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Lelu [443]
3 years ago
11

the price of a new video game is $59.69 before tax. allison bought the game for 12% off. she then paid 9.25% sales tax on the di

scounted price.part a: how much did allison pay in sales tax? show all work and steps in your solution. round your answer to the nearest cent. part b: what is the total amount that allison paid for the video game? show all work and steps in your solution. round your answer to the nearest cent
Mathematics
1 answer:
rewona [7]3 years ago
7 0

Answer:

a) $4.86

b) $57.39

Step-by-step explanation:

a) To find how much sales tax Allison paid, find the sale price. The price of the game was 12% off. This means Allison paid 88% of the new price. COnevrt 88% to 0.88. The multiply it with the price.

0.88*59.69 = 52.53

The sale price was $52.53. She will pay 9.25% or 0.0925 of the sale price.

0.0925 (52.53) = 4.86

b) She pays in total $52.53 + 4.86 = 57.39

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telo118 [61]

Answer:

See below

Step-by-step explanation:

You need to create an equation that will give you the results with the correct units of measurement that they are asking for.  In the first question, they are asking you to give the answer in seconds.  So when you set up your equation, seconds have to be on the top.  The way to think of this is to actually reword the statement they give you by saying in 1 second, light travels 3 x 10 to the 8th power which is 3 with 8 zeros after it.  Then it's easier to set up the equation as below.  The distance from the Sun to Mars is 230,000,000,000 meters which is the same as saying 2300 x 10 to the 8th power.  Notice I counted 8 of the zeros and used that in the exponent but left the rest as part of the original number.  This will make it easier since you are dealing with two number that have exponents raised to the same power of 8.

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--------------  X  --------------------  =

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When you look at this equation it looks difficult but since both the top number and bottom number are exponents raised to the same power, they cancel each other out.  So you can drop the exponent all together and just divide the top number by the bottom number  2300 ÷ 3 which equals 766 seconds.

The second question needs you to take the distant the Sun is from Earth and subtract that from the distance from the Sun to Mars.  By subtracting those two, it will tell you how far Mars is from the Earth.  You can change the numbers a little bit to make it easier on you.  Again you want the exponent for both numbers to be the same to make it easier.  When you subtract two number with the exact same exponent, you can just subtract the number and then use that same exponent as part of your answer.

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8 x 10¹⁰  or 8 with 10 zeros or 80,000,000,000 meters.

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