Asked by Connexus stundent.😀
The population of a town has grown 2% each year. In 1998, the population of the town was about 10,000 people. What was the population in 1999?
Answers
Answered by
Bot
To find the population in 1999, we need to add 2% of the population in 1998 to the population in 1998.
2% of 10,000 is 0.02 x 10,000 = 200.
So, the population in 1999 was:
10,000 + 200 = 10,200
Therefore, the population in 1999 was about 10,200 people.
2% of 10,000 is 0.02 x 10,000 = 200.
So, the population in 1999 was:
10,000 + 200 = 10,200
Therefore, the population in 1999 was about 10,200 people.
Answered by
Connexus stundent.😀
In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
Answered by
Bot
We can use proportions to solve this problem.
The proportion of defective cars in the sample is:
3/200 = 0.015
We can use this proportion to predict the number of defective cars in a larger sample of 10,000 cars:
0.015 x 10,000 = 150
Therefore, we can expect around 150 of the 10,000 cars of the same model to have a manufacturing defect based on the sample data.
The proportion of defective cars in the sample is:
3/200 = 0.015
We can use this proportion to predict the number of defective cars in a larger sample of 10,000 cars:
0.015 x 10,000 = 150
Therefore, we can expect around 150 of the 10,000 cars of the same model to have a manufacturing defect based on the sample data.
Answered by
Connexus stundent.😀
The sale price for a jacket that regularly costs $85.00 is now $68.00. With sales tax, a customer pays $73.44. Which THREE statements are correct for this situation?
Answered by
Bot
To determine which THREE statements are correct for this situation, let's first break down the information we have:
Regular price of jacket: $85.00
Sale price of jacket: $68.00
Price paid with sales tax: $73.44
Now, let's evaluate each of the statements provided:
1. The sales tax rate is 8%.
To determine if this statement is correct, we can divide the amount of sales tax paid ($73.44 - $68.00 = $5.44) by the sale price of the jacket ($68.00):
$5.44 ÷ $68.00 = 0.08
This shows that the sales tax rate is indeed 8%, so this statement is correct.
2. The jacket is on sale for 20% off its regular price.
To determine if this statement is correct, we can calculate the percentage discount between the regular price and sale price:
($85.00 - $68.00) ÷ $85.00 = 0.20 or 20%
This shows that the jacket is indeed on sale for 20% off its regular price, so this statement is correct.
3. The original price of the jacket with sales tax was $91.80.
To determine if this statement is correct, we can add the amount of sales tax paid ($5.44) to the sale price of the jacket ($68.00):
$68.00 + $5.44 = $73.44
This shows that the original price of the jacket with sales tax was actually $73.44, not $91.80. Therefore, this statement is not correct.
4. The amount of sales tax paid was $6.44.
To determine if this statement is correct, we can see that the amount paid with sales tax is actually $73.44, not $6.44. Therefore, this statement is not correct.
Based on this analysis, the THREE correct statements are:
1. The sales tax rate is 8%.
2. The jacket is on sale for 20% off its regular price.
3. The original price of the jacket with sales tax was not $91.80.
Regular price of jacket: $85.00
Sale price of jacket: $68.00
Price paid with sales tax: $73.44
Now, let's evaluate each of the statements provided:
1. The sales tax rate is 8%.
To determine if this statement is correct, we can divide the amount of sales tax paid ($73.44 - $68.00 = $5.44) by the sale price of the jacket ($68.00):
$5.44 ÷ $68.00 = 0.08
This shows that the sales tax rate is indeed 8%, so this statement is correct.
2. The jacket is on sale for 20% off its regular price.
To determine if this statement is correct, we can calculate the percentage discount between the regular price and sale price:
($85.00 - $68.00) ÷ $85.00 = 0.20 or 20%
This shows that the jacket is indeed on sale for 20% off its regular price, so this statement is correct.
3. The original price of the jacket with sales tax was $91.80.
To determine if this statement is correct, we can add the amount of sales tax paid ($5.44) to the sale price of the jacket ($68.00):
$68.00 + $5.44 = $73.44
This shows that the original price of the jacket with sales tax was actually $73.44, not $91.80. Therefore, this statement is not correct.
4. The amount of sales tax paid was $6.44.
To determine if this statement is correct, we can see that the amount paid with sales tax is actually $73.44, not $6.44. Therefore, this statement is not correct.
Based on this analysis, the THREE correct statements are:
1. The sales tax rate is 8%.
2. The jacket is on sale for 20% off its regular price.
3. The original price of the jacket with sales tax was not $91.80.
Answered by
Connexus stundent.😀
A teacher has an annual income of $51,750. The income tax the teacher has to pay is 7%. What is the amount of income tax in dollar and cents the teacher has to pay?
Answered by
Connexus stundent.😀
80% of the 260 runners registered for a race finished the event.
How many runners did not finish the race?
A. 142
B. 208
C. 20
D. 52
Which percent is equivalent to 1.4?
A. 140%
B. 0.014%
C. 14%
D. 0.14%
How many runners did not finish the race?
A. 142
B. 208
C. 20
D. 52
Which percent is equivalent to 1.4?
A. 140%
B. 0.014%
C. 14%
D. 0.14%
Answered by
Bot
To find the number of runners who did not finish the race, we need to find 20% of the total number of runners:
20% of 260 = 0.20 x 260 = 52 runners
Therefore, the answer is D. 52.
To find the percentage equivalent to 1.4, we can multiply by 100:
1.4 x 100 = 140%
Therefore, the answer is A. 140%.
20% of 260 = 0.20 x 260 = 52 runners
Therefore, the answer is D. 52.
To find the percentage equivalent to 1.4, we can multiply by 100:
1.4 x 100 = 140%
Therefore, the answer is A. 140%.
Answered by
Connexus stundent.😀
At Layla's favorite restaurant, the price of supreme nachos is $13.50.
After Layla adds a tip, the price of the item is $16.20. What is the percent of the tip?
A. 25%
B. 20%
C. 10%
D. 15%
The price for a slice of apple pie is $3.25. After adding 8% tax, how much does a customer pay for the slice?
A. $3.60
B. $3.51
C. $3.45
D. $3.33
After Layla adds a tip, the price of the item is $16.20. What is the percent of the tip?
A. 25%
B. 20%
C. 10%
D. 15%
The price for a slice of apple pie is $3.25. After adding 8% tax, how much does a customer pay for the slice?
A. $3.60
B. $3.51
C. $3.45
D. $3.33
Answered by
Bot
To find the percent of the tip, we can start by finding the amount of the tip:
$16.20 - $13.50 = $2.70
Next, we can divide the tip amount by the original price of the item and convert to a percentage:
$2.70 ÷ $13.50 x 100% = 20%
Therefore, the answer is B. 20%.
To find how much the customer pays after adding 8% tax, we can calculate the amount of tax and then add it to the original price of the pie:
8% of $3.25 = $0.26
$3.25 + $0.26 = $3.51
Therefore, the answer is B. $3.51.
$16.20 - $13.50 = $2.70
Next, we can divide the tip amount by the original price of the item and convert to a percentage:
$2.70 ÷ $13.50 x 100% = 20%
Therefore, the answer is B. 20%.
To find how much the customer pays after adding 8% tax, we can calculate the amount of tax and then add it to the original price of the pie:
8% of $3.25 = $0.26
$3.25 + $0.26 = $3.51
Therefore, the answer is B. $3.51.