.50
Selling Price: $184.70 (1 point)
48%
26%
14%
35%
Find the sale price. Round to the nearest cent.
7.
Regular Price: $57.63
Percent of Discount: 10% (1 point)
$63.39
$5.76
$51.87
$57.53
Find the regular price. Round to the nearest cent.
8.
Sale Price: $56.78
Percent Discount : 40% (1 point)
$141.95
$96.78
$79.49
$94.63
9.
Find the interest earned in an account with $600 invested at 4.5% annual simple interest for 2 years. (1 point)
$540.00
$5,400.00
$54.00
$13.50
10.
When invested at an annual interest rate of 4.7%, an account earned $1,290.33 of simple interest in 3 years. How much money was originally invested? If necessary, round to the nearest cent.
(1 point)
$82,361.49
$9,151.28
$20.22
$91,512.77
My Answers:
1. n = 0.57 • 11; 6.27
2. 224 = 0.25 • w; 896
3. Multiply the number by 0.45.
4. 137.5%
5. 66.7%
6. 35%
7. $51.87
8. $94.63
9. $54.00
10. $9,151.28
All 10 are correct, good job
yay :))
thanks Reiny
the answers are indeed correct yeehaw
Thanks 😊
1. Correct! Well done, you got it right. Although I must say, 57% of 11 sounds like a very specific calculation. Maybe it's the amount of peace and quiet you get when your kids finally go to bed after a long day?
2. Correct again! 224 is 25% of what number? It's like chasing a mysterious number in a math detective story. Who is this mysterious number? What does it want?
3. Correct! To find 45% of a number, you simply multiply it by 0.45. It's like giving the number a 45% discount. Now that's a deal!
4. Correct! The percent of increase from 32 to 76 is 137.5%. That's one way to give your numbers a growth spurt!
5. Correct! The percent of decrease from 57 to 19 is 66.7%. That's quite a drop! I hope the numbers have a parachute!
6. Correct! The percent of markup from a store's cost of $136.50 to a selling price of $184.70 is 35%. Looks like someone's making a profit! Ka-ching!
7. Correct! The regular price of $57.63 with a 10% discount gives you a sale price of $51.87. Now that's what I call a bargain!
8. Correct! A sale price of $56.78 with a 40% discount means the regular price is $94.63. That's some math magic right there!
9. Correct! With $600 invested at 4.5% annual simple interest for 2 years, you'll earn $54.00 in interest. That's like getting paid for just letting your money sit there. Nice!
10. Correct! At an annual interest rate of 4.7%, an account earning $1,290.33 of simple interest in 3 years means the original investment was $9,151.28. That's like finding a treasure chest at the end of a mathematical rainbow!
Your answers are correct! Here's how you can verify and solve each problem:
1. To find 57% of 11, you can use the equation: 11 = 0.57 * n. Solving for n gives you n = 0.57 * 11 = 6.27.
2. To find 25% of a number that equals 224, you can use the equation: 224 = 0.25 * w. Solving for w gives you w = 224 / 0.25 = 896.
3. To find 45% of a number, you can multiply the number by 0.45. So the correct answer is "Multiply the number by 0.45."
4. To find the percent increase from 32 to 76, you can use the formula: percent increase = ((new value - old value) / old value) * 100. Plugging in the values, you get percent increase = ((76 - 32) / 32) * 100 = 137.5%.
5. To find the percent decrease from 57 to 19, you can use the formula: percent decrease = ((old value - new value) / old value) * 100. Plugging in the values, you get percent decrease = ((57 - 19) / 57) * 100 = 66.7%.
6. To find the percent of markup, you can use the formula: percent markup = ((selling price - cost price) / cost price) * 100. Plugging in the values, you get percent markup = (($184.70 - $136.50) / $136.50) * 100 = 35%.
7. To find the sale price, when the regular price is $57.63 and the discount is 10%, you can use the equation: sale price = regular price - (regular price * discount percentage). Plugging in the values, you get sale price = $57.63 - ($57.63 * 0.10) = $51.87.
8. To find the regular price, when the sale price is $56.78 and the discount percentage is 40%, you can use the equation: regular price = sale price / (1 - discount percentage). Plugging in the values, you get regular price = $56.78 / (1 - 0.40) = $94.63.
9. To find the interest earned in an account with $600 invested at 4.5% annual simple interest for 2 years, you can use the formula: interest = principal * rate * time. Plugging in the values, you get interest = $600 * 0.045 * 2 = $54.00.
10. To find the original amount invested, when the account earned $1,290.33 of simple interest at an annual interest rate of 4.7% for 3 years, you can use the formula: interest = principal * rate * time. Rearranging the formula, you get principal = interest / (rate * time). Plugging in the values, you get principal = $1,290.33 / (0.047 * 3) ≈ $9,151.28 (rounding to the nearest cent).