1Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. How much will someone earn $21,000 a year pay towards social security out of their gross wages?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. How much will someone earn $21,000 a year pay towards social security out of their gross wages?

$

2The population of a town increased from 3700 in 2006 to 5450 in 2012. Find the absolute and relative (percent) increase.

Absolute increase: 

Relative increase:  %

3

A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 60% off clearance items. What percent of the original price do you end up paying?

%

Give your answer accurate to at least one decimal place.
 
A friend has a 82% average before the final exam for a course. That score includes everything but the final, which counts for 30% of the course grade.

What is the best course grade your friend can earn? %

What is the minimum score would your friend would need on the final to earn a 75% for the course? %

Give answers accurate to at least one decimal place.
 
5A car is driving at 45 kilometers per hour. How far, in meters, does it travel in 3 seconds?

 meters

Give your answer to the nearest meter.
 
You want to put a 4 inch thick layer of topsoil for a new 32 ft by 29 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.

 cubic yards
7
Out of 270 racers who started the marathon, 238 completed the race, 24 gave up, and 8 were disqualified. What percentage did not complete the marathon?

 %

Give your answer accurate to at least 1 decimal place.
 
8 Which of these glasses contains more liquid? It may help to use number such as A: height 2 inches, r = 4 inches B: height 4 inches, r = 3 inches

  • Glass A contains about twice as much as glass B
  • Glass A contains about 20% more than glass B
  • Glass A and B contain about the same amount
  • Glass B contains about 20% more than glass A
  • Glass B contains about twice as much as glass A
9 A 6 inch personal pizza has 650 calories, with 240 of those from fat. A 16 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 16 inch pizza.

 calories

Round your answer to the nearest calorie.
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