# Liberty MATH 114 Homework 6 Answers Complete Solutions

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### Question 1

Express the decimal as a percent

0.28 = ¤ %

### Question 2

Express the decimal as a percent

0.0892 = ¤ %

### Question 3

Express the decimal as a percent.

3.735 = ¤ %

### Question 4

Express the fraction as a percent. Use bar notation, if necessary.

3/4

### Question 5

Express the fraction as a percent. Use bar notation, if necessary.

2 1/5

### Question 6

Express the percent as a decimal.

25%

### Question 7

Express the percent as a decimal.

2%

### Question 8

Express the percent as a decimal.

483%

## STATUS

### Question 9

Express the percent as a fraction or mixed number.

90%

### Question 10

Express the percent as a fraction or mixed number.

218%

### Question 11

Find the sales tax and total cost of an espresso machine that costs $61.95. The tax rate is 6%

61.95

The sales tax is $

The total cost is $

### Question 12

Find the sales tax and total cost of a Sony Playstation that costs $137.99. The tax rate is 5%.

137.99

The sales tax is $

The total cost is $

### Question 13

Milo receives a commission of 4% on all sales. If his commission on a sale was $69.44, find the cost of the item he sold.

The cost of the item that Milo sold was $ .

### Question 14

The sales tax in Pennsylvania is 6%. If the tax on an item is $108, find the cost of the item.

The cost of the item was $

### Question 15

You saved $200 on your new laptop because you bought it online. If this was a 20% savings from the original price, find the original cost of the laptop.

The original cost of the laptop was $ .

### Question 16

Round the answer to the nearest tenth of a percent, if necessary

A diamond ring was reduced from $499.99 to $299.99. Find the percent decrease in the price.

The percent decrease in price is

### Question 17

Round the answer to the nearest tenth of a percent, if necessary

The sale price of a spring break vacation package was $179.99, and the travel agent said by booking early, you saved $20. Find the percent decrease in price.

The percent decrease in price is % .

### Question 18

According to the U.S. Bureau of Labor Statistics, there were 100,400 chefs/head cooks employed in the United States in 2010 and 320,700 food service managers. Those numbers were projected to decrease to 96,800 and 319,000 by 2020. Which job was facing the larger percent decrease? By how much?

Part 1

The percent decrease in chefs and head cooks is %.

Round your answer to two decimal places, if necessary.

Answer

Part 2

The percent decrease in food service managers is %.

Round your answer to two decimal places, if necessary.

Answer

Part 3

The percent decrease is % higher for .

Round your answer to two decimal places, if necessary.

### Question 19

A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 10% off. Is this equal to a 20% discount? Explain your answer.

The total percent of reduction is %, so this equal to a 20 % discount.

### Question 20

You purchase a stock at $100 per share. It drops 30% the next day; however, a week later, it increases in value by 30%. If you sell it, will you break even? Explain your answer.

Since you purchased the stock at $100 and sold the stock at $ per share, you even.