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?
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.
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?
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 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?
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.
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?
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%
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%.
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
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.