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Lelu [443]
4 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]4 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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kompoz [17]
     <span> You have :
----------------

v0 = 35 m/s

B = angle of elevation = 30 deg

a suby = - g

v suby0 = ( v0 ) ( sin B )

v suby0 = ( 35 m/s ) ( sin 30 ) = 17.5 m/s

At maximum height :
------------------------------

v suby = vy* = 0.0

t = t*

y = ymax = y*

Basic kinematics gives :
-------------------------------------

a suby = dv suby / dt = -g ------> dt = dv suby /a suby

v suby = dy/dt ------> dt = dy / vsuby

dt = dv suby / a suby = dy / v suby

( v suby ) ( d v suby) = ( a suby ) dy = ( -g ) dy

Now integrate and get :
-----------------------------------

( v suby* )^2 - ( v suby0)^2 ( 1/2 ) = ( -g ) ( ymax )

ymax = [ ( v suby0 )^2 - ( v suby* )^2 ] / [ ( 2 ) ( g ) ]

ymax = ( 17.5 m/s )^2 - ( 0.0 m/s )^2 ] / [ ( 2 ) ( 9.807 m/s^2 ) ]

ymax = 15.6 m <------------------

Check the result:
--------------------------

t* = v suby0 / g = ( 17.5 m/s ) / ( 9.807 m/s^2 ) = 1.784 s

y* - y0 = ( v suby0 ) ( t* ) - ( g/2 ) ( t* )^2

y* = ( 17.5 m/s ) ( 1.784 s ) - ( 9.807 m/s^2 / 2 ) ( 1.784 s )^2

y* = ymax = 31.23 m - 15.61 m = 15.6 m

The ymax values agree.</span>
6 0
4 years ago
PLEASE HELP ME!!!
julia-pushkina [17]
A) h(x) = g(x) + 30
The term g(x) represents the cost of the cable service minus the startup fee. Also, B, C, and D choices do not represent $30 as a one-time startup fee, so they are immediately wrong answers.

Good luck!
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3 years ago
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Free_Kalibri [48]

Answer:

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6 0
3 years ago
Solve the following system: <br> y = x + 3<br> 4x + y = 18
sdas [7]
The answer is (3,6).
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3 years ago
A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below
nirvana33 [79]

The missing figure is attached

Answer:

The sheet steel costed $22.41 per square meter

Step-by-step explanation:

<em>To find the cost per square units find the lateral area (they will made the walls only) of the rectangular prism and divide the cost of the steel sheet by it</em>

The formula of the lateral area of the rectangular prism is:

LA = perimeter of base × height

∵ The length of the base is 9 m

∵ The width of the base is 5 m

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∵ Perimeter of base = 2(length + width)

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Let us find the cost per square meter

∵ The total cost of the sheet steel was $4392

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- Divide the cost by the lateral area

∴ The unit cost = 4392 ÷ 196

∴ The unit cost = 22.41 dollars to the nearest cent

The sheet steel costed $22.41 per square meter

4 0
3 years ago
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