Step: 1

Selling price = store's cost of the television + markup

= 400 + 2% of 400

Step: 2

= 400 + 0.02 × 400

[Convert percent to decimal by moving decimal point two places left and then multiply with the cost.]

Step: 3

= 400 + 8 = 408

[Add.]

Step: 4

The store sells each television at $408.

Correct Answer is : $408

Step: 1

Selling price of bike after 10% discount = regular price - discount

= 600 - 10% of regular price

= 600 - 10% of regular price

Step: 2

= 600 - 0.10 × 600

[Convert percent to decimal by moving decimal point two places to left and then multiply with the regular price.]

Step: 3

= 600 - 60 = $540

[Subtract.]

Step: 4

Selling price of bike after 5% markup = Selling price of bike after 10% discount + 5% markup cost

Step: 5

= 540 + 5% of 540

[Substitute the values.]

Step: 6

= 540 + 0.05 × 540

[Convert percent to decimal by moving decimal point two places to left and then multiply with the cost.]

Step: 7

= 540 + 27 = $567

[Add.]

Step: 8

Jake paid $567 to Tim.

Correct Answer is : $567

Step: 1

The problem asks us to find the value of the machine next year. So, we first need to find 11% of the present value and then subtract that from the present value.

[The value of a machine decreases by 11% every year.]

Step: 2

11%

= 11 100 = 0.11

[Write the percent as a decimal.]

Step: 3

11% of 50000

= 0.11 × 50000 = 5500

[Multiply.]

Step: 4

Value of the machine next year

= 50000 - 5500 = 44500

Step: 5

So, next year, the value of the machine will be $44,500.

Correct Answer is : $44,500

Step: 1

The problem asks us to find out how tall is Charles. Charles is 15%
taller than Paul and Paul is 4 ft tall. So, we first need to find 15% of 4 and then add it to 4 itself.

Step: 2

15% = 15 100 = 0.15

[Write the percent as a decimal.]

Step: 3

15% of 4

= 0.15 × 4 = 0.6

[Multiply.]

Step: 4

Charles is 0.6 ft taller than Paul.

Step: 5

So, Charles's height = 4 + 0.6 = 4.6 ft.

Correct Answer is : 4.6 ft

Step: 1

The problem asks us to find how much Matt's father earns. Matt's father earns 7% more than Victor's father and Victor's father earns $2,000. So, we need to find 7% of $2,000 and then add it to $2,000.

Step: 2

7% = 7 100 = 0.07

[Write the percent as a decimal.]

Step: 3

7% of 2000

= 0.07 × 2000 = 140

[Multiply.]

Step: 4

Matt's father earns $140 more than Victor's father.

Step: 5

So, the earnings of Matt's father = $2000 + $140 = $2,140.

Correct Answer is : $2,140

Step: 1

The problem asks us to find the sales tax Charlie paid. Here, we just need to find 14% of $200.

[Sales tax is a tax based on the cost of the item purchased, usually a percentage of the purchase cost and it is collected directly from the buyer.]

Step: 2

14% = 14 100 = 0.14

[Write the percent as a decimal.]

Step: 3

14% of 200

= 0.14 × 200 = 28

[Multiply.]

Step: 4

So, Charlie paid $28 as sales tax.

Correct Answer is : $28

Step: 1

The problem asks us to find the number of games Brad won. Here, we just need to find 30% of 30.

Step: 2

30% = 30 100 = 0.3

[Write the percent as a decimal.]

Step: 3

30% of 30 = 0.3 × 30 = 9

[Multiply.]

Step: 4

So, Brad won 9 out of the 30 games he played.

Correct Answer is : 9

Step: 1

Jim's present salary = Jim's original salary + 15% of 5000

Step: 2

15% = 15 100 = 0.15

[Write the percent as a decimal.]

Step: 3

15% of 5,000

= 0.15 × 5000 = 750

[Multiply.]

Step: 4

Jim's present salary = 5000 + 750 = $5,750

Step: 5

So, Jim's salary after the raise is $5,750.

Correct Answer is : $5,750

Step: 1

The increased price of the book = original price + 11% of 140

Step: 2

11% = 11 100 = 0.11

[Write the percent as a decimal.]

Step: 3

11% of 140

= 0.11 × 140 = 15.40

[Multiply.]

Step: 4

The increased price of the book = 140 +15.40 = $155.40

Correct Answer is : $155.40

Step: 1

Discount on the jacket = 20% of $30

Step: 2

20% = 20 100 = 0.2

[Write the percent as a decimal.]

Step: 3

20% of 30

= 0.2 × 30 = 6

[Multiply.]

Step: 4

Price of the jacket after discount = regular price of the jacket - discount = 30 - 6 = $24

Step: 5

So, price of the jacket after discount is $24.

Correct Answer is : $24

Step: 1

Sale price of the pair of shoes is 80% of 110.

Step: 2

80% = 80 100 = 0.8

[Write the percent as a decimal.]

Step: 3

80% of 110 = 0.8 × 110 = $88

[Multiply.]

Step: 4

So, the sale price of the pair of shoes is $88.

Correct Answer is : $88

Step: 1

The discount on the pants = 20% of 140.

Step: 2

20% = 20 100 = 0.2

[Convert into decimal by dividing by 100.]

Step: 3

20% of 140 = 0.2 × 140

= $28

[Multiply.]

Step: 4

The new price of the pants = regular price - discount = 140 - 28 = $112.

Step: 5

The selling price of the pants is $112.

Correct Answer is : $112

Step: 1

The normal selling price of a pound of candy is $49 and discount offered by the candy store is 5%.

Step: 2

Selling price = normal price - discount.

Step: 3

= 49 - 5% of 49

[Substitute the values.]

Step: 4

= 49 - 0.05 × 49

[Convert percent to decimal by moving decimal point two places to left and then multiply with the normal price.]

Step: 5

= 49 - 2.45 = 46.55

[Subtract.]

Step: 6

The selling price is $46.55.

Correct Answer is : $46.55

Step: 1

Cost of second watch = regular price - discount

Step: 2

= 170 - 25% of regular price

Step: 3

= 170 - 0.25 × 170

[Convert percent to decimal by moving decimal point two places to left and then multiply to the regular price.]

Step: 4

= 170 - 42.50 = 127.50

[Subtract.]

Step: 5

Cost of two watches = 170 + 127.50 = $297.50

[Add.]

Step: 6

Josh paid $297.50 for the 2 watches.

Correct Answer is : $297.50

Step: 1

From the data, the time t is 10 years, since it calculated from the year 2003 to year 2013.

Step: 2

The percent increase, r = 0.7% = 0.007

Step: 3

The initial population, C = 250 million

Step: 4

[Write exponential growth model.]

Step: 5

= 250(1 + 0.007)^{10}

[Substitute C = 250, r = 0.007 and t = 10.]

Step: 6

= 250(1.007)^{10} = 268.1

[Simplify.]

Step: 7

The population in the year 2013 will be 268.1 million.

Correct Answer is : 268.1 million

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