Mathematics, 02.07.2019 17:30 alecnewman2002

Leiff goes online to buy a new video game. he finds a site that currently has a promotion of 15% off on all orders over $50. leiff decides to buy his video game, with a price tag of $128, at this site because he knows that he will get the 15% discount when he checks out. leiff pays 5.3% sales tax on the discounted price and pays a shipping fee of $4.75. what is the total of leiff’s online purchase? a. $112.84 b. $114.57 c. $118.82 d. $119.32

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Answer from: cheefdogg420

The total online purchase of Leiff is $ 119 .32 .

Option (d) is correct .

Step-by-step explanation:

As given

Leiff goes online to buy a new video game.

He finds a site that currently has a promotion of 15% off on all orders over $50.

Leiff decides to buy his video game, with a price tag of $128.

15% is written in the decimal form

$= \frac{15}{100}$

= 0.15

Discounted price = 0.15 × Price of video game

Put all the values in the above

Discounted price = 0.15 × $128

= $ 19.2

Thus

Cost of the video game after discount of 15% = Cost of video game - Discounted price .

Put all the values in the above

Cost of the video game after discount of 15% = $128 - $ 19.2

= $ 108 .8

As given

Leiff pays 5.3% sales tax on the discounted price and pays a shipping fee of $4.75.

5.3% is written in the decimal form

$= \frac{5.3}{100}$

= 0.053

Sales tax price = 0.053 × Cost of the video game after discount of 15% .

= 0.053 × 108.8

= $ 5.7664

Thus

Total cost of the Leiff’s online purchase = Cost of the video game after discount of 15% + Sales tax price + Shipping fee .

= $ 108.8 + $ 5.7664 + $ 4.75

= $ 119.32 (Approx)

Therefore the total online purchase of Leiff is $ 119 .32 .

Option (d) is correct .

Answer from: Quest

we know that

applying the law of sines

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is ≈29°

part b) the measure of angle k could also be

(180-29)=151°

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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