Hi There!
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Baseball Bats:
43 x 0.45 = $19.35 as the amount off.
43 - 19.35 = $23.65 with the discount.
23.65 x 2 = $47.3 for two bats.
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Glove:
28 x 0.25 = $7 as the amount off.
28 - 7 = $21 with the discount.
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Together:
21 + 47.3 = $68.3 as the total before taxes.
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With Taxes:
68.3 x 0.055 = $3.7565 as the tax amount.
68.3 - 3.7565 = $64.5435
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Answer:
Not Rounded: $64.5435
Rounded: $64.54
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Hope This Helps :)
Answer: The maximum depth that he will reach is -125 meters.
The first thing you should realize is that this is a quadratic equation and the graph will be a parabola.
We can simply the equation to:
y = (1/20)x^2 - 5x
Now, use -b/2a to find the x-value of the vertex which is 50. Then, input 50 back into the equation to get -125 for the maximum depth.
Answer:
B. 3(4+5) = 3(4) + 3(5)
Step-by-step explanation:
with distributive property, you multiply the number outside the parentheses to all of the numbers inside.
Answer:
You will obtain a complex number rotated by an angle of 45 degrees (counterclockwise) with a modulus scaled by √2
Step-by-step explanation:
In order to see the effect of multiplying z by 1 + i, you can use the representation of complex numbers in the <em>Polar Form</em>. This representation gives you the angle formed by the complex number and the real axis and the distance from the origin to the point.
Let z=a+ib represent a complex number.<em> The Polar</em> Form is:
z = |z| (Cosα + iSinα)
Where |z| is the modulus of the complex number and α is the angle formed with the real axis.
|z| = √a²+b²
α= arctan (b/a)
The multiplication in<em> Polar Form</em> is:
Let Z0 and Z1 represent two complex numbers
Z0= |Z0| (Cosα + iSinα)
z1= |z1|(Cosβ + iSinβ)
The multiplication is:
Z0.Z1 = |Z0||Z1| [Cos(α+β) + i Sin(α+β)]
Notice that when you multiply complex numbers, you are adding angles and multiplying modulus. The addition of angles can be seen as a rotation of the complex number on the plane and the multiplication of modulus can be seen as changing the modulus of the complex number.
The given number 1+i in the Polar Form is:
z = |z| (Cosα + i Sinα)
|z| = √1²+1² = √2
α = arctan(1/1) = 45°
Therefore, you will obtain a complex number rotated by an angle of 45 degrees with a modulus scaled by √2
