The total amount of her purchase before tax was added is; $52.46
<h3>How to calculate discounted amount?</h3>
We are told that the percentage sales tax she paid on her purchase was 8.75% which translated to an amount of $4.59.
Now, let the amount of her purchase be x. Thus;
8.75% * x = $4.59
x = 4.59 * 100/8.75
x ≈ $52.46
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Answer:
C.6
Step-by-step explanation:
One of the two equations required in the system of equations needed to determine the dollar amount of phone and computer sales Houa made is y = x + 600.
<h3>How do we write the system of equations?</h3>
Let x represents the dollar amount of phone sales Houa made, and y represents the dollar amount of computer sales she made.
Therefore, a system of equations that could be used to determine x and y can be written as follows:
y = x + 600 ........................................................... (1)
0.04x + 0.05y = 129 ......................................... (2)
Learn more about the system of equations here: brainly.com/question/21620502.
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4
(
x
−
2
)
=
2
(
x
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4
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+
2
x
Step 1: Simplify both sides of the equation.
4
(
x
−
2
)
=
2
(
x
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4
)
+
2
x
(
4
)
(
x
)
+
(
4
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(
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2
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=
(
2
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(
x
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+
(
2
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(
−
4
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x
(Distribute)
4
x
+
−
8
=
2
x
+
−
8
+
2
x
4
x
−
8
=
(
2
x
+
2
x
)
+
(
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8
)
(Combine Like Terms)
4
x
−
8
=
4
x
+
−
8
4
x
−
8
=
4
x
−
8
Step 2: Subtract 4x from both sides.
4
x
−
8
−
4
x
=
4
x
−
8
−
4
x
−
8
=
−
8
Step 3: Add 8 to both sides.
−
8
+
8
=
−
8
+
8
0
=
0
Answer:
Step-by-step explanation:
In order to solve this we can start by drawing a sketch of the problem (see attached picture)
So fist, let's take the general form of a sinusoidal movement:
where:
A= amplitude
= angular frequency
x= time
= horizontal shift
b= vertical shift.
In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:
A= 13in - 0.5in =12.5 in
The angular frequency is how many radians the wheel will turn in a minute, so we get:
Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by 
, so in this case:
and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:
b=13in
so when putting it all together we get our equation to be:
